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141240242235344 = 24779193312126501
BaseRepresentation
bin100000000111010100001110…
…011101110110011111010000
3200112002102202022211000111112
4200013110032131312133100
5122003040004003012334
61220220512130232452
741515161604245320
oct4007241635663720
9615072668730445
10141240242235344
114100471768637a
1213a1137b425728
1360a6b89302085
1426c40c823b280
15114deb20ac4ce
hex80750e7767d0

141240242235344 has 160 divisors (see below), whose sum is σ = 318460040586240. Its totient is φ = 59434352640000.

The previous prime is 141240242235343. The next prime is 141240242235427. The reversal of 141240242235344 is 443532242042141.

141240242235344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141240242235343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5329606094 + ... + 5329632594.

It is an arithmetic number, because the mean of its divisors is an integer number (1990375253664).

Almost surely, 2141240242235344 is an apocalyptic number.

141240242235344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141240242235344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159230020293120).

141240242235344 is an abundant number, since it is smaller than the sum of its proper divisors (177219798350896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

141240242235344 is a wasteful number, since it uses less digits than its factorization.

141240242235344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29909 (or 29903 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 41.

Adding to 141240242235344 its reverse (443532242042141), we get a palindrome (584772484277485).

The spelling of 141240242235344 in words is "one hundred forty-one trillion, two hundred forty billion, two hundred forty-two million, two hundred thirty-five thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 79 112 158 193 316 386 553 632 772 1106 1264 1351 1544 2212 2702 3088 3121 4424 5404 6242 8848 10808 12484 15247 21616 21847 24968 26501 30494 43694 49936 53002 60988 87388 106004 106729 121976 174776 185507 212008 213458 243952 246559 349552 371014 424016 426916 493118 602353 742028 853832 986236 1204706 1484056 1707664 1725913 1972472 2093579 2409412 2968112 3451826 3944944 4187158 4216471 4818824 5114693 6903652 8374316 8432942 9637648 10229386 13807304 14655053 16748632 16865884 20458772 27614608 29310106 33497264 33731768 35802851 40917544 47585887 58620212 67463536 71605702 81835088 82709621 95171774 117240424 143211404 165419242 190343548 234480848 286422808 330838484 333101209 380687096 404060747 572845616 578967347 661676968 666202418 761374192 808121494 1157934694 1323353936 1332404836 1616242988 2315869388 2664809672 2828425229 3232485976 4631738776 5329619344 5656850458 6464971952 6534060059 9263477552 11313700916 13068120118 15962956853 22627401832 26136240236 31925913706 45254803664 45738420413 52272480472 63851827412 91476840826 104544960944 111740697971 127703654824 182953681652 223481395942 255407309648 365907363304 446962791884 731814726608 893925583768 1261073591387 1787851167536 2522147182774 5044294365548 8827515139709 10088588731096 17655030279418 20177177462192 35310060558836 70620121117672 141240242235344