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241337753072 = 241317671995119
BaseRepresentation
bin1110000011000011011…
…0011101110111110000
3212001221020120010012222
43200300312131313300
512423224431044242
6302511413340212
723302401024353
oct3406066356760
9761836503188
10241337753072
1193394962999
123a933637668
13199b15975b0
14b9761da29a
1564276075d2
hex3830d9ddf0

241337753072 has 160 divisors (see below), whose sum is σ = 543965184000. Its totient is φ = 102730788864.

The previous prime is 241337753071. The next prime is 241337753077. The reversal of 241337753072 is 270357733142.

It is a super-2 number, since 2×2413377530722 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241337753071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47142929 + ... + 47148047.

It is an arithmetic number, because the mean of its divisors is an integer number (3399782400).

Almost surely, 2241337753072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241337753072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271982592000).

241337753072 is an abundant number, since it is smaller than the sum of its proper divisors (302627430928).

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

241337753072 is a wasteful number, since it uses less digits than its factorization.

241337753072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5423 (or 5417 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 44.

The spelling of 241337753072 in words is "two hundred forty-one billion, three hundred thirty-seven million, seven hundred fifty-three thousand, seventy-two".

Divisors: 1 2 4 8 13 16 17 26 34 52 67 68 104 134 136 199 208 221 268 272 398 442 536 796 871 884 1072 1139 1592 1742 1768 2278 2587 3184 3383 3484 3536 4556 5119 5174 6766 6968 9112 10238 10348 13333 13532 13936 14807 18224 20476 20696 26666 27064 29614 40952 41392 43979 53332 54128 59228 66547 81904 87023 87958 106664 118456 133094 173329 174046 175916 213328 226661 236912 266188 342973 346658 348092 351832 453322 532376 685946 693316 696184 703664 906644 1018681 1064752 1131299 1371892 1386632 1392368 1813288 2037362 2262598 2743784 2773264 2946593 3626576 4074724 4458649 4525196 5487568 5830541 5893186 8149448 8917298 9050392 11661082 11786372 13242853 16298896 17317577 17834596 18100784 23322164 23572744 26485706 34635154 35669192 46644328 47145488 52971412 68251627 69270308 71338384 75797033 93288656 105942824 136503254 138540616 151594066 211885648 225128501 273006508 277081232 303188132 450257002 546013016 606376264 887271151 900514004 1092026032 1160277659 1212752528 1774542302 1801028008 2320555318 3549084604 3602056016 4641110636 7098169208 9282221272 14196338416 15083609567 18564442544 30167219134 60334438268 120668876536 241337753072