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140441323134 = 237171929356981
BaseRepresentation
bin1000001011001011110…
…1001000011001111110
3111102111121010102021110
42002302331020121332
54300110434320014
6144303504542450
713101160356450
oct2026275103176
9442447112243
10140441323134
1154619513802
1223275621a26
1310322141448
146b240ac2d0
1539be848d59
hex20b2f4867e

140441323134 has 128 divisors (see below), whose sum is σ = 370118937600. Its totient is φ = 34544240640.

The previous prime is 140441323133. The next prime is 140441323159. The reversal of 140441323134 is 431323144041.

140441323134 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140441323133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 214924 + ... + 571904.

It is an arithmetic number, because the mean of its divisors is an integer number (2891554200).

Almost surely, 2140441323134 is an apocalyptic number.

140441323134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 140441323134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185059468800).

140441323134 is an abundant number, since it is smaller than the sum of its proper divisors (229677614466).

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

140441323134 is a wasteful number, since it uses less digits than its factorization.

140441323134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357058.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 140441323134 its reverse (431323144041), we get a palindrome (571764467175).

The spelling of 140441323134 in words is "one hundred forty billion, four hundred forty-one million, three hundred twenty-three thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 14 17 19 21 29 34 38 42 51 57 58 87 102 114 119 133 174 203 238 266 323 357 399 406 493 551 609 646 714 798 969 986 1102 1218 1479 1653 1938 2261 2958 3306 3451 3857 4522 6783 6902 7714 9367 10353 11571 13566 18734 20706 23142 28101 56202 65569 131138 196707 356981 393414 713962 1070943 2141886 2498867 4997734 6068677 6782639 7496601 10352449 12137354 13565278 14993202 18206031 20347917 20704898 31057347 36412062 40695834 42480739 47478473 62114694 72467143 84961478 94956946 115304863 127442217 142435419 144934286 175991633 196696531 217401429 230609726 254884434 284870838 345914589 351983266 393393062 434802858 527974899 590089593 691829178 807134041 1055949798 1180179186 1231941431 1376875717 1614268082 2421402123 2463882862 2753751434 3343841027 3695824293 4130627151 4842804246 6687682054 7391648586 8261254302 10031523081 20063046162 23406887189 46813774378 70220661567 140441323134