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10334523144 = 23311711733187
BaseRepresentation
bin10011001111111110…
…00100111100001000
3222200020020011121110
421213333010330020
5132131114220034
64425252410320
7514045666041
oct114777047410
928606204543
1010334523144
114423629220
1220050169a0
13c890b4c6a
147007618c8
1540743ade9
hex267fc4f08

10334523144 has 128 divisors (see below), whose sum is σ = 28756270080. Its totient is φ = 3068755200.

The previous prime is 10334523113. The next prime is 10334523197. The reversal of 10334523144 is 44132543301.

It is a super-2 number, since 2×103345231442 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3241119 + ... + 3244305.

It is an arithmetic number, because the mean of its divisors is an integer number (224658360).

Almost surely, 210334523144 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 10334523144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14378135040).

10334523144 is an abundant number, since it is smaller than the sum of its proper divisors (18421746936).

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

10334523144 is a wasteful number, since it uses less digits than its factorization.

10334523144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3451 (or 3447 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The spelling of 10334523144 in words is "ten billion, three hundred thirty-four million, five hundred twenty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 71 88 132 142 173 213 264 284 346 426 519 568 692 781 852 1038 1384 1562 1704 1903 2076 2343 3124 3187 3806 4152 4686 5709 6248 6374 7612 9372 9561 11418 12283 12748 15224 18744 19122 22836 24566 25496 35057 36849 38244 45672 49132 70114 73698 76488 98264 105171 135113 140228 147396 210342 226277 270226 280456 294792 405339 420684 452554 540452 551351 678831 810678 841368 905108 1080904 1102702 1357662 1621356 1654053 1810216 2205404 2489047 2715324 3242712 3308106 4410808 4978094 5430648 6064861 6616212 7467141 9956188 12129722 13232424 14934282 18194583 19912376 24259444 29868564 36389166 39145921 48518888 59737128 72778332 78291842 117437763 145556664 156583684 234875526 313167368 430605131 469751052 861210262 939502104 1291815393 1722420524 2583630786 3444841048 5167261572 10334523144