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10040332434 = 23112591571493
BaseRepresentation
bin10010101100111001…
…10101000010010010
3221220201122201211020
421112130311002102
5131030311114214
64340143100310
7503544263136
oct112634650222
927821581736
1010040332434
114292562400
121b425a1696
13c4016c412
146b36613c6
153db6c84a9
hex256735092

10040332434 has 96 divisors (see below), whose sum is σ = 22604339520. Its totient is φ = 2969915520.

The previous prime is 10040332427. The next prime is 10040332459. The reversal of 10040332434 is 43423304001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6724192 + ... + 6725684.

It is an arithmetic number, because the mean of its divisors is an integer number (235461870).

Almost surely, 210040332434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10040332434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11302169760).

10040332434 is an abundant number, since it is smaller than the sum of its proper divisors (12564007086).

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

10040332434 is a wasteful number, since it uses less digits than its factorization.

10040332434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1736 (or 1725 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 10040332434 its reverse (43423304001), we get a palindrome (53463636435).

The spelling of 10040332434 in words is "ten billion, forty million, three hundred thirty-two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 59 66 118 121 157 177 242 314 354 363 471 649 726 942 1298 1493 1727 1947 2986 3454 3894 4479 5181 7139 8958 9263 10362 14278 16423 18526 18997 21417 27789 32846 37994 42834 49269 55578 56991 88087 98538 101893 113982 176174 180653 203786 234401 264261 305679 361306 468802 528522 541959 611358 703203 968957 1083918 1120823 1406406 1937914 2241646 2578411 2906871 3362469 5156822 5813742 6724938 7735233 10658527 13829659 15470466 21317054 27659318 28362521 31975581 41488977 56725042 63951162 82977954 85087563 152126249 170175126 304252498 456378747 912757494 1673388739 3346777478 5020166217 10040332434