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10040373434 = 27131731104681
BaseRepresentation
bin10010101100111001…
…11111000010111010
3221220201201211001202
421112130333002322
5131030313422214
64340144014202
7503544523520
oct112634770272
927821654052
1010040373434
114292590193
121b42601362
13c40184c90
146b3672310
153db6d56de
hex25673f0ba

10040373434 has 64 divisors (see below), whose sum is σ = 20259735552. Its totient is φ = 3617740800.

The previous prime is 10040373401. The next prime is 10040373461. The reversal of 10040373434 is 43437304001.

It is a junction number, because it is equal to n+sod(n) for n = 10040373397 and 10040373406.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 43574 + ... + 148254.

It is an arithmetic number, because the mean of its divisors is an integer number (316558368).

Almost surely, 210040373434 is an apocalyptic number.

10040373434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10040373434 is an abundant number, since it is smaller than the sum of its proper divisors (10219362118).

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

10040373434 is a wasteful number, since it uses less digits than its factorization.

10040373434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104751.

The product of its (nonzero) digits is 12096, while the sum is 29.

Adding to 10040373434 its reverse (43437304001), we get a palindrome (53477677435).

The spelling of 10040373434 in words is "ten billion, forty million, three hundred seventy-three thousand, four hundred thirty-four".

Divisors: 1 2 7 13 14 17 26 31 34 62 91 119 182 217 221 238 403 434 442 527 806 1054 1547 2821 3094 3689 5642 6851 7378 13702 47957 95914 104681 209362 732767 1360853 1465534 1779577 2721706 3245111 3559154 6490222 9525971 12457039 19051942 22715777 23134501 24914078 42186443 45431554 46269002 55166887 84372886 110333774 161941507 295305101 323883014 386168209 590610202 717169531 772336418 1434339062 5020186717 10040373434