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10042132434 = 2319735032399
BaseRepresentation
bin10010101101000111…
…01100011111010010
3221220212001011221220
421112203230133102
5131031241214214
64340245425510
7503565501015
oct112643543722
927825034856
1010042132434
114293581804
121b4310b296
13c4064c7c9
146b39ad37c
153db9319a9
hex2568ec7d2

10042132434 has 64 divisors (see below), whose sum is σ = 21482496000. Its totient is φ = 3120239232.

The previous prime is 10042132427. The next prime is 10042132447. The reversal of 10042132434 is 43423124001.

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, 4184767 + ... + 4187165.

It is an arithmetic number, because the mean of its divisors is an integer number (335664000).

Almost surely, 210042132434 is an apocalyptic number.

10042132434 is an abundant number, since it is smaller than the sum of its proper divisors (11440363566).

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

10042132434 is a wasteful number, since it uses less digits than its factorization.

10042132434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2999.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10042132434 its reverse (43423124001), we get a palindrome (53465256435).

The spelling of 10042132434 in words is "ten billion, forty-two million, one hundred thirty-two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 19 38 57 73 114 146 219 438 503 1006 1387 1509 2399 2774 3018 4161 4798 7197 8322 9557 14394 19114 28671 36719 45581 57342 73438 91162 110157 136743 175127 220314 273486 350254 525381 697661 1050762 1206697 1395322 2092983 2413394 3327413 3620091 4185966 6654826 7240182 9982239 19964478 22927243 45854486 68781729 88088881 137563458 176177762 264266643 528533286 1673688739 3347377478 5021066217 10042132434