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23140100004 = 22379715718089
BaseRepresentation
bin10101100011010000…
…011110011110100100
32012201200011212122220
4111203100132132210
5334342331200004
614344100352340
71446301414260
oct254320363644
965650155586
1023140100004
1198a4a8a69a
1245996a56b0
13224a102b88
14119735b0a0
15906785dd9
hex56341e7a4

23140100004 has 96 divisors (see below), whose sum is σ = 62743645440. Its totient is φ = 6501261312.

The previous prime is 23140099987. The next prime is 23140100017. The reversal of 23140100004 is 40000104132.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1270192 + ... + 1288280.

It is an arithmetic number, because the mean of its divisors is an integer number (653579640).

Almost surely, 223140100004 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 23140100004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31371822720).

23140100004 is an abundant number, since it is smaller than the sum of its proper divisors (39603545436).

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

23140100004 is a wasteful number, since it uses less digits than its factorization.

23140100004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18357 (or 18355 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 23140100004 its reverse (40000104132), we get a palindrome (63140204136).

The spelling of 23140100004 in words is "twenty-three billion, one hundred forty million, one hundred thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 97 157 194 291 314 388 471 582 628 679 942 1099 1164 1358 1884 2037 2198 2716 3297 4074 4396 6594 8148 13188 15229 18089 30458 36178 45687 54267 60916 72356 91374 106603 108534 126623 182748 213206 217068 253246 319809 379869 426412 506492 639618 759738 1279236 1519476 1754633 2839973 3509266 5263899 5679946 7018532 8519919 10527798 11359892 12282431 17039838 19879811 21055596 24564862 34079676 36847293 39759622 49129724 59639433 73694586 79519244 119278866 147389172 238557732 275477381 550954762 826432143 1101909524 1652864286 1928341667 3305728572 3856683334 5785025001 7713366668 11570050002 23140100004