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231141760392 = 23341714796907
BaseRepresentation
bin1101011101000100011…
…1110101110110001000
3211002121200000000200110
43113101013311312020
512241334242313032
6254103550034320
722461623355234
oct3272107656610
9732550000613
10231141760392
118a032552764
1238968aa89a0
1318a480c6b2a
14b28a0195c4
15602c4327cc
hex35d11f5d88

231141760392 has 128 divisors (see below), whose sum is σ = 601626009600. Its totient is φ = 73943923200.

The previous prime is 231141760391. The next prime is 231141760403. The reversal of 231141760392 is 293067141132.

It is a super-2 number, since 2×2311417603922 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 231141760392.

It is not an unprimeable number, because it can be changed into a prime (231141760391) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33461403 + ... + 33468309.

It is an arithmetic number, because the mean of its divisors is an integer number (4700203200).

Almost surely, 2231141760392 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 231141760392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300813004800).

231141760392 is an abundant number, since it is smaller than the sum of its proper divisors (370484249208).

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

231141760392 is a wasteful number, since it uses less digits than its factorization.

231141760392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7507 (or 7503 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The spelling of 231141760392 in words is "two hundred thirty-one billion, one hundred forty-one million, seven hundred sixty thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 24 41 71 82 123 142 164 213 246 284 328 426 479 492 568 852 958 984 1437 1704 1916 2874 2911 3832 5748 5822 6907 8733 11496 11644 13814 17466 19639 20721 23288 27628 34009 34932 39278 41442 55256 58917 68018 69864 78556 82884 102027 117834 136036 157112 165768 204054 235668 272072 283187 408108 471336 490397 566374 816216 849561 980794 1132748 1394369 1471191 1699122 1961588 2265496 2788738 2942382 3308453 3398244 3923176 4183107 5577476 5884764 6616906 6796488 8366214 9925359 11154952 11769528 13233812 16732428 19850718 20106277 26467624 33464856 39701436 40212554 60318831 79402872 80425108 120637662 135646573 160850216 234900163 241275324 271293146 406939719 469800326 482550648 542586292 704700489 813879438 939600652 1085172584 1409400978 1627758876 1879201304 2818801956 3255517752 5637603912 9630906683 19261813366 28892720049 38523626732 57785440098 77047253464 115570880196 231141760392