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42323451368 = 231119376710211
BaseRepresentation
bin100111011010101011…
…001001110111101000
311001020121001002120212
4213122223021313220
51143134300420433
631235414240252
73025546254332
oct473253116750
9131217032525
1042323451368
1116a49537490
128252056088
133cb6548a63
142096dc2452
15117a98bd48
hex9daac9de8

42323451368 has 128 divisors (see below), whose sum is σ = 94996108800. Its totient is φ = 17466451200.

The previous prime is 42323451343. The next prime is 42323451397. The reversal of 42323451368 is 86315432324.

It is a happy number.

It is a super-2 number, since 2×423234513682 (a number of 22 digits) contains 22 as substring.

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, 4139783 + ... + 4149993.

It is an arithmetic number, because the mean of its divisors is an integer number (742157100).

Almost surely, 242323451368 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 42323451368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47498054400).

42323451368 is an abundant number, since it is smaller than the sum of its proper divisors (52672657432).

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

42323451368 is a wasteful number, since it uses less digits than its factorization.

42323451368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10351 (or 10347 counting only the distinct ones).

The product of its digits is 414720, while the sum is 41.

The spelling of 42323451368 in words is "forty-two billion, three hundred twenty-three million, four hundred fifty-one thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 19 22 37 38 44 67 74 76 88 134 148 152 209 268 296 407 418 536 703 737 814 836 1273 1406 1474 1628 1672 2479 2546 2812 2948 3256 4958 5092 5624 5896 7733 9916 10184 10211 14003 15466 19832 20422 27269 28006 30932 40844 47101 54538 56012 61864 81688 94202 109076 112024 112321 188404 194009 218152 224642 376808 377807 388018 449284 518111 684137 755614 776036 898568 1036222 1368274 1511228 1552072 2072444 2134099 2736548 3022456 4144888 4155877 4268198 5473096 7178333 7525507 8311754 8536396 12998603 14356666 15051014 16623508 17072792 25313069 25997206 28713332 30102028 33247016 50626138 51994412 57426664 60204056 78961663 101252276 103988824 142984633 157923326 202504552 278443759 285969266 315846652 480948311 556887518 571938532 631693304 961896622 1113775036 1143877064 1923793244 2227550072 3847586488 5290431421 10580862842 21161725684 42323451368