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42358704408 = 233550343319
BaseRepresentation
bin100111011100110001…
…101000100100011000
311001100001101010200000
4213130301220210120
51143222312020113
631243114013000
73026455022016
oct473461504430
9131301333600
1042358704408
1116a67425629
128261a17160
133cc093ca47
14209b95b8b6
15117db02373
hex9dcc68918

42358704408 has 96 divisors (see below), whose sum is σ = 119209708800. Its totient is φ = 14091172128.

The previous prime is 42358704379. The next prime is 42358704431. The reversal of 42358704408 is 80440785324.

It is a happy number.

42358704408 is a `hidden beast` number, since 4 + 23 + 587 + 0 + 4 + 40 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 956173 + ... + 999491.

It is an arithmetic number, because the mean of its divisors is an integer number (1241767800).

Almost surely, 242358704408 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 42358704408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59604854400).

42358704408 is an abundant number, since it is smaller than the sum of its proper divisors (76851004392).

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

42358704408 is a wasteful number, since it uses less digits than its factorization.

42358704408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43843 (or 43827 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 42358704408 in words is "forty-two billion, three hundred fifty-eight million, seven hundred four thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 503 648 972 1006 1509 1944 2012 3018 4024 4527 6036 9054 12072 13581 18108 27162 36216 40743 43319 54324 81486 86638 108648 122229 129957 162972 173276 244458 259914 325944 346552 389871 488916 519828 779742 977832 1039656 1169613 1559484 2339226 3118968 3508839 4678452 7017678 9356904 10526517 14035356 21053034 21789457 28070712 42106068 43578914 65368371 84212136 87157828 130736742 174315656 196105113 261473484 392210226 522946968 588315339 784420452 1176630678 1568840904 1764946017 2353261356 3529892034 4706522712 5294838051 7059784068 10589676102 14119568136 21179352204 42358704408