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42101423016 = 23341536712049
BaseRepresentation
bin100111001101011100…
…001011101110101000
311000200010020212221120
4213031130023232220
51142210431014031
631201403335240
73020212122342
oct471534135650
9130603225846
1042101423016
1116945179284
1281ab821520
133c7c54b033
142075708292
151166230a96
hex9cd70bba8

42101423016 has 128 divisors (see below), whose sum is σ = 111503952000. Its totient is φ = 13231595520.

The previous prime is 42101422999. The next prime is 42101423017. The reversal of 42101423016 is 61032410124.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (42101423017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3488160 + ... + 3500208.

It is an arithmetic number, because the mean of its divisors is an integer number (871124625).

Almost surely, 242101423016 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 42101423016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55751976000).

42101423016 is an abundant number, since it is smaller than the sum of its proper divisors (69402528984).

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

42101423016 is a wasteful number, since it uses less digits than its factorization.

42101423016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12219 (or 12215 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 42101423016 in words is "forty-two billion, one hundred one million, four hundred twenty-three thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 24 41 53 67 82 106 123 134 159 164 201 212 246 268 318 328 402 424 492 536 636 804 984 1272 1608 2173 2747 3551 4346 5494 6519 7102 8241 8692 10653 10988 12049 13038 14204 16482 17384 21306 21976 24098 26076 28408 32964 36147 42612 48196 52152 65928 72294 85224 96392 144588 145591 289176 291182 436773 494009 582364 638597 807283 873546 988018 1164728 1277194 1482027 1614566 1747092 1915791 1976036 2421849 2554388 2964054 3229132 3494184 3831582 3952072 4843698 5108776 5928108 6458264 7663164 9687396 11856216 15326328 19374792 26182477 33098603 42785999 52364954 66197206 78547431 85571998 99295809 104729908 128357997 132394412 157094862 171143996 198591618 209459816 256715994 264788824 314189724 342287992 397183236 513431988 628379448 794366472 1026863976 1754225959 3508451918 5262677877 7016903836 10525355754 14033807672 21050711508 42101423016