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42035854032 = 24321729592121
BaseRepresentation
bin100111001001100010…
…000011101011010000
311000111112212122012200
4213021202003223100
51142042134312112
631151102123200
73015454602204
oct471142035320
9130445778180
1042035854032
1116911164337
128191880500
133c6baa1313
14206ab1ab04
1511605cccdc
hex9c9883ad0

42035854032 has 120 divisors (see below), whose sum is σ = 128857589640. Its totient is φ = 12732948480.

The previous prime is 42035854019. The next prime is 42035854051. The reversal of 42035854032 is 23045853024.

42035854032 is a `hidden beast` number, since 4 + 2 + 0 + 3 + 585 + 40 + 32 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16109701776 + 25926152256 = 126924^2 + 161016^2 .

It is a super-2 number, since 2×420358540322 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 225069 + ... + 367052.

It is an arithmetic number, because the mean of its divisors is an integer number (1073813247).

Almost surely, 242035854032 is an apocalyptic number.

It is an amenable number.

42035854032 is an abundant number, since it is smaller than the sum of its proper divisors (86821735608).

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

42035854032 is a wasteful number, since it uses less digits than its factorization.

42035854032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592181 (or 592172 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 42035854032 in words is "forty-two billion, thirty-five million, eight hundred fifty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 29 34 36 48 51 58 68 72 87 102 116 136 144 153 174 204 232 261 272 306 348 408 464 493 522 612 696 816 986 1044 1224 1392 1479 1972 2088 2448 2958 3944 4176 4437 5916 7888 8874 11832 17748 23664 35496 70992 592121 1184242 1776363 2368484 3552726 4736968 5329089 7105452 9473936 10066057 10658178 14210904 17171509 20132114 21316356 28421808 30198171 34343018 40264228 42632712 51514527 60396342 68686036 80528456 85265424 90594513 103029054 120792684 137372072 154543581 161056912 181189026 206058108 241585368 274744144 291915653 309087162 362378052 412116216 483170736 583831306 618174324 724756104 824232432 875746959 1167662612 1236348648 1449512208 1751493918 2335325224 2472697296 2627240877 3502987836 4670650448 5254481754 7005975672 10508963508 14011951344 21017927016 42035854032