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42140999952 = 2433364326777
BaseRepresentation
bin100111001111110011…
…001010000100010000
311000202212201121022000
4213033303022010100
51142301043444302
631205335514000
73021202406112
oct471763120420
9130685647260
1042140999952
111696554aa97
128200b28900
133c877c713c
14207aa8b3b2
15116994c31c
hex9cfcca110

42140999952 has 80 divisors (see below), whose sum is σ = 120997999680. Its totient is φ = 14042619648.

The previous prime is 42140999951. The next prime is 42141000037. The reversal of 42140999952 is 25999904124.

42140999952 is a `hidden beast` number, since 421 + 40 + 9 + 99 + 95 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (42140999951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1560388 + ... + 1587164.

It is an arithmetic number, because the mean of its divisors is an integer number (1512474996).

Almost surely, 242140999952 is an apocalyptic number.

It is an amenable number.

42140999952 is an abundant number, since it is smaller than the sum of its proper divisors (78856999728).

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

42140999952 is a wasteful number, since it uses less digits than its factorization.

42140999952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30437 (or 30425 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 42140999952 in words is "forty-two billion, one hundred forty million, nine hundred ninety-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 3643 7286 10929 14572 21858 26777 29144 32787 43716 53554 58288 65574 80331 87432 98361 107108 131148 160662 174864 196722 214216 240993 262296 321324 393444 428432 481986 524592 642648 722979 786888 963972 1285296 1445958 1573776 1927944 2891916 3855888 5783832 11567664 97548611 195097222 292645833 390194444 585291666 780388888 877937499 1170583332 1560777776 1755874998 2341166664 2633812497 3511749996 4682333328 5267624994 7023499992 10535249988 14046999984 21070499976 42140999952