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42085710112 = 25311511911471
BaseRepresentation
bin100111001100100000…
…001111100100100000
311000122000200120220011
4213030200033210200
51142142420210422
631200042454304
73016631430205
oct471440174440
9130560616804
1042085710112
1116937316a06
1281a6504394
133c79209064
1420735b7cac
151164b7a077
hex9cc80f920

42085710112 has 96 divisors (see below), whose sum is σ = 86605037568. Its totient is φ = 20109600000.

The previous prime is 42085710091. The next prime is 42085710113. The reversal of 42085710112 is 21101758024.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (42085710113) 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, 28609537 + ... + 28611007.

It is an arithmetic number, because the mean of its divisors is an integer number (902135808).

Almost surely, 242085710112 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 42085710112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43302518784).

42085710112 is an abundant number, since it is smaller than the sum of its proper divisors (44519327456).

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

42085710112 is a wasteful number, since it uses less digits than its factorization.

42085710112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1854 (or 1846 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 31.

The spelling of 42085710112 in words is "forty-two billion, eighty-five million, seven hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 31 32 62 124 151 191 248 302 382 496 604 764 992 1208 1471 1528 2416 2942 3056 4681 4832 5884 5921 6112 9362 11768 11842 18724 23536 23684 28841 37448 45601 47072 47368 57682 74896 91202 94736 115364 149792 182404 189472 222121 230728 280961 364808 444242 461456 561922 729616 888484 894071 922912 1123844 1459232 1776968 1788142 2247688 3553936 3576284 4495376 6885751 7107872 7152568 8709791 8990752 13771502 14305136 17419582 27543004 28610272 34839164 42425111 55086008 69678328 84850222 110172016 139356656 169700444 220344032 278713312 339400888 678801776 1315178441 1357603552 2630356882 5260713764 10521427528 21042855056 42085710112