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56142245214 = 232114110168473
BaseRepresentation
bin110100010010010101…
…101010110101011110
312100220122112120001100
4310102111222311132
51404434403321324
641442535053530
74025154132126
oct642225526536
9170818476040
1056142245214
112189a919870
12aa69b112a6
1353a9450a53
142a083a9c86
1516d8c294c9
hexd1256ad5e

56142245214 has 96 divisors (see below), whose sum is σ = 137284344288. Its totient is φ = 16433280000.

The previous prime is 56142245197. The next prime is 56142245233. The reversal of 56142245214 is 41254224165.

56142245214 is a `hidden beast` number, since 5 + 614 + 2 + 24 + 5 + 2 + 14 = 666.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 785682 + ... + 854154.

It is an arithmetic number, because the mean of its divisors is an integer number (1430045253).

Almost surely, 256142245214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56142245214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68642172144).

56142245214 is an abundant number, since it is smaller than the sum of its proper divisors (81142099074).

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

56142245214 is a wasteful number, since it uses less digits than its factorization.

56142245214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68634 (or 68631 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

Adding to 56142245214 its reverse (41254224165), we get a palindrome (97396469379).

The spelling of 56142245214 in words is "fifty-six billion, one hundred forty-two million, two hundred forty-five thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 41 66 82 99 101 123 198 202 246 303 369 451 606 738 902 909 1111 1353 1818 2222 2706 3333 4059 4141 6666 8118 8282 9999 12423 19998 24846 37269 45551 68473 74538 91102 136653 136946 205419 273306 409959 410838 616257 753203 819918 1232514 1506406 2259609 2807393 4519218 5614786 6778827 6915773 8422179 13557654 13831546 16844358 20747319 25266537 30881323 41494638 50533074 61762646 62241957 76073503 92643969 124483914 152147006 185287938 228220509 277931907 283546693 456441018 555863814 567093386 684661527 850640079 1369323054 1701280158 2551920237 3119013623 5103840474 6238027246 9357040869 18714081738 28071122607 56142245214