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64142359344 = 24327281226453
BaseRepresentation
bin111011101111001011…
…101011101100110000
320010120012011110111200
4323233023223230300
52022330420444334
645244441211200
74430336026050
oct735713535460
9203505143450
1064142359344
1125225764a38
1210521190b00
136082a03aab
143166aa3560
151a06248799
hexeef2ebb30

64142359344 has 120 divisors (see below), whose sum is σ = 205884730272. Its totient is φ = 18261089280.

The previous prime is 64142359319. The next prime is 64142359367. The reversal of 64142359344 is 44395324146.

64142359344 is a `hidden beast` number, since 6 + 4 + 14 + 2 + 3 + 593 + 44 = 666.

It is a super-2 number, since 2×641423593442 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 64142359344.

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, 170022 + ... + 396474.

Almost surely, 264142359344 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 64142359344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102942365136).

64142359344 is an abundant number, since it is smaller than the sum of its proper divisors (141742370928).

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

64142359344 is a wasteful number, since it uses less digits than its factorization.

64142359344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226755 (or 226746 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The spelling of 64142359344 in words is "sixty-four billion, one hundred forty-two million, three hundred fifty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 281 336 504 562 843 1008 1124 1686 1967 2248 2529 3372 3934 4496 5058 5901 6744 7868 10116 11802 13488 15736 17703 20232 23604 31472 35406 40464 47208 70812 94416 141624 226453 283248 452906 679359 905812 1358718 1585171 1811624 2038077 2717436 3170342 3623248 4076154 4755513 5434872 6340684 8152308 9511026 10869744 12681368 14266539 16304616 19022052 25362736 28533078 32609232 38044104 57066156 63633293 76088208 114132312 127266586 190899879 228264624 254533172 381799758 445433051 509066344 572699637 763599516 890866102 1018132688 1145399274 1336299153 1527199032 1781732204 2290798548 2672598306 3054398064 3563464408 4008897459 4581597096 5345196612 7126928816 8017794918 9163194192 10690393224 16035589836 21380786448 32071179672 64142359344