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51431004144 = 243213166716481
BaseRepresentation
bin101111111001100001…
…101101011111110000
311220202022111201021100
4233321201231133300
51320312314113034
635343240524400
73500336215332
oct577141553760
9156668451240
1051431004144
111a8a2508703
129b74180700
134b08385540
1426bc7d3452
151510311099
hexbf986d7f0

51431004144 has 120 divisors (see below), whose sum is σ = 155109728592. Its totient is φ = 15814471680.

The previous prime is 51431004137. The next prime is 51431004161. The reversal of 51431004144 is 44140013415.

51431004144 is a `hidden beast` number, since 5 + 143 + 100 + 414 + 4 = 666.

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, 3112384 + ... + 3128864.

Almost surely, 251431004144 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 51431004144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77554864296).

51431004144 is an abundant number, since it is smaller than the sum of its proper divisors (103678724448).

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

51431004144 is a wasteful number, since it uses less digits than its factorization.

51431004144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18175 (or 18166 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 51431004144 its reverse (44140013415), we get a palindrome (95571017559).

The spelling of 51431004144 in words is "fifty-one billion, four hundred thirty-one million, four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1667 1872 3334 5001 6668 10002 13336 15003 16481 20004 21671 26672 30006 32962 40008 43342 49443 60012 65013 65924 80016 86684 98886 120024 130026 131848 148329 173368 195039 197772 214253 240048 260052 263696 296658 346736 390078 395544 428506 520104 593316 642759 780156 791088 857012 1040208 1186632 1285518 1560312 1714024 1928277 2373264 2571036 3120624 3428048 3856554 5142072 7713108 10284144 15426216 27473827 30852432 54947654 82421481 109895308 164842962 219790616 247264443 329685924 357159751 439581232 494528886 659371848 714319502 989057772 1071479253 1318743696 1428639004 1978115544 2142958506 2857278008 3214437759 3956231088 4285917012 5714556016 6428875518 8571834024 12857751036 17143668048 25715502072 51431004144