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51423555141 = 32721277191277
BaseRepresentation
bin101111111001000101…
…010010111001000101
311220201210111021011100
4233321011102321011
51320303412231031
635342413130313
73500216002200
oct577105227105
9156653437140
1051423555141
111a899290102
129b71789999
134b06977b4a
1426bb814937
15150e83dde6
hexbf9152e45

51423555141 has 72 divisors (see below), whose sum is σ = 87275335680. Its totient is φ = 29090166336.

The previous prime is 51423555137. The next prime is 51423555167. The reversal of 51423555141 is 14155532415.

51423555141 is a `hidden beast` number, since 51 + 42 + 3 + 55 + 514 + 1 = 666.

It is not a de Polignac number, because 51423555141 - 22 = 51423555137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 51423555096 and 51423555105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51423555941) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 40268395 + ... + 40269671.

It is an arithmetic number, because the mean of its divisors is an integer number (1212157440).

Almost surely, 251423555141 is an apocalyptic number.

It is an amenable number.

51423555141 is a deficient number, since it is larger than the sum of its proper divisors (35851780539).

51423555141 is a wasteful number, since it uses less digits than its factorization.

51423555141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2143 (or 2133 counting only the distinct ones).

The product of its digits is 60000, while the sum is 36.

The spelling of 51423555141 in words is "fifty-one billion, four hundred twenty-three million, five hundred fifty-five thousand, one hundred forty-one".

Divisors: 1 3 7 9 21 49 63 127 147 381 441 719 889 1143 1277 2157 2667 3831 5033 6223 6471 8001 8939 11493 15099 18669 26817 35231 45297 56007 62573 80451 91313 105693 162179 187719 273939 317079 486537 563157 639191 821817 918163 1135253 1459611 1917573 2754489 3405759 4474337 5752719 6427141 7946771 8263467 10217277 13423011 19281423 23840313 40269033 44989987 57844269 71520939 116606701 134969961 349820103 404909883 816246907 1049460309 2448740721 5713728349 7346222163 17141185047 51423555141