Search a number
-
+
137033345925144 = 23327876661363061
BaseRepresentation
bin11111001010000110001111…
…111010000000000000011000
3122222012021000111012202221200
4133022012033322000000120
5120430123243024101034
61203240130002234200
740602222025516434
oct3712061772000030
9588167014182850
10137033345925144
113a732574360699
1213451b92355960
135b6025c517666
1425ba640d719c4
1510c98424e6a99
hex7ca18fe80018

137033345925144 has 96 divisors (see below), whose sum is σ = 371660368301040. Its totient is φ = 45612767174400.

The previous prime is 137033345925097. The next prime is 137033345925163. The reversal of 137033345925144 is 441529543330731.

137033345925144 is a `hidden beast` number, since 1 + 3 + 7 + 0 + 3 + 3 + 3 + 4 + 592 + 5 + 1 + 44 = 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 23 ways as a sum of consecutive naturals, for example, 377257374 + ... + 377620434.

Almost surely, 2137033345925144 is an apocalyptic number.

It is an amenable number.

137033345925144 is an abundant number, since it is smaller than the sum of its proper divisors (234627022375896).

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

137033345925144 is a wasteful number, since it uses less digits than its factorization.

137033345925144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370521 (or 370514 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 54.

The spelling of 137033345925144 in words is "one hundred thirty-seven trillion, thirty-three billion, three hundred forty-five million, nine hundred twenty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 787 1574 2361 3148 4722 6296 6661 7083 9444 13322 14166 18888 19983 26644 28332 39966 53288 56664 59949 79932 119898 159864 239796 363061 479592 726122 1089183 1452244 2178366 2904488 3267549 4356732 5242207 6535098 8713464 10484414 13070196 15726621 20968828 26140392 31453242 41937656 47179863 62906484 94359726 125812968 188719452 285729007 377438904 571458014 857187021 1142916028 1714374042 2285832056 2418349321 2571561063 3428748084 4836698642 5143122126 6857496168 7255047963 9673397284 10286244252 14510095926 19346794568 20572488504 21765143889 29020191852 43530287778 58040383704 87060575556 174121151112 1903240915627 3806481831254 5709722746881 7612963662508 11419445493762 15225927325016 17129168240643 22838890987524 34258336481286 45677781975048 68516672962572 137033345925144