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137304040284 = 2232171911808053
BaseRepresentation
bin111111111011111110…
…1010110001101011100
3111010101221202221021100
41333313331112031130
54222144313242114
6143024314033100
712630344041305
oct1776775261534
9433357687240
10137304040284
1153259607764
122273aa18790
13cc42191568
14690756b7ac
1538891d8909
hex1ff7f5635c

137304040284 has 72 divisors (see below), whose sum is σ = 386831849040. Its totient is φ = 40808627712.

The previous prime is 137304040261. The next prime is 137304040297. The reversal of 137304040284 is 482040403731.

137304040284 is a `hidden beast` number, since 1 + 37 + 304 + 0 + 40 + 284 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 5892399 + ... + 5915654.

It is an arithmetic number, because the mean of its divisors is an integer number (5372664570).

Almost surely, 2137304040284 is an apocalyptic number.

It is an amenable number.

137304040284 is an abundant number, since it is smaller than the sum of its proper divisors (249527808756).

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

137304040284 is a wasteful number, since it uses less digits than its factorization.

137304040284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11808099 (or 11808094 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 137304040284 in words is "one hundred thirty-seven billion, three hundred four million, forty thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 17 18 19 34 36 38 51 57 68 76 102 114 153 171 204 228 306 323 342 612 646 684 969 1292 1938 2907 3876 5814 11628 11808053 23616106 35424159 47232212 70848318 106272477 141696636 200736901 212544954 224353007 401473802 425089908 448706014 602210703 673059021 802947604 897412028 1204421406 1346118042 1806632109 2019177063 2408842812 2692236084 3613264218 3814001119 4038354126 7226528436 7628002238 8076708252 11442003357 15256004476 22884006714 34326010071 45768013428 68652020142 137304040284