Search a number
-
+
151404148134 = 236113918971
BaseRepresentation
bin1000110100000001100…
…0111111010110100110
3112110210121121122000000
42031000120333112212
54440033430220014
6153315404202130
713636636011411
oct2150030772646
9473717548000
10151404148134
1159234770458
1225414b39346
131137b451045
147484062b78
153e11ee3509
hex234063f5a6

151404148134 has 56 divisors (see below), whose sum is σ = 343517247432. Its totient is φ = 50021375040.

The previous prime is 151404148123. The next prime is 151404148139. The reversal of 151404148134 is 431841404151.

151404148134 is a `hidden beast` number, since 1 + 5 + 140 + 4 + 1 + 481 + 34 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151404148139) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 294732 + ... + 624239.

Almost surely, 2151404148134 is an apocalyptic number.

151404148134 is an abundant number, since it is smaller than the sum of its proper divisors (192113099298).

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

151404148134 is an equidigital number, since it uses as much as digits as its factorization.

151404148134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919104 (or 919089 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 151404148134 in words is "one hundred fifty-one billion, four hundred four million, one hundred forty-eight thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 113 162 226 243 339 486 678 729 1017 1458 2034 3051 6102 9153 18306 27459 54918 82377 164754 918971 1837942 2756913 5513826 8270739 16541478 24812217 49624434 74436651 103843723 148873302 207687446 223309953 311531169 446619906 623062338 669929859 934593507 1339859718 1869187014 2803780521 5607561042 8411341563 16822683126 25234024689 50468049378 75702074067 151404148134