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151410015104 = 2771137121609
BaseRepresentation
bin1000110100000010111…
…1010111101110000000
3112110211000122200222012
42031000233113232000
54440041430440404
6153320134032052
713640036615315
oct2150057275600
9473730580865
10151410015104
1159238008397
1225416aa8628
131137c72661a
147484b4cd0c
153e127a1a6e
hex2340bd7b80

151410015104 has 64 divisors (see below), whose sum is σ = 308120824800. Its totient is φ = 74093322240.

The previous prime is 151410015091. The next prime is 151410015199. The reversal of 151410015104 is 401510014151.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 151410015104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1184252 + ... + 1305860.

Almost surely, 2151410015104 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 151410015104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154060412400).

151410015104 is an abundant number, since it is smaller than the sum of its proper divisors (156710809696).

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

151410015104 is a wasteful number, since it uses less digits than its factorization.

151410015104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121831 (or 121819 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 23.

Adding to 151410015104 its reverse (401510014151), we get a palindrome (552920029255).

The spelling of 151410015104 in words is "one hundred fifty-one billion, four hundred ten million, fifteen thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 71 128 137 142 274 284 548 568 1096 1136 2192 2272 4384 4544 8768 9088 9727 17536 19454 38908 77816 121609 155632 243218 311264 486436 622528 972872 1245056 1945744 3891488 7782976 8634239 15565952 16660433 17268478 33320866 34536956 66641732 69073912 133283464 138147824 266566928 276295648 533133856 552591296 1066267712 1105182592 1182890743 2132535424 2365781486 4731562972 9463125944 18926251888 37852503776 75705007552 151410015104