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147416148144 = 24321278060813
BaseRepresentation
bin1000100101001010101…
…1111110100010110000
3112002111200111020110200
42021102223332202300
54403402013220034
6151415543355200
713436052404316
oct2112253764260
9462450436420
10147416148144
1157578632aa1
12246a1452b00
1310b94171635
1471c65540b6
153c7bd3da99
hex2252afe8b0

147416148144 has 60 divisors (see below), whose sum is σ = 415809029376. Its totient is φ = 48751790976.

The previous prime is 147416148071. The next prime is 147416148157. The reversal of 147416148144 is 441841614741.

147416148144 is a `hidden beast` number, since 1 + 4 + 7 + 4 + 161 + 481 + 4 + 4 = 666.

It is a super-2 number, since 2×1474161481442 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 147416148144.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4012119 + ... + 4048694.

Almost surely, 2147416148144 is an apocalyptic number.

It is an amenable number.

147416148144 is an abundant number, since it is smaller than the sum of its proper divisors (268392881232).

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

147416148144 is a wasteful number, since it uses less digits than its factorization.

147416148144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8060954 (or 8060945 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The spelling of 147416148144 in words is "one hundred forty-seven billion, four hundred sixteen million, one hundred forty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 127 144 254 381 508 762 1016 1143 1524 2032 2286 3048 4572 6096 9144 18288 8060813 16121626 24182439 32243252 48364878 64486504 72547317 96729756 128973008 145094634 193459512 290189268 386919024 580378536 1023723251 1160757072 2047446502 3071169753 4094893004 6142339506 8189786008 9213509259 12284679012 16379572016 18427018518 24569358024 36854037036 49138716048 73708074072 147416148144