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148076801424 = 243283910631153
BaseRepresentation
bin1000100111101000010…
…0001010110110010000
3112011012201121220101200
42021322010022312100
54411230130121144
6152005303431200
713461324021216
oct2117204126620
9464181556350
10148076801424
1157887548642
1224846755500
1310c6acb5636
14724a1a8cb6
153cb9d3cc69
hex227a10ad90

148076801424 has 120 divisors (see below), whose sum is σ = 415653813120. Its totient is φ = 49211006976.

The previous prime is 148076801407. The next prime is 148076801443. The reversal of 148076801424 is 424108670841.

148076801424 is a `hidden beast` number, since 1 + 4 + 80 + 76 + 80 + 1 + 424 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 148076801424.

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, 128426832 + ... + 128427984.

It is an arithmetic number, because the mean of its divisors is an integer number (3463781776).

Almost surely, 2148076801424 is an apocalyptic number.

It is an amenable number.

148076801424 is an abundant number, since it is smaller than the sum of its proper divisors (267577011696).

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

148076801424 is a wasteful number, since it uses less digits than its factorization.

148076801424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3069 (or 3060 counting only the distinct ones).

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

The spelling of 148076801424 in words is "one hundred forty-eight billion, seventy-six million, eight hundred one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 839 1063 1153 1678 2126 2306 2517 3189 3356 3459 4252 4612 5034 6378 6712 6918 7551 8504 9224 9567 10068 10377 12756 13424 13836 15102 17008 18448 19134 20136 20754 25512 27672 30204 38268 40272 41508 51024 55344 60408 76536 83016 120816 153072 166032 891857 967367 1225639 1783714 1934734 2451278 2675571 2902101 3567428 3676917 3869468 4902556 5351142 5804202 7134856 7353834 7738936 8026713 8706303 9805112 10702284 11030751 11608404 14269712 14707668 15477872 16053426 17412606 19610224 21404568 22061502 23216808 29415336 32106852 34825212 42809136 44123004 46433616 58830672 64213704 69650424 88246008 128427408 139300848 176492016 1028311121 2056622242 3084933363 4113244484 6169866726 8226488968 9254800089 12339733452 16452977936 18509600178 24679466904 37019200356 49358933808 74038400712 148076801424