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151415541120 = 273597813013
BaseRepresentation
bin1000110100000100010…
…0011100110110000000
3112110211102001110020110
42031001010130312000
54440044334303440
6153320452311320
713640134602204
oct2150104346600
9473742043213
10151415541120
1159240142148
1225418912540
131138090c95c
14748578ab04
153e12ee4080
hex234111cd80

151415541120 has 128 divisors (see below), whose sum is σ = 487613276640. Its totient is φ = 39961165824.

The previous prime is 151415541049. The next prime is 151415541127. The reversal of 151415541120 is 21145514151.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151415541127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220267 + ... + 592746.

Almost surely, 2151415541120 is an apocalyptic number.

151415541120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151415541120 is an abundant number, since it is smaller than the sum of its proper divisors (336197735520).

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

151415541120 is an equidigital number, since it uses as much as digits as its factorization.

151415541120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813132 (or 813120 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 30.

The spelling of 151415541120 in words is "one hundred fifty-one billion, four hundred fifteen million, five hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 97 120 128 160 192 194 240 291 320 384 388 480 485 582 640 776 960 970 1164 1455 1552 1920 1940 2328 2910 3104 3880 4656 5820 6208 7760 9312 11640 12416 15520 18624 23280 31040 37248 46560 62080 93120 186240 813013 1626026 2439039 3252052 4065065 4878078 6504104 8130130 9756156 12195195 13008208 16260260 19512312 24390390 26016416 32520520 39024624 48780780 52032832 65041040 78049248 78862261 97561560 104065664 130082080 156098496 157724522 195123120 236586783 260164160 312196992 315449044 390246240 394311305 473173566 520328320 630898088 780492480 788622610 946347132 1182933915 1261796176 1560984960 1577245220 1892694264 2365867830 2523592352 3154490440 3785388528 4731735660 5047184704 6308980880 7570777056 9463471320 10094369408 12617961760 15141554112 18926942640 25235923520 30283108224 37853885280 50471847040 75707770560 151415541120