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231545430135144 = 2335296714014281
BaseRepresentation
bin110100101001011011011111…
…000111001101000101101000
31010100211112020010202221100000
4310221123133013031011220
5220322120020103311034
62140242300243543000
766525414416303136
oct6451333707150550
91110745203687300
10231545430135144
1167860957a30724
1221b7708008aa60
139c27842b887a8
144126c04076756
151bb80647b8599
hexd296df1cd168

231545430135144 has 96 divisors (see below), whose sum is σ = 650350294251840. Its totient is φ = 77179189564800.

The previous prime is 231545430135137. The next prime is 231545430135161. The reversal of 231545430135144 is 441531034545132.

231545430135144 is a `hidden beast` number, since 2 + 3 + 1 + 5 + 4 + 543 + 0 + 13 + 51 + 44 = 666.

It is a super-2 number, since 2×2315454301351442 (a number of 30 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 231545430135144.

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, 55673284 + ... + 59687564.

It is an arithmetic number, because the mean of its divisors is an integer number (6774482231790).

Almost surely, 2231545430135144 is an apocalyptic number.

231545430135144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

231545430135144 is an abundant number, since it is smaller than the sum of its proper divisors (418804864116696).

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

231545430135144 is a wasteful number, since it uses less digits than its factorization.

231545430135144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4043973 (or 4043957 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 231545430135144 in words is "two hundred thirty-one trillion, five hundred forty-five billion, four hundred thirty million, one hundred thirty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1944 29671 59342 89013 118684 178026 237368 267039 356052 534078 712104 801117 1068156 1602234 2136312 2403351 3204468 4014281 4806702 6408936 7210053 8028562 9613404 12042843 14420106 16057124 19226808 24085686 28840212 32114248 36128529 48171372 57680424 72257058 96342744 108385587 144514116 216771174 289028232 325156761 433542348 650313522 867084696 975470283 1300627044 1950940566 2601254088 3901881132 7803762264 119107731551 238215463102 357323194653 476430926204 714646389306 952861852408 1071969583959 1429292778612 2143939167918 2858585557224 3215908751877 4287878335836 6431817503754 8575756671672 9647726255631 12863635007508 19295452511262 25727270015016 28943178766893 38590905022524 57886357533786 77181810045048 115772715067572 231545430135144