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313786043136 = 2832294696271
BaseRepresentation
bin1001001000011110001…
…10110000101100000000
31002222221021210120200100
410210033012300230000
520120113211340021
6400052403522400
731445624234046
oct4441706605400
91088837716610
10313786043136
1111109204a585
1250992389400
1323789007897
141128a042396
158267b2c626
hex490f1b0b00

313786043136 has 108 divisors (see below), whose sum is σ = 935920046880. Its totient is φ = 100988590080.

The previous prime is 313786043089. The next prime is 313786043147. The reversal of 313786043136 is 631340687313.

It is a happy number.

313786043136 is a `hidden beast` number, since 3 + 1 + 3 + 7 + 8 + 604 + 3 + 1 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 313786043091 and 313786043100.

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, 2281320 + ... + 2414951.

It is an arithmetic number, because the mean of its divisors is an integer number (8665926360).

Almost surely, 2313786043136 is an apocalyptic number.

313786043136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

313786043136 is an abundant number, since it is smaller than the sum of its proper divisors (622134003744).

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

313786043136 is a wasteful number, since it uses less digits than its factorization.

313786043136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4696322 (or 4696305 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 313786043136 in words is "three hundred thirteen billion, seven hundred eighty-six million, forty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 256 261 288 348 384 464 522 576 696 768 928 1044 1152 1392 1856 2088 2304 2784 3712 4176 5568 7424 8352 11136 16704 22272 33408 66816 4696271 9392542 14088813 18785084 28177626 37570168 42266439 56355252 75140336 84532878 112710504 136191859 150280672 169065756 225421008 272383718 300561344 338131512 408575577 450842016 544767436 601122688 676263024 817151154 901684032 1089534872 1202245376 1225726731 1352526048 1634302308 1803368064 2179069744 2451453462 2705052096 3268604616 3606736128 4358139488 4902906924 5410104192 6537209232 8716278976 9805813848 10820208384 13074418464 17432557952 19611627696 26148836928 34865115904 39223255392 52297673856 78446510784 104595347712 156893021568 313786043136