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312143914953 = 33134017512953
BaseRepresentation
bin1001000101011010011…
…10100010011111001001
31002211200211211211022000
410202231032202133021
520103232320234303
6355221423221213
731360134333243
oct4425516423711
91084624754260
10312143914953
1111041a114352
12505b4447809
1323586a416c0
1411171d03093
1581bd8aada3
hex48ad3a27c9

312143914953 has 64 divisors (see below), whose sum is σ = 500083368960. Its totient is φ = 191289600000.

The previous prime is 312143914939. The next prime is 312143914967. The reversal of 312143914953 is 359419341213.

312143914953 is a `hidden beast` number, since 3 + 1 + 21 + 439 + 149 + 53 = 666.

It is an interprime number because it is at equal distance from previous prime (312143914939) and next prime (312143914967).

It is not a de Polignac number, because 312143914953 - 28 = 312143914697 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312143914899 and 312143914908.

It is not an unprimeable number, because it can be changed into a prime (312143914153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 105702525 + ... + 105705477.

It is an arithmetic number, because the mean of its divisors is an integer number (7813802640).

Almost surely, 2312143914953 is an apocalyptic number.

It is an amenable number.

312143914953 is a deficient number, since it is larger than the sum of its proper divisors (187939454007).

312143914953 is a wasteful number, since it uses less digits than its factorization.

312143914953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4127 (or 4121 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The spelling of 312143914953 in words is "three hundred twelve billion, one hundred forty-three million, nine hundred fourteen thousand, nine hundred fifty-three".

Divisors: 1 3 9 13 27 39 117 351 401 751 1203 2253 2953 3609 5213 6759 8859 9763 10827 15639 20277 26577 29289 38389 46917 79731 87867 115167 140751 263601 301151 345501 903453 1036503 1184153 2217703 2710359 3552459 3914963 6653109 8131077 10657377 11744889 15393989 19959327 28830139 31972131 35234667 46181967 59877981 86490417 105704001 138545901 259471251 415637703 778413753 889298903 2667896709 8003690127 11560885739 24011070381 34682657217 104047971651 312143914953