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31142134413 = 3213734997307
BaseRepresentation
bin11101000000001101…
…110100001010001101
32222101100102100020200
4131000031310022031
51002234341300123
622150112004113
72151505526535
oct350015641215
988340370220
1031142134413
1112230a17575
126051530639
132c23ba8c90
141715dd44c5
15c24034143
hex74037428d

31142134413 has 48 divisors (see below), whose sum is σ = 49212072000. Its totient is φ = 18861403392.

The previous prime is 31142134391. The next prime is 31142134423. The reversal of 31142134413 is 31443124113.

31142134413 is a `hidden beast` number, since 3 + 1 + 1 + 4 + 213 + 441 + 3 = 666.

It is not a de Polignac number, because 31142134413 - 220 = 31141085837 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31142134423) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4258306 + ... + 4265612.

It is an arithmetic number, because the mean of its divisors is an integer number (1025251500).

Almost surely, 231142134413 is an apocalyptic number.

It is an amenable number.

31142134413 is a deficient number, since it is larger than the sum of its proper divisors (18069937587).

31142134413 is a wasteful number, since it uses less digits than its factorization.

31142134413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7898 (or 7895 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 31142134413 its reverse (31443124113), we get a palindrome (62585258526).

The spelling of 31142134413 in words is "thirty-one billion, one hundred forty-two million, one hundred thirty-four thousand, four hundred thirteen".

Divisors: 1 3 9 13 39 73 117 219 499 657 949 1497 2847 4491 6487 7307 8541 19461 21921 36427 58383 65763 94991 109281 284973 327843 473551 533411 854919 1420653 1600233 3646193 4261959 4800699 6934343 10938579 20803029 32815737 47400509 62409087 142201527 266172089 426604581 798516267 2395548801 3460237157 10380711471 31142134413