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31344013334431 = 726137692782291
BaseRepresentation
bin1110010000001110110001…
…10001111101011110011111
311002222110101011220021001201
413020013120301331132133
513102020014403200211
6150355124013220331
76413346604263100
oct710073061753637
9132873334807051
1031344013334431
119a94a154328a6
12362281a7916a7
13146495cbc8b35
147a50b61283a7
153954e2be20c1
hex1c81d8c7d79f

31344013334431 has 24 divisors (see below), whose sum is σ = 37068977128560. Its totient is φ = 26418845174400.

The previous prime is 31344013334383. The next prime is 31344013334443. The reversal of 31344013334431 is 13443331044313.

It is not a de Polignac number, because 31344013334431 - 237 = 31206574380959 is a prime.

It is a super-2 number, since 2×313440133344312 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31344013334831) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9874396 + ... + 12656686.

It is an arithmetic number, because the mean of its divisors is an integer number (1544540713690).

Almost surely, 231344013334431 is an apocalyptic number.

31344013334431 is a deficient number, since it is larger than the sum of its proper divisors (5724963794129).

31344013334431 is a wasteful number, since it uses less digits than its factorization.

31344013334431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2786135 (or 2786128 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 37.

Adding to 31344013334431 its reverse (13443331044313), we get a palindrome (44787344378744).

The spelling of 31344013334431 in words is "thirty-one trillion, three hundred forty-four billion, thirteen million, three hundred thirty-four thousand, four hundred thirty-one".

Divisors: 1 7 49 61 427 2989 3769 26383 184681 229909 1609363 2782291 11265541 19476037 136332259 169719751 1188038257 8316267799 10486454779 73405183453 513836284171 639673741519 4477716190633 31344013334431