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31306053744 = 2433721478933
BaseRepresentation
bin11101001001111111…
…000111100001110000
32222210202212022022000
4131021333013201300
51003103322204434
622214245214000
72155536031500
oct351177074160
988722768260
1031306053744
11123054a6599
126098401300
132c4bb3c674
14172daa3a00
15c33612b99
hex749fc7870

31306053744 has 120 divisors (see below), whose sum is σ = 104531055120. Its totient is φ = 8944580736.

The previous prime is 31306053743. The next prime is 31306053749. The reversal of 31306053744 is 44735060313.

31306053744 is a `hidden beast` number, since 3 + 1 + 3 + 0 + 605 + 3 + 7 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 31306053699 and 31306053708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31306053743) 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 23 ways as a sum of consecutive naturals, for example, 718299 + ... + 760634.

It is an arithmetic number, because the mean of its divisors is an integer number (871092126).

Almost surely, 231306053744 is an apocalyptic number.

It is an amenable number.

31306053744 is an abundant number, since it is smaller than the sum of its proper divisors (73225001376).

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

31306053744 is a wasteful number, since it uses less digits than its factorization.

31306053744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478964 (or 1478945 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 31306053744 in words is "thirty-one billion, three hundred six million, fifty-three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 84 98 108 112 126 144 147 168 189 196 216 252 294 336 378 392 432 441 504 588 756 784 882 1008 1176 1323 1512 1764 2352 2646 3024 3528 5292 7056 10584 21168 1478933 2957866 4436799 5915732 8873598 10352531 11831464 13310397 17747196 20705062 23662928 26620794 31057593 35494392 39931191 41410124 53241588 62115186 70988784 72467717 79862382 82820248 93172779 106483176 124230372 144935434 159724764 165640496 186345558 212966352 217403151 248460744 279518337 289870868 319449528 372691116 434806302 496921488 559036674 579741736 638899056 652209453 745382232 869612604 1118073348 1159483472 1304418906 1490764464 1739225208 1956628359 2236146696 2608837812 3478450416 3913256718 4472293392 5217675624 7826513436 10435351248 15653026872 31306053744