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31856245440 = 2635107310127
BaseRepresentation
bin11101101010110001…
…111011101011000000
310001020010010221102020
4131222301323223000
51010220144323230
622345021521440
72205266422065
oct355261735300
9101203127366
1031856245440
1112568024778
126210713280
133008b19196
141782ba2c6c
15c66a92810
hex76ac7bac0

31856245440 has 112 divisors (see below), whose sum is σ = 102089175552. Its totient is φ = 8415579136.

The previous prime is 31856245403. The next prime is 31856245457. The reversal of 31856245440 is 4454265813.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 31856245392 and 31856245401.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 52344 + ... + 257783.

It is an arithmetic number, because the mean of its divisors is an integer number (911510496).

Almost surely, 231856245440 is an apocalyptic number.

31856245440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31856245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51044587776).

31856245440 is an abundant number, since it is smaller than the sum of its proper divisors (70232930112).

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

31856245440 is a wasteful number, since it uses less digits than its factorization.

31856245440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310254 (or 310244 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 31856245440 in words is "thirty-one billion, eight hundred fifty-six million, two hundred forty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 107 120 160 192 214 240 320 321 428 480 535 642 856 960 1070 1284 1605 1712 2140 2568 3210 3424 4280 5136 6420 6848 8560 10272 12840 17120 20544 25680 34240 51360 102720 310127 620254 930381 1240508 1550635 1860762 2481016 3101270 3721524 4651905 4962032 6202540 7443048 9303810 9924064 12405080 14886096 18607620 19848128 24810160 29772192 33183589 37215240 49620320 59544384 66367178 74430480 99240640 99550767 132734356 148860960 165917945 199101534 265468712 297721920 331835890 398203068 497753835 530937424 663671780 796406136 995507670 1061874848 1327343560 1592812272 1991015340 2123749696 2654687120 3185624544 3982030680 5309374240 6371249088 7964061360 10618748480 15928122720 31856245440