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31361441326120 = 2355333434425107
BaseRepresentation
bin1110010000101111001111…
…00100011110010000101000
311010001010100202201222012101
413020113213210132100220
513102311212434413440
6150411125223423144
76414534515621353
oct710274744362050
9133033322658171
1031361441326120
119aa1349045a14
1236260832b4ab4
1314664a9781659
147a5c8a9b729a
15395bb2c5b69a
hex1c85e791e428

31361441326120 has 64 divisors (see below), whose sum is σ = 71916147198720. Its totient is φ = 12304201937664.

The previous prime is 31361441326087. The next prime is 31361441326147. The reversal of 31361441326120 is 2162314416313.

It is a self number, because there is not a number n which added to its sum of digits gives 31361441326120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4874607 + ... + 9299713.

It is an arithmetic number, because the mean of its divisors is an integer number (1123689799980).

Almost surely, 231361441326120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31361441326120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35958073599360).

31361441326120 is an abundant number, since it is smaller than the sum of its proper divisors (40554705872600).

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

31361441326120 is a wasteful number, since it uses less digits than its factorization.

31361441326120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4428514 (or 4428510 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The spelling of 31361441326120 in words is "thirty-one trillion, three hundred sixty-one billion, four hundred forty-one million, three hundred twenty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 1060 2120 3343 6686 13372 16715 26744 33430 66860 133720 177179 354358 708716 885895 1417432 1771790 3543580 4425107 7087160 8850214 17700428 22125535 35400856 44251070 88502140 177004280 234530671 469061342 938122684 1172653355 1876245368 2345306710 4690613420 9381226840 14793132701 29586265402 59172530804 73965663505 118345061608 147931327010 295862654020 591725308040 784036033153 1568072066306 3136144132612 3920180165765 6272288265224 7840360331530 15680720663060 31361441326120