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31314241444240 = 2451399212797493
BaseRepresentation
bin1110001111010111010100…
…01111001101100110010000
311002212121112022211112112001
413013223222033031212100
513101023031302203430
6150333321450243344
76411244044345316
oct707535217154620
9132777468745461
1031314241444240
119a83327a31077
123618ab0126554
131461bc6b80871
147a38900dc0b6
1539484e1263ca
hex1c7aea3cd990

31314241444240 has 40 divisors (see below), whose sum is σ = 72806157717048. Its totient is φ = 12525602580480.

The previous prime is 31314241444181. The next prime is 31314241444247. The reversal of 31314241444240 is 4244414241313.

It can be written as a sum of positive squares in 4 ways, for example, as 1702534355344 + 29611707088896 = 1304812^2 + 5441664^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 31314241444240.

It is not an unprimeable number, because it can be changed into a prime (31314241444247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9794934 + ... + 12592426.

Almost surely, 231314241444240 is an apocalyptic number.

It is an amenable number.

31314241444240 is an abundant number, since it is smaller than the sum of its proper divisors (41491916272808).

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

31314241444240 is a wasteful number, since it uses less digits than its factorization.

31314241444240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2937427 (or 2937421 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 37.

Adding to 31314241444240 its reverse (4244414241313), we get a palindrome (35558655685553).

The spelling of 31314241444240 in words is "thirty-one trillion, three hundred fourteen billion, two hundred forty-one million, four hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 139921 279842 559684 699605 1119368 1399210 2238736 2797493 2798420 5594986 5596840 11189972 11193680 13987465 22379944 27974930 44759888 55949860 111899720 223799440 391428018053 782856036106 1565712072212 1957140090265 3131424144424 3914280180530 6262848288848 7828560361060 15657120722120 31314241444240