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31444414340 = 2259716208461
BaseRepresentation
bin11101010010001110…
…111010111110000100
310000011102012202100112
4131102032322332010
51003344232224330
622240110532152
72162136053243
oct352216727604
9100142182315
1031444414340
1112376608999
126116807058
132c716c4741
1417441dc95a
15c40843795
hex7523baf84

31444414340 has 24 divisors (see below), whose sum is σ = 66714029592. Its totient is φ = 12448097280.

The previous prime is 31444414303. The next prime is 31444414343. The reversal of 31444414340 is 4341444413.

It can be written as a sum of positive squares in 4 ways, for example, as 7817035396 + 23627378944 = 88414^2 + 153712^2 .

It is a junction number, because it is equal to n+sod(n) for n = 31444414297 and 31444414306.

It is not an unprimeable number, because it can be changed into a prime (31444414343) 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 7 ways as a sum of consecutive naturals, for example, 8102291 + ... + 8106170.

It is an arithmetic number, because the mean of its divisors is an integer number (2779751233).

Almost surely, 231444414340 is an apocalyptic number.

It is an amenable number.

31444414340 is an abundant number, since it is smaller than the sum of its proper divisors (35269615252).

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

31444414340 is a wasteful number, since it uses less digits than its factorization.

31444414340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16208567 (or 16208565 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 31444414340 its reverse (4341444413), we get a palindrome (35785858753).

The spelling of 31444414340 in words is "thirty-one billion, four hundred forty-four million, four hundred fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 97 194 388 485 970 1940 16208461 32416922 64833844 81042305 162084610 324169220 1572220717 3144441434 6288882868 7861103585 15722207170 31444414340