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31014451222440 = 23357181208997649
BaseRepresentation
bin1110000110101000111010…
…10110010001011110101000
311001210221201102122100100220
413003110131112101132220
513031120044003104230
6145543501525330040
76350502004454130
oct703243526213650
9131727642570326
1031014451222440
119978178196294
12358a984b66920
13143c85b650b8a
14793170ba5ac0
1538bb550a3d10
hex1c351d5917a8

31014451222440 has 256 divisors, whose sum is σ = 106975028160000. Its totient is φ = 7046404669440.

The previous prime is 31014451222387. The next prime is 31014451222499. The reversal of 31014451222440 is 4422215441013.

It is a super-2 number, since 2×310144512224402 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 317562736 + ... + 317660384.

It is an arithmetic number, because the mean of its divisors is an integer number (417871203750).

Almost surely, 231014451222440 is an apocalyptic number.

31014451222440 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 31014451222440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53487514080000).

31014451222440 is an abundant number, since it is smaller than the sum of its proper divisors (75960576937560).

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

31014451222440 is a wasteful number, since it uses less digits than its factorization.

31014451222440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99940 (or 99936 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

Adding to 31014451222440 its reverse (4422215441013), we get a palindrome (35436666663453).

The spelling of 31014451222440 in words is "thirty-one trillion, fourteen billion, four hundred fifty-one million, two hundred twenty-two thousand, four hundred forty".