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1312231030440 = 23351131101383829
BaseRepresentation
bin10011000110000111000…
…100000111111010101000
311122110002122012011202120
4103012013010013322220
5132444422120433230
62442455225031240
7163543210502301
oct23060704077250
94573078164676
101312231030440
11466572230410
1219239b625520
139698708c265
1447725b457a8
1524202ace310
hex13187107ea8

1312231030440 has 512 divisors, whose sum is σ = 4494104985600. Its totient is φ = 303644160000.

The previous prime is 1312231030423. The next prime is 1312231030459. The reversal of 1312231030440 is 440301322131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1312231030440.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1582907946 + ... + 1582908774.

It is an arithmetic number, because the mean of its divisors is an integer number (8777548800).

Almost surely, 21312231030440 is an apocalyptic number.

1312231030440 is a gapful number since it is divisible by the number (10) 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 1312231030440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2247052492800).

1312231030440 is an abundant number, since it is smaller than the sum of its proper divisors (3181873955160).

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

1312231030440 is a wasteful number, since it uses less digits than its factorization.

1312231030440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1369 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1312231030440 its reverse (440301322131), we get a palindrome (1752532352571).

The spelling of 1312231030440 in words is "one trillion, three hundred twelve billion, two hundred thirty-one million, thirty thousand, four hundred forty".