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1310432140032 = 2837921598631
BaseRepresentation
bin10011000100011011110…
…101111001101100000000
311122021110021021002000220
4103010123311321230000
5132432231111440112
62442000524343040
7163450505255661
oct23043365715400
94567407232026
101310432140032
11465829864424
12191b790a4a80
139675b49a272
14475d4c7b368
1524149be498c
hex1311bd79b00

1310432140032 has 72 divisors (see below), whose sum is σ = 3531808304640. Its totient is φ = 431281443840.

The previous prime is 1310432139997. The next prime is 1310432140037. The reversal of 1310432140032 is 2300412340131.

It is a happy number.

It is a super-2 number, since 2×13104321400322 (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1310432139984 and 1310432140011.

It is not an unprimeable number, because it can be changed into a prime (1310432140037) 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, 10738644 + ... + 10859987.

It is an arithmetic number, because the mean of its divisors is an integer number (49052893120).

Almost surely, 21310432140032 is an apocalyptic number.

1310432140032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1310432140032 is an abundant number, since it is smaller than the sum of its proper divisors (2221376164608).

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

1310432140032 is an equidigital number, since it uses as much as digits as its factorization.

1310432140032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21598729 (or 21598715 counting only the distinct ones).

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

Adding to 1310432140032 its reverse (2300412340131), we get a palindrome (3610844480163).

The spelling of 1310432140032 in words is "one trillion, three hundred ten billion, four hundred thirty-two million, one hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 158 192 237 256 316 384 474 632 768 948 1264 1896 2528 3792 5056 7584 10112 15168 20224 30336 60672 21598631 43197262 64795893 86394524 129591786 172789048 259183572 345578096 518367144 691156192 1036734288 1382312384 1706291849 2073468576 2764624768 3412583698 4146937152 5118875547 5529249536 6825167396 8293874304 10237751094 13650334792 16587748608 20475502188 27300669584 40951004376 54601339168 81902008752 109202678336 163804017504 218405356672 327608035008 436810713344 655216070016 1310432140032