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13044022400040 = 23351038111047097
BaseRepresentation
bin1011110111010000110001…
…0100100101010000101000
31201011222220100102011022020
42331310030110211100220
53202203124213300130
643424201405224440
72514254015002122
oct275641424452050
951158810364266
1013044022400040
114179a36651495
121568028862120
1373807a1a3038
143314968d8212
1517948936ae10
hexbdd0c525428

13044022400040 has 64 divisors (see below), whose sum is σ = 39132481527360. Its totient is φ = 3478369144320.

The previous prime is 13044022399997. The next prime is 13044022400047. The reversal of 13044022400040 is 4000422044031.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (13044022400047) 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 15 ways as a sum of consecutive naturals, for example, 11933772 + ... + 12980868.

It is an arithmetic number, because the mean of its divisors is an integer number (611445023865).

Almost surely, 213044022400040 is an apocalyptic number.

13044022400040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13044022400040 is an abundant number, since it is smaller than the sum of its proper divisors (26088459127320).

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

13044022400040 is a wasteful number, since it uses less digits than its factorization.

13044022400040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150922 (or 1150918 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 13044022400040 its reverse (4000422044031), we get a palindrome (17044444444071).

The spelling of 13044022400040 in words is "thirteen trillion, forty-four billion, twenty-two million, four hundred thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 103811 207622 311433 415244 519055 622866 830488 1038110 1047097 1245732 1557165 2076220 2094194 2491464 3114330 3141291 4152440 4188388 5235485 6228660 6282582 8376776 10470970 12457320 12565164 15706455 20941940 25130328 31412910 41883880 62825820 125651640 108700186667 217400373334 326100560001 434800746668 543500933335 652201120002 869601493336 1087001866670 1304402240004 1630502800005 2174003733340 2608804480008 3261005600010 4348007466680 6522011200020 13044022400040