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13331311211440 = 245712347061833
BaseRepresentation
bin1100000111111111000000…
…0100011011001110110000
31202012110102222222220100101
43001333300010123032300
53221410011132231230
644204153025402144
72544104214416545
oct301776004331660
952173388886311
1013331311211440
11427a8606a5642
1215b3845199354
137591a2711171
1434134b7b0bcc
15181ba0b26aca
hexc1ff011b3b0

13331311211440 has 40 divisors (see below), whose sum is σ = 31431852080928. Its totient is φ = 5257418503680.

The previous prime is 13331311211437. The next prime is 13331311211441. The reversal of 13331311211440 is 4411211313331.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 13331311211399 and 13331311211408.

It is not an unprimeable number, because it can be changed into a prime (13331311211441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1173525237 + ... + 1173536596.

Almost surely, 213331311211440 is an apocalyptic number.

13331311211440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13331311211440 is an abundant number, since it is smaller than the sum of its proper divisors (18100540869488).

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

13331311211440 is a wasteful number, since it uses less digits than its factorization.

13331311211440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2347061917 (or 2347061911 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

Adding to 13331311211440 its reverse (4411211313331), we get a palindrome (17742522524771).

The spelling of 13331311211440 in words is "thirteen trillion, three hundred thirty-one billion, three hundred eleven million, two hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 71 80 142 284 355 568 710 1136 1420 2840 5680 2347061833 4694123666 9388247332 11735309165 18776494664 23470618330 37552989328 46941236660 93882473320 166641390143 187764946640 333282780286 666565560572 833206950715 1333131121144 1666413901430 2666262242288 3332827802860 6665655605720 13331311211440