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13331043442040 = 235718443555967
BaseRepresentation
bin1100000111111110000000…
…0110111101110101111000
31202012102202100010210210012
43001333200012331311320
53221403434110121130
644204110302241052
72544064453416002
oct301774006756570
952172670123705
1013331043442040
11427a733535515
1215b378b586188
1375915c0b972c
14341323dcb372
15181b87382995
hexc1fe01bdd78

13331043442040 has 64 divisors (see below), whose sum is σ = 30420967772160. Its totient is φ = 5256680768640.

The previous prime is 13331043442027. The next prime is 13331043442043. The reversal of 13331043442040 is 4024434013331.

It is a junction number, because it is equal to n+sod(n) for n = 13331043441988 and 13331043442006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13331043442043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23700137 + ... + 24256103.

It is an arithmetic number, because the mean of its divisors is an integer number (475327621440).

Almost surely, 213331043442040 is an apocalyptic number.

13331043442040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13331043442040 is an abundant number, since it is smaller than the sum of its proper divisors (17089924330120).

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

13331043442040 is a wasteful number, since it uses less digits than its factorization.

13331043442040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564492 (or 564488 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 13331043442040 its reverse (4024434013331), we get a palindrome (17355477455371).

The spelling of 13331043442040 in words is "thirteen trillion, three hundred thirty-one billion, forty-three million, four hundred forty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 71 142 284 355 568 710 1420 2840 8443 16886 33772 42215 67544 84430 168860 337720 555967 599453 1111934 1198906 2223868 2397812 2779835 2997265 4447736 4795624 5559670 5994530 11119340 11989060 22238680 23978120 39473657 78947314 157894628 197368285 315789256 394736570 789473140 1578946280 4694029381 9388058762 18776117524 23470146905 37552235048 46940293810 93880587620 187761175240 333276086051 666552172102 1333104344204 1666380430255 2666208688408 3332760860510 6665521721020 13331043442040