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13325442413040 = 2432518507558907
BaseRepresentation
bin1100000111101001001001…
…0000101111000111110000
31202011220021222211001102200
43001322102100233013300
53221311001224204130
644201342420543200
72543505612435252
oct301722220570760
952156258731380
1013325442413040
11427831993752a
1215b2687851b00
13758778891aa4
14340d52195cd2
1518195a7a8760
hexc1e9242f1f0

13325442413040 has 60 divisors (see below), whose sum is σ = 44751277439544. Its totient is φ = 3553451309952.

The previous prime is 13325442412993. The next prime is 13325442413141. The reversal of 13325442413040 is 4031424452331.

13325442413040 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 544 + 2 + 41 + 30 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13325442412986 and 13325442413004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9253778734 + ... + 9253780173.

Almost surely, 213325442413040 is an apocalyptic number.

13325442413040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13325442413040 is an abundant number, since it is smaller than the sum of its proper divisors (31425835026504).

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

13325442413040 is a wasteful number, since it uses less digits than its factorization.

13325442413040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18507558926 (or 18507558917 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 13325442413040 its reverse (4031424452331), we get a palindrome (17356866865371).

The spelling of 13325442413040 in words is "thirteen trillion, three hundred twenty-five billion, four hundred forty-two million, four hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 18507558907 37015117814 55522676721 74030235628 92537794535 111045353442 148060471256 166568030163 185075589070 222090706884 277613383605 296120942512 333136060326 370151178140 444181413768 555226767210 666272120652 740302356280 832840150815 888362827536 1110453534420 1332544241304 1480604712560 1665680301630 2220907068840 2665088482608 3331360603260 4441814137680 6662721206520 13325442413040