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13141440124040 = 2353821627113711
BaseRepresentation
bin1011111100111011101011…
…0111101101010010001000
31201112022100120001021211002
42333032322313231102020
53210302132132432130
643541032205154132
72524303064666144
oct277167267552210
951468316037732
1013141440124040
114207287398398
121582a9585b948
13744303a06cc7
14336098a0c224
1517bc8ba26b45
hexbf3baded488

13141440124040 has 64 divisors (see below), whose sum is σ = 29582852382720. Its totient is φ = 5253979104000.

The previous prime is 13141440123983. The next prime is 13141440124061. The reversal of 13141440124040 is 4042104414131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13141440123994 and 13141440124012.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 958452785 + ... + 958466495.

It is an arithmetic number, because the mean of its divisors is an integer number (462232068480).

Almost surely, 213141440124040 is an apocalyptic number.

13141440124040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13141440124040 is an abundant number, since it is smaller than the sum of its proper divisors (16441412258680).

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

13141440124040 is a wasteful number, since it uses less digits than its factorization.

13141440124040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23814 (or 23810 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 13141440124040 its reverse (4042104414131), we get a palindrome (17183544538171).

The spelling of 13141440124040 in words is "thirteen trillion, one hundred forty-one billion, four hundred forty million, one hundred twenty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 3821 6271 7642 12542 13711 15284 19105 25084 27422 30568 31355 38210 50168 54844 62710 68555 76420 109688 125420 137110 152840 250840 274220 548440 23961491 47922982 52389731 85981681 95845964 104779462 119807455 171963362 191691928 209558924 239614910 261948655 343926724 419117848 429908405 479229820 523897310 687853448 859816810 958459640 1047794620 1719633620 2095589240 3439267240 328536003101 657072006202 1314144012404 1642680015505 2628288024808 3285360031010 6570720062020 13141440124040