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13121815179440 = 2451153281342521
BaseRepresentation
bin1011111011110010100100…
…1000011111000010110000
31201110102200212020210212002
42332330221020133002300
53204441434141220230
643524024554353132
72523006545502212
oct276745110370260
951412625223762
1013121815179440
1141a9a26647010
12157b11942b7a8
137424c6c48a56
143351564765b2
1517b4ddb93545
hexbef2921f0b0

13121815179440 has 80 divisors (see below), whose sum is σ = 33909651491616. Its totient is φ = 4681539532800.

The previous prime is 13121815179409. The next prime is 13121815179449. The reversal of 13121815179440 is 4497151812131.

13121815179440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (13121815179449) 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, 140624621 + ... + 140717900.

Almost surely, 213121815179440 is an apocalyptic number.

13121815179440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13121815179440 is an abundant number, since it is smaller than the sum of its proper divisors (20787836312176).

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

13121815179440 is a wasteful number, since it uses less digits than its factorization.

13121815179440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281342598 (or 281342592 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 47.

The spelling of 13121815179440 in words is "thirteen trillion, one hundred twenty-one billion, eight hundred fifteen million, one hundred seventy-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 53 55 80 88 106 110 176 212 220 265 424 440 530 583 848 880 1060 1166 2120 2332 2915 4240 4664 5830 9328 11660 23320 46640 281342521 562685042 1125370084 1406712605 2250740168 2813425210 3094767731 4501480336 5626850420 6189535462 11253700840 12379070924 14911153613 15473838655 22507401680 24758141848 29822307226 30947677310 49516283696 59644614452 61895354620 74555768065 119289228904 123790709240 149111536130 164022689743 238578457808 247581418480 298223072260 328045379486 596446144520 656090758972 820113448715 1192892289040 1312181517944 1640226897430 2624363035888 3280453794860 6560907589720 13121815179440