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14309398932480 = 21037543113263
BaseRepresentation
bin1101000000111010101010…
…1000111110110000000000
31212122222001121121020000000
43100032222220332300000
53333421122111314410
650233351440000000
73004551150031431
oct320165250766000
955588047536000
1014309398932480
114617644719a83
121731310900000
137ca4a808c562
1437681598d488
1519c3487dadc0
hexd03aaa3ec00

14309398932480 has 1408 divisors, whose sum is σ = 53346310871040. Its totient is φ = 3680070008832.

The previous prime is 14309398932469. The next prime is 14309398932497. The reversal of 14309398932480 is 8423989390341.

14309398932480 is a `hidden beast` number, since 1 + 4 + 30 + 9 + 3 + 98 + 9 + 32 + 480 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 54408360829 + ... + 54408361091.

It is an arithmetic number, because the mean of its divisors is an integer number (37888004880).

Almost surely, 214309398932480 is an apocalyptic number.

14309398932480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14309398932480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26673155435520).

14309398932480 is an abundant number, since it is smaller than the sum of its proper divisors (39036911938560).

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

14309398932480 is an equidigital number, since it uses as much as digits as its factorization.

14309398932480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 14309398932480 in words is "fourteen trillion, three hundred nine billion, three hundred ninety-eight million, nine hundred thirty-two thousand, four hundred eighty".