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14372983213056 = 21032131731233977
BaseRepresentation
bin1101000100100111100010…
…0011110000110000000000
31212220001011220122100100200
43101021320203300300000
53340441332200304211
650322505103445200
73012261631350636
oct321117043606000
955801156570320
1014372983213056
114641603359096
1217416b6bb6800
1380349c284910
1437992849d356
1519dd1aa47b56
hexd12788f0c00

14372983213056 has 1056 divisors, whose sum is σ = 49109603332608. Its totient is φ = 4006650839040.

The previous prime is 14372983212967. The next prime is 14372983213079. The reversal of 14372983213056 is 65031238927341.

14372983213056 is a `hidden beast` number, since 1 + 4 + 3 + 7 + 2 + 9 + 8 + 321 + 305 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 14372983212993 and 14372983213011.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14711343640 + ... + 14711344616.

It is a 1-persistent number, because it is pandigital, but 2⋅14372983213056 = 28745966426112 is not.

Almost surely, 214372983213056 is an apocalyptic number.

14372983213056 is a gapful number since it is divisible by the number (16) 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 14372983213056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24554801666304).

14372983213056 is an abundant number, since it is smaller than the sum of its proper divisors (34736620119552).

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

14372983213056 is a wasteful number, since it uses less digits than its factorization.

14372983213056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1297 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 14372983213056 in words is "fourteen trillion, three hundred seventy-two billion, nine hundred eighty-three million, two hundred thirteen thousand, fifty-six".