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14391355539456 = 2153372778389
BaseRepresentation
bin1101000101101011111110…
…1000101000000000000000
31212221210121022102020012000
43101122333220220000000
53341241444004230311
650335144130304000
73013512130505520
oct321327750500000
955853538366160
1014391355539456
114649381024915
121745183a28000
1380513968767c
1437a78c529680
1519e54394a056
hexd16bfa28000

14391355539456 has 512 divisors, whose sum is σ = 48913646304000. Its totient is φ = 4096483393536.

The previous prime is 14391355539401. The next prime is 14391355539527. The reversal of 14391355539456 is 65493555319341.

14391355539456 is a `hidden beast` number, since 1 + 4 + 3 + 9 + 1 + 3 + 55 + 539 + 45 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

It is a super-2 number, since 2×143913555394562 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 14391355539393 and 14391355539402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1715498910 + ... + 1715507298.

Almost surely, 214391355539456 is an apocalyptic number.

14391355539456 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 14391355539456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24456823152000).

14391355539456 is an abundant number, since it is smaller than the sum of its proper divisors (34522290764544).

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

14391355539456 is an frugal number, since it uses more digits than its factorization.

14391355539456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8712 (or 8678 counting only the distinct ones).

The product of its digits is 131220000, while the sum is 63.

The spelling of 14391355539456 in words is "fourteen trillion, three hundred ninety-one billion, three hundred fifty-five million, five hundred thirty-nine thousand, four hundred fifty-six".