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14914545408000 = 2113253723311297
BaseRepresentation
bin1101100100001001000000…
…1011100101100000000000
31221210211001022110022200200
43121002100023211200000
53423324442111024000
651415351513045200
73066353224144320
oct331022013454000
957724038408620
1014914545408000
114830250074827
12180a6570b6800
13842588012244
14397c21543280
151ace65395500
hexd90902e5800

14914545408000 has 2304 divisors, whose sum is σ = 66228932689920. Its totient is φ = 3153199104000.

The previous prime is 14914545407917. The next prime is 14914545408019. The reversal of 14914545408000 is 80454541941.

14914545408000 is a `hidden beast` number, since 1 + 49 + 14 + 54 + 540 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11499263352 + ... + 11499264648.

It is an arithmetic number, because the mean of its divisors is an integer number (28745196480).

Almost surely, 214914545408000 is an apocalyptic number.

14914545408000 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 14914545408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33114466344960).

14914545408000 is an abundant number, since it is smaller than the sum of its proper divisors (51314387281920).

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

14914545408000 is a wasteful number, since it uses less digits than its factorization.

14914545408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1401 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

Adding to 14914545408000 its reverse (80454541941), we get a palindrome (14994999949941).

The spelling of 14914545408000 in words is "fourteen trillion, nine hundred fourteen billion, five hundred forty-five million, four hundred eight thousand".