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1334666557440 = 21133537130469
BaseRepresentation
bin10011011011000000010…
…100110111100000000000
311201121000012121000222000
4103123000110313200000
5133331344114314230
62501045400144000
7165266165361066
oct23330024674000
94647005530860
101334666557440
11475035527967
12196801168000
1398b21211418
1448853698036
1524ab758cb60
hex136c0537800

1334666557440 has 384 divisors, whose sum is σ = 4872584808000. Its totient is φ = 346289209344.

The previous prime is 1334666557423. The next prime is 1334666557451. The reversal of 1334666557440 is 447556664331.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10164526 + ... + 10294994.

Almost surely, 21334666557440 is an apocalyptic number.

1334666557440 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 1334666557440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2436292404000).

1334666557440 is an abundant number, since it is smaller than the sum of its proper divisors (3537918250560).

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

1334666557440 is a wasteful number, since it uses less digits than its factorization.

1334666557440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130542 (or 130516 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 54.

The spelling of 1334666557440 in words is "one trillion, three hundred thirty-four billion, six hundred sixty-six million, five hundred fifty-seven thousand, four hundred forty".