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2145245143104 = 263273767141241
BaseRepresentation
bin11111001101111010100…
…100110010000001000000
321121002020211012121101200
4133031322210302001000
5240121430224034404
64321302332301200
7310663113564540
oct37157244620100
97532224177350
102145245143104
1175787aa58638
122a791a311800
131273ac9b6a2b
1475b8a953320
153ac0942a839
hex1f37a932040

2145245143104 has 168 divisors, whose sum is σ = 7029295698048. Its totient is φ = 612760135680.

The previous prime is 2145245143087. The next prime is 2145245143117. The reversal of 2145245143104 is 4013415425412.

2145245143104 is a `hidden beast` number, since 2 + 14 + 5 + 24 + 514 + 3 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×21452451431042 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15117924 + ... + 15259164.

Almost surely, 22145245143104 is an apocalyptic number.

2145245143104 is a gapful number since it is divisible by the number (24) 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 2145245143104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3514647849024).

2145245143104 is an abundant number, since it is smaller than the sum of its proper divisors (4884050554944).

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

2145245143104 is a wasteful number, since it uses less digits than its factorization.

2145245143104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145033 (or 145020 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 2145245143104 in words is "two trillion, one hundred forty-five billion, two hundred forty-five million, one hundred forty-three thousand, one hundred four".