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1141623550080 = 273251349131051
BaseRepresentation
bin10000100111001110000…
…100001111000010000000
311001010201201010012020200
4100213032010033002000
5122201021112100310
62232242110405200
7145323332031336
oct20471604170200
94033651105220
101141623550080
11400183806262
12165307500800
138386831a850
143d37d539b56
151ea69c899c0
hex109ce10f080

1141623550080 has 384 divisors, whose sum is σ = 4254196040640. Its totient is φ = 280433664000.

The previous prime is 1141623550073. The next prime is 1141623550087. The reversal of 1141623550080 is 800553261411.

1141623550080 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 6 + 23 + 550 + 0 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (1141623550073) and next prime (1141623550087).

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 (36).

It is not an unprimeable number, because it can be changed into a prime (1141623550087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36750555 + ... + 36781605.

Almost surely, 21141623550080 is an apocalyptic number.

1141623550080 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 1141623550080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2127098020320).

1141623550080 is an abundant number, since it is smaller than the sum of its proper divisors (3112572490560).

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

1141623550080 is a wasteful number, since it uses less digits than its factorization.

1141623550080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31580 (or 31565 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 1141623550080 in words is "one trillion, one hundred forty-one billion, six hundred twenty-three million, five hundred fifty thousand, eighty".