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1120055143680 = 283451121937127
BaseRepresentation
bin10000010011001000011…
…111010010110100000000
310222002001120100121220000
4100103020133102310000
5121322333104044210
62214313552520000
7143631003431124
oct20231037226400
93862046317800
101120055143680
113a2015a24300
121610a8250000
138180ba1c5b5
143c2d4c25584
151e2064b0ac0
hex104c87d2d00

1120055143680 has 2160 divisors, whose sum is σ = 4799905904640. Its totient is φ = 248314429440.

The previous prime is 1120055143673. The next prime is 1120055143703. The reversal of 1120055143680 is 863415500211.

1120055143680 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 0 + 551 + 43 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 8819331777 + ... + 8819331903.

Almost surely, 21120055143680 is an apocalyptic number.

1120055143680 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 1120055143680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2399952952320).

1120055143680 is an abundant number, since it is smaller than the sum of its proper divisors (3679850760960).

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

1120055143680 is a wasteful number, since it uses less digits than its factorization.

1120055143680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 204 counting only the distinct ones).

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

The spelling of 1120055143680 in words is "one trillion, one hundred twenty billion, fifty-five million, one hundred forty-three thousand, six hundred eighty".