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158148093143040 = 21135721121366791
BaseRepresentation
bin100011111101010110111000…
…111010011110100000000000
3202201221210212112020100011120
4203331112320322132200000
5131212044243321034130
61320204121522112240
745211552114545300
oct4375267072364000
9681853775210146
10158148093143040
1146433258737800
12158a21b04ab680
136a323bb9478a0
142b0a5a10b9600
151343bdc85e910
hex8fd5b8e9e800

158148093143040 has 1728 divisors, whose sum is σ = 696697301139840. Its totient is φ = 30333645619200.

The previous prime is 158148093143011. The next prime is 158148093143057. The reversal of 158148093143040 is 40341390841851.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2367772045 + ... + 2367838835.

It is an arithmetic number, because the mean of its divisors is an integer number (403181308530).

Almost surely, 2158148093143040 is an apocalyptic number.

158148093143040 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 158148093143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348348650569920).

158148093143040 is an abundant number, since it is smaller than the sum of its proper divisors (538549207996800).

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

158148093143040 is a wasteful number, since it uses less digits than its factorization.

158148093143040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66870 (or 66832 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The spelling of 158148093143040 in words is "one hundred fifty-eight trillion, one hundred forty-eight billion, ninety-three million, one hundred forty-three thousand, forty".