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141422540824152 = 2333717127132732647
BaseRepresentation
bin100000001001111110000000…
…010011110001111001011000
3200112201212022000202211211000
4200021332000103301321120
5122014031330422333102
61220440341321505000
741534304253551450
oct4011760023617130
9615655260684730
10141422540824152
1141074a65465325
1213a40776942160
1360bb11c216333
1426ccc5d418d60
151153ad14a901c
hex809f804f1e58

141422540824152 has 512 divisors, whose sum is σ = 479488691404800. Its totient is φ = 37700557719552.

The previous prime is 141422540824091. The next prime is 141422540824199. The reversal of 141422540824152 is 251428045224141.

141422540824152 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 22 + 540 + 82 + 4 + 1 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 141422540824098 and 141422540824107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4331853093 + ... + 4331885739.

It is an arithmetic number, because the mean of its divisors is an integer number (936501350400).

Almost surely, 2141422540824152 is an apocalyptic number.

141422540824152 is a gapful number since it is divisible by the number (12) 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 141422540824152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239744345702400).

141422540824152 is an abundant number, since it is smaller than the sum of its proper divisors (338066150580648).

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

141422540824152 is a wasteful number, since it uses less digits than its factorization.

141422540824152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34140 (or 34130 counting only the distinct ones).

The product of its (nonzero) digits is 819200, while the sum is 45.

The spelling of 141422540824152 in words is "one hundred forty-one trillion, four hundred twenty-two billion, five hundred forty million, eight hundred twenty-four thousand, one hundred fifty-two".