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158412414420 = 2237513278591
BaseRepresentation
bin1001001110001000011…
…1011001110111010100
3120010220000220110000000
42103202013121313110
510043412034230140
6200435035451300
714305415206551
oct2234207316724
9503800813000
10158412414420
1161200750667
122684bbb6b30
1311c2738c680
14794ab31a28
1541c23e1a30
hex24e21d9dd4

158412414420 has 192 divisors, whose sum is σ = 537303674880. Its totient is φ = 38993685120.

The previous prime is 158412414409. The next prime is 158412414437. The reversal of 158412414420 is 24414214851.

158412414420 is a `hidden beast` number, since 1 + 584 + 1 + 24 + 14 + 42 + 0 = 666.

158412414420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 429325 + ... + 707915.

It is an arithmetic number, because the mean of its divisors is an integer number (2798456640).

Almost surely, 2158412414420 is an apocalyptic number.

158412414420 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 158412414420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268651837440).

158412414420 is an abundant number, since it is smaller than the sum of its proper divisors (378891260460).

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

158412414420 is a wasteful number, since it uses less digits than its factorization.

158412414420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278634 (or 278614 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 158412414420 in words is "one hundred fifty-eight billion, four hundred twelve million, four hundred fourteen thousand, four hundred twenty".