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149143317120 = 273457410999
BaseRepresentation
bin1000101011100110100…
…0100110101010000000
3112020222001110111220000
42022321220212222000
54420421142121440
6152303202520000
713526624164350
oct2127150465200
9466861414800
10149143317120
1158284572676
1224aa3966000
13110aac41405
14730baacb60
153d2d7ac730
hex22b9a26a80

149143317120 has 320 divisors, whose sum is σ = 608707440000. Its totient is φ = 34089818112.

The previous prime is 149143317109. The next prime is 149143317133. The reversal of 149143317120 is 21713341941.

It is a happy number.

149143317120 is a `hidden beast` number, since 1 + 4 + 91 + 433 + 17 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 157381 + ... + 568379.

It is an arithmetic number, because the mean of its divisors is an integer number (1902210750).

Almost surely, 2149143317120 is an apocalyptic number.

149143317120 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 149143317120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304353720000).

149143317120 is an abundant number, since it is smaller than the sum of its proper divisors (459564122880).

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

149143317120 is an equidigital number, since it uses as much as digits as its factorization.

149143317120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411037 (or 411016 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 149143317120 in words is "one hundred forty-nine billion, one hundred forty-three million, three hundred seventeen thousand, one hundred twenty".