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149101054080 = 273511172631579
BaseRepresentation
bin1000101011011100011…
…1011000100010000000
3112020212002221022220020
42022313013120202000
54420324332212310
6152255053013440
713525602022446
oct2126707304200
9466762838806
10149101054080
1158262726840
1224a91784280
13110a22647b4
14730622ab96
153d29c10170
hex22b71d8880

149101054080 has 512 divisors, whose sum is σ = 551399270400. Its totient is φ = 33868677120.

The previous prime is 149101054013. The next prime is 149101054099. The reversal of 149101054080 is 80450101941.

It is a super-2 number, since 2×1491010540802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 94426731 + ... + 94428309.

It is an arithmetic number, because the mean of its divisors is an integer number (1076951700).

Almost surely, 2149101054080 is an apocalyptic number.

149101054080 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 149101054080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275699635200).

149101054080 is an abundant number, since it is smaller than the sum of its proper divisors (402298216320).

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

149101054080 is a wasteful number, since it uses less digits than its factorization.

149101054080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1892 (or 1880 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The spelling of 149101054080 in words is "one hundred forty-nine billion, one hundred one million, fifty-four thousand, eighty".