Base | Representation |
---|---|
bin | 1000101101110100001… |
… | …0110000000111000000 |
3 | 112022111110021201221000 |
4 | 2023131002300013000 |
5 | 4423130231433034 |
6 | 152442143332000 |
7 | 13550426452131 |
oct | 2133502600700 |
9 | 468443251830 |
10 | 149737374144 |
11 | 58559931496 |
12 | 2502a8b1000 |
13 | 11174038c47 |
14 | 7366949c88 |
15 | 3d65a04599 |
hex | 22dd0b01c0 |
149737374144 has 224 divisors, whose sum is σ = 469460275200. Its totient is φ = 46637199360.
The previous prime is 149737374131. The next prime is 149737374169. The reversal of 149737374144 is 441473737941.
149737374144 is a `hidden beast` number, since 1 + 497 + 3 + 7 + 3 + 7 + 4 + 144 = 666.
It is a super-3 number, since 3×1497373741443 (a number of 35 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4064929 + ... + 4101599.
It is an arithmetic number, because the mean of its divisors is an integer number (2095804800).
Almost surely, 2149737374144 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 149737374144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234730137600).
149737374144 is an abundant number, since it is smaller than the sum of its proper divisors (319722901056).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
149737374144 is a wasteful number, since it uses less digits than its factorization.
149737374144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 36848 (or 36832 counting only the distinct ones).
The product of its digits is 7112448, while the sum is 54.
The spelling of 149737374144 in words is "one hundred forty-nine billion, seven hundred thirty-seven million, three hundred seventy-four thousand, one hundred forty-four".
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