Search a number
-
+
149604618240 = 21232571183127
BaseRepresentation
bin1000101101010100100…
…0010101000000000000
3112022011012111001001200
42023111020111000000
54422342240240430
6152421042101200
713544225162520
oct2132510250000
9468135431050
10149604618240
11584a09a7a70
1224bb234a800
1311152696c5c
14735306d680
153d5902e460
hex22d5215000

149604618240 has 1248 divisors, whose sum is σ = 659465404416. Its totient is φ = 30470307840.

The previous prime is 149604618239. The next prime is 149604618253. The reversal of 149604618240 is 42816406941.

149604618240 is a `hidden beast` number, since 1 + 4 + 9 + 6 + 0 + 4 + 618 + 24 + 0 = 666.

It is a super-2 number, since 2×1496046182402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1177989057 + ... + 1177989183.

It is an arithmetic number, because the mean of its divisors is an integer number (528417792).

Almost surely, 2149604618240 is an apocalyptic number.

149604618240 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 149604618240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329732702208).

149604618240 is an abundant number, since it is smaller than the sum of its proper divisors (509860786176).

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

149604618240 is a wasteful number, since it uses less digits than its factorization.

149604618240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 149604618240 in words is "one hundred forty-nine billion, six hundred four million, six hundred eighteen thousand, two hundred forty".