Search a number
-
+
149384570544 = 243311232695081
BaseRepresentation
bin1000101100100000000…
…0111010011010110000
3112021120212102110101000
42023020000322122300
54421414422224134
6152343141442000
713535613620166
oct2131000723260
9467525373330
10149384570544
1158398771970
1224b50710300
1311118c10911
147331b4d236
153d44a64e99
hex22c803a6b0

149384570544 has 320 divisors, whose sum is σ = 490018636800. Its totient is φ = 43130419200.

The previous prime is 149384570513. The next prime is 149384570557. The reversal of 149384570544 is 445075483941.

149384570544 is a `hidden beast` number, since 1 + 4 + 93 + 8 + 4 + 5 + 7 + 0 + 544 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 29398084 + ... + 29403164.

It is an arithmetic number, because the mean of its divisors is an integer number (1531308240).

Almost surely, 2149384570544 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 149384570544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245009318400).

149384570544 is an abundant number, since it is smaller than the sum of its proper divisors (340634066256).

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

149384570544 is a wasteful number, since it uses less digits than its factorization.

149384570544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5401 (or 5389 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 149384570544 in words is "one hundred forty-nine billion, three hundred eighty-four million, five hundred seventy thousand, five hundred forty-four".