Search a number
-
+
150785490240 = 2632571117233747
BaseRepresentation
bin1000110001101110000…
…0111111110101000000
3112102012111111112220200
42030123200333311000
54432302041141430
6153134144205200
713615414343160
oct2143340776500
9472174445820
10150785490240
1158a47529640
1225281909800
13112b0221b98
147425c205a0
153dc7a3c460
hex231b83fd40

150785490240 has 2688 divisors, whose sum is σ = 749338656768. Its totient is φ = 26860584960.

The previous prime is 150785490239. The next prime is 150785490259. The reversal of 150785490240 is 42094587051.

150785490240 is a `hidden beast` number, since 1 + 50 + 78 + 5 + 490 + 2 + 40 = 666.

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 polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3208201897 + ... + 3208201943.

Almost surely, 2150785490240 is an apocalyptic number.

150785490240 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 150785490240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374669328384).

150785490240 is an abundant number, since it is smaller than the sum of its proper divisors (598553166528).

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

150785490240 is a wasteful number, since it uses less digits than its factorization.

150785490240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 150785490240 in words is "one hundred fifty billion, seven hundred eighty-five million, four hundred ninety thousand, two hundred forty".