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150861990240 = 253351317158017
BaseRepresentation
bin1000110010000000010…
…0110100100101100000
3112102101211110011012000
42030200010310211200
54432431132141430
6153145520004000
713620333521223
oct2144004644540
9472354404160
10150861990240
1158a8672a185
12252a3460600
13112c3028160
1474320555ba
153dce5ede60
hex2320134960

150861990240 has 384 divisors, whose sum is σ = 602086504320. Its totient is φ = 34950610944.

The previous prime is 150861990233. The next prime is 150861990263. The reversal of 150861990240 is 42099168051.

150861990240 is a `hidden beast` number, since 1 + 5 + 0 + 8 + 619 + 9 + 0 + 24 + 0 = 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 63 ways as a sum of consecutive naturals, for example, 875712 + ... + 1033728.

It is an arithmetic number, because the mean of its divisors is an integer number (1567933605).

Almost surely, 2150861990240 is an apocalyptic number.

150861990240 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 150861990240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301043252160).

150861990240 is an abundant number, since it is smaller than the sum of its proper divisors (451224514080).

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

150861990240 is a wasteful number, since it uses less digits than its factorization.

150861990240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158071 (or 158057 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 150861990240 in words is "one hundred fifty billion, eight hundred sixty-one million, nine hundred ninety thousand, two hundred forty".