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150343317324 = 2233107109311903
BaseRepresentation
bin1000110000000100101…
…0001111011101001100
3112101001200110211201000
42030001022033131030
54430400342123244
6153022231020300
713601435053254
oct2140112173514
9471050424630
10150343317324
115883a979582
122517980a690
131123c7359c5
1473c31dc964
153d9dce8169
hex230128f74c

150343317324 has 96 divisors (see below), whose sum is σ = 393814794240. Its totient is φ = 49596490944.

The previous prime is 150343317323. The next prime is 150343317347. The reversal of 150343317324 is 423713343051.

150343317324 is a `hidden beast` number, since 1 + 50 + 3 + 433 + 173 + 2 + 4 = 666.

It is a super-2 number, since 2×1503433173242 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (150343317323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12624757 + ... + 12636659.

It is an arithmetic number, because the mean of its divisors is an integer number (4102237440).

Almost surely, 2150343317324 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 150343317324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196907397120).

150343317324 is an abundant number, since it is smaller than the sum of its proper divisors (243471476916).

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

150343317324 is a wasteful number, since it uses less digits than its factorization.

150343317324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13116 (or 13108 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 150343317324 in words is "one hundred fifty billion, three hundred forty-three million, three hundred seventeen thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 107 108 214 321 428 642 963 1093 1284 1926 2186 2889 3279 3852 4372 5778 6558 9837 11556 11903 13116 19674 23806 29511 35709 39348 47612 59022 71418 107127 116951 118044 142836 214254 233902 321381 350853 428508 467804 642762 701706 1052559 1273621 1285524 1403412 2105118 2547242 3157677 3820863 4210236 5094484 6315354 7641726 11462589 12630708 13009979 15283452 22925178 26019958 34387767 39029937 45850356 52039916 68775534 78059874 117089811 137551068 156119748 234179622 351269433 468359244 702538866 1392067753 1405077732 2784135506 4176203259 5568271012 8352406518 12528609777 16704813036 25057219554 37585829331 50114439108 75171658662 150343317324