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150430241312 = 2513653553769
BaseRepresentation
bin1000110000011001010…
…1110101001000100000
3112101021202001000222222
42030012111311020200
54431040120210222
6153035014050212
713603541645051
oct2140625651040
9471252030888
10150430241312
1158884a4988a
12251a2949968
131125474b810
1473d0988728
153da6768542
hex2306575220

150430241312 has 48 divisors (see below), whose sum is σ = 319430041560. Its totient is φ = 69322893312.

The previous prime is 150430241287. The next prime is 150430241321. The reversal of 150430241312 is 213142034051.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 60360627856 + 90069613456 = 245684^2 + 300116^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5237 + ... + 548532.

Almost surely, 2150430241312 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 150430241312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159715020780).

150430241312 is an abundant number, since it is smaller than the sum of its proper divisors (168999800248).

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

150430241312 is a wasteful number, since it uses less digits than its factorization.

150430241312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554445 (or 554437 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 150430241312 its reverse (213142034051), we get a palindrome (363572275363).

The spelling of 150430241312 in words is "one hundred fifty billion, four hundred thirty million, two hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 653 1306 2612 5224 8489 10448 16978 20896 33956 67912 135824 271648 553769 1107538 2215076 4430152 7198997 8860304 14397994 17720608 28795988 57591976 115183952 230367904 361611157 723222314 1446444628 2892889256 4700945041 5785778512 9401890082 11571557024 18803780164 37607560328 75215120656 150430241312