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150004340512 = 2513317125509
BaseRepresentation
bin1000101110110011110…
…1001001011100100000
3112100012001122000221021
42023230331021130200
54424202102344022
6152524441335224
713560150566545
oct2135475113440
9470161560837
10150004340512
11586865a3254
12250a4197514
13111b743c000
1473901a0bcc
153d7e18a7c7
hex22ecf49720

150004340512 has 96 divisors (see below), whose sum is σ = 338741449200. Its totient is φ = 65159737344.

The previous prime is 150004340501. The next prime is 150004340531. The reversal of 150004340512 is 215043400051.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 10095426576 + 139908913936 = 100476^2 + 374044^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1132414 + ... + 1257922.

Almost surely, 2150004340512 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 150004340512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169370724600).

150004340512 is an abundant number, since it is smaller than the sum of its proper divisors (188737108688).

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

150004340512 is a wasteful number, since it uses less digits than its factorization.

150004340512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125575 (or 125541 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 150004340512 its reverse (215043400051), we get a palindrome (365047740563).

The spelling of 150004340512 in words is "one hundred fifty billion, four million, three hundred forty thousand, five hundred twelve".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 169 208 221 272 338 416 442 544 676 884 1352 1768 2197 2704 2873 3536 4394 5408 5746 7072 8788 11492 17576 22984 35152 37349 45968 70304 74698 91936 125509 149396 251018 298792 502036 597584 1004072 1195168 1631617 2008144 2133653 3263234 4016288 4267306 6526468 8534612 13052936 17069224 21211021 26105872 27737489 34138448 42422042 52211744 55474978 68276896 84844084 110949956 169688168 221899912 275743273 339376336 360587357 443799824 551486546 678752672 721174714 887599648 1102973092 1442349428 2205946184 2884698856 4411892368 4687635641 5769397712 8823784736 9375271282 11538795424 18750542564 37501085128 75002170256 150004340512