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150340349520 = 24325208806041
BaseRepresentation
bin1000110000000011111…
…0111010111001010000
3112101001110220001122100
42030000332322321100
54430344112141040
6153022043240400
713601400612624
oct2140076727120
9471043801570
10150340349520
1158839231849
1225178819100
131123bc36bca
1473c2a69184
153d9d90db30
hex2300fbae50

150340349520 has 60 divisors (see below), whose sum is σ = 504893009556. Its totient is φ = 40090759680.

The previous prime is 150340349519. The next prime is 150340349569. The reversal of 150340349520 is 25943043051.

150340349520 is a `hidden beast` number, since 1 + 50 + 3 + 40 + 3 + 49 + 520 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 82488435264 + 67851914256 = 287208^2 + 260484^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104402301 + ... + 104403740.

Almost surely, 2150340349520 is an apocalyptic number.

150340349520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150340349520 is an abundant number, since it is smaller than the sum of its proper divisors (354552660036).

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

150340349520 is a wasteful number, since it uses less digits than its factorization.

150340349520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208806060 (or 208806051 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 150340349520 in words is "one hundred fifty billion, three hundred forty million, three hundred forty-nine thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 208806041 417612082 626418123 835224164 1044030205 1252836246 1670448328 1879254369 2088060410 2505672492 3132090615 3340896656 3758508738 4176120820 5011344984 6264181230 7517017476 8352241640 9396271845 10022689968 12528362460 15034034952 16704483280 18792543690 25056724920 30068069904 37585087380 50113449840 75170174760 150340349520