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150119144 = 23721133389
BaseRepresentation
bin10001111001010…
…10001011101000
3101110110211202022
420330222023220
5301412303034
622521324012
73501664100
oct1074521350
9343424668
10150119144
117781380a
1242336608
13251411c6
1415d1a200
15d2a4b2e
hex8f2a2e8

150119144 has 48 divisors (see below), whose sum is σ = 330423300. Its totient is φ = 63748608.

The previous prime is 150119131. The next prime is 150119153. The reversal of 150119144 is 441911051.

It can be written as a sum of positive squares in 2 ways, for example, as 150062500 + 56644 = 12250^2 + 238^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42602 + ... + 45990.

Almost surely, 2150119144 is an apocalyptic number.

150119144 is a gapful number since it is divisible by the number (14) 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 150119144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165211650).

150119144 is an abundant number, since it is smaller than the sum of its proper divisors (180304156).

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

150119144 is a wasteful number, since it uses less digits than its factorization.

150119144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3522 (or 3511 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 26.

The square root of 150119144 is about 12252.3117818639. The cubic root of 150119144 is about 531.4699244643.

The spelling of 150119144 in words is "one hundred fifty million, one hundred nineteen thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 113 196 226 392 452 791 904 1582 3164 3389 5537 6328 6778 11074 13556 22148 23723 27112 44296 47446 94892 166061 189784 332122 382957 664244 765914 1328488 1531828 2680699 3063656 5361398 10722796 18764893 21445592 37529786 75059572 150119144