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151442144 = 2572591637
BaseRepresentation
bin10010000011011…
…01001011100000
3101112222001120022
421001231023200
5302232122034
623005533012
73516144200
oct1101551340
9345861508
10151442144
11785377a7
1242874168
13254b5449
1416182400
15d466b2e
hex906d2e0

151442144 has 72 divisors (see below), whose sum is σ = 352923480. Its totient is φ = 63764736.

The previous prime is 151442107. The next prime is 151442149. The reversal of 151442144 is 441244151.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151442149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91694 + ... + 93330.

It is an arithmetic number, because the mean of its divisors is an integer number (4901715).

Almost surely, 2151442144 is an apocalyptic number.

151442144 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 151442144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176461740).

151442144 is an abundant number, since it is smaller than the sum of its proper divisors (201481336).

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

151442144 is a wasteful number, since it uses less digits than its factorization.

151442144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1720 (or 1705 counting only the distinct ones).

The product of its digits is 2560, while the sum is 26.

The square root of 151442144 is about 12306.1831613218. The cubic root of 151442144 is about 533.0266417273.

Adding to 151442144 its reverse (441244151), we get a palindrome (592686295).

The spelling of 151442144 in words is "one hundred fifty-one million, four hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 59 98 112 118 196 224 236 392 413 472 784 826 944 1568 1637 1652 1888 2891 3274 3304 5782 6548 6608 11459 11564 13096 13216 22918 23128 26192 45836 46256 52384 80213 91672 92512 96583 160426 183344 193166 320852 366688 386332 641704 676081 772664 1283408 1352162 1545328 2566816 2704324 3090656 4732567 5408648 9465134 10817296 18930268 21634592 37860536 75721072 151442144