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151214144 = 2623432389
BaseRepresentation
bin10010000001101…
…01100001000000
3101112112110210212
421000311201000
5302202323034
623001013252
73514204364
oct1100654100
9345473725
10151214144
11783a1474
1242784228
1325435733
14161232a4
15d41e2ce
hex9035840

151214144 has 56 divisors (see below), whose sum is σ = 320527680. Its totient is φ = 70608384.

The previous prime is 151214143. The next prime is 151214159. The reversal of 151214144 is 441412151.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (151214143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62102 + ... + 64490.

Almost surely, 2151214144 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 151214144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160263840).

151214144 is an abundant number, since it is smaller than the sum of its proper divisors (169313536).

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

151214144 is a wasteful number, since it uses less digits than its factorization.

151214144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2467 (or 2457 counting only the distinct ones).

The product of its digits is 640, while the sum is 23.

The square root of 151214144 is about 12296.9160361450. The cubic root of 151214144 is about 532.7590123189.

Adding to 151214144 its reverse (441412151), we get a palindrome (592626295).

The spelling of 151214144 in words is "one hundred fifty-one million, two hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 23 32 43 46 64 86 92 172 184 344 368 688 736 989 1376 1472 1978 2389 2752 3956 4778 7912 9556 15824 19112 31648 38224 54947 63296 76448 102727 109894 152896 205454 219788 410908 439576 821816 879152 1643632 1758304 2362721 3287264 3516608 4725442 6574528 9450884 18901768 37803536 75607072 151214144