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151331233144 = 23713207872573
BaseRepresentation
bin1000110011110000001…
…0110101110101111000
3112110121112102011102211
42030330002311311320
54434411243430034
6153304241304504
713635062154310
oct2147402656570
9473545364384
10151331233144
11591a7599333
12253b4635134
1311369301790
1474784c2440
153e0a8ddd64
hex233c0b5d78

151331233144 has 32 divisors (see below), whose sum is σ = 349225924320. Its totient is φ = 59867300736.

The previous prime is 151331233121. The next prime is 151331233153. The reversal of 151331233144 is 441332133151.

151331233144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1513312331442 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103935559 + ... + 103937014.

It is an arithmetic number, because the mean of its divisors is an integer number (10913310135).

Almost surely, 2151331233144 is an apocalyptic number.

151331233144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

151331233144 is an abundant number, since it is smaller than the sum of its proper divisors (197894691176).

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

151331233144 is a wasteful number, since it uses less digits than its factorization.

151331233144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207872599 (or 207872595 counting only the distinct ones).

The product of its digits is 12960, while the sum is 31.

Adding to 151331233144 its reverse (441332133151), we get a palindrome (592663366295).

The spelling of 151331233144 in words is "one hundred fifty-one billion, three hundred thirty-one million, two hundred thirty-three thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 207872573 415745146 831490292 1455108011 1662980584 2702343449 2910216022 5404686898 5820432044 10809373796 11640864088 18916404143 21618747592 37832808286 75665616572 151331233144