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252300012144 = 24338313723891
BaseRepresentation
bin1110101011111001000…
…0001010101001110000
3220010020012222120122020
43222332100022221300
513113202300342034
6311523252511440
724141141501345
oct3527620125160
9803205876566
10252300012144
1197aaa863434
1240a9291b580
131aa3a73971b
14c2d60847cc
156869bde249
hex3abe40aa70

252300012144 has 40 divisors (see below), whose sum is σ = 653476841472. Its totient is φ = 83880415680.

The previous prime is 252300012131. The next prime is 252300012191. The reversal of 252300012144 is 441210003252.

It is a super-2 number, since 2×2523000121442 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6843562 + ... + 6880329.

Almost surely, 2252300012144 is an apocalyptic number.

252300012144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

252300012144 is an abundant number, since it is smaller than the sum of its proper divisors (401176829328).

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

252300012144 is a wasteful number, since it uses less digits than its factorization.

252300012144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13724285 (or 13724279 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 252300012144 its reverse (441210003252), we get a palindrome (693510015396).

The spelling of 252300012144 in words is "two hundred fifty-two billion, three hundred million, twelve thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 383 766 1149 1532 2298 3064 4596 6128 9192 18384 13723891 27447782 41171673 54895564 82343346 109791128 164686692 219582256 329373384 658746768 5256250253 10512500506 15768750759 21025001012 31537501518 42050002024 63075003036 84100004048 126150006072 252300012144