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23053144305408 = 28374288159283
BaseRepresentation
bin1010011110111011110100…
…11110100010111100000000
310000121212012021010012212120
411033131322132202330000
511010200314420233113
6121010245052324240
74566351256305630
oct517357236427400
9100555167105776
1023053144305408
117388868a69a78
122703a2b473680
13cb2b96121aa9
14599ac72d26c0
1529e9ea01aa23
hex14f77a7a2f00

23053144305408 has 72 divisors (see below), whose sum is σ = 70119980611968. Its totient is φ = 6586612657152.

The previous prime is 23053144305371. The next prime is 23053144305409. The reversal of 23053144305408 is 80450344135032.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 23053144305408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23053144305409) 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, 2144074266 + ... + 2144085017.

Almost surely, 223053144305408 is an apocalyptic number.

23053144305408 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

23053144305408 is an abundant number, since it is smaller than the sum of its proper divisors (47066836306560).

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

23053144305408 is an equidigital number, since it uses as much as digits as its factorization.

23053144305408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4288159309 (or 4288159295 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 23053144305408 in words is "twenty-three trillion, fifty-three billion, one hundred forty-four million, three hundred five thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 5376 4288159283 8576318566 12864477849 17152637132 25728955698 30017114981 34305274264 51457911396 60034229962 68610548528 90051344943 102915822792 120068459924 137221097056 180102689886 205831645584 240136919848 274442194112 360205379772 411663291168 480273839696 548884388224 720410759544 823326582336 960547679392 1097768776448 1440821519088 1646653164672 1921095358784 2881643038176 3293306329344 3842190717568 5763286076352 7684381435136 11526572152704 23053144305408