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14153625744 = 2434112756629
BaseRepresentation
bin11010010111001111…
…10011000010010000
31100112101112200110220
431023213303002100
5212441312010434
610300241153040
71010511555666
oct151347630220
940471480426
1014153625744
116003397565
1228b002b780
1314473aa19b
14983a66c36
1557c87bd49
hex34b9f3090

14153625744 has 80 divisors (see below), whose sum is σ = 37750917120. Its totient is φ = 4566481920.

The previous prime is 14153625737. The next prime is 14153625793. The reversal of 14153625744 is 44752635141.

It is a junction number, because it is equal to n+sod(n) for n = 14153625696 and 14153625705.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 221622 + ... + 278250.

It is an arithmetic number, because the mean of its divisors is an integer number (471886464).

Almost surely, 214153625744 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 14153625744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18875458560).

14153625744 is an abundant number, since it is smaller than the sum of its proper divisors (23597291376).

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

14153625744 is a wasteful number, since it uses less digits than its factorization.

14153625744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56808 (or 56802 counting only the distinct ones).

The product of its digits is 403200, while the sum is 42.

The spelling of 14153625744 in words is "fourteen billion, one hundred fifty-three million, six hundred twenty-five thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 127 164 246 254 328 381 492 508 656 762 984 1016 1524 1968 2032 3048 5207 6096 10414 15621 20828 31242 41656 56629 62484 83312 113258 124968 169887 226516 249936 339774 453032 679548 906064 1359096 2321789 2718192 4643578 6965367 7191883 9287156 13930734 14383766 18574312 21575649 27861468 28767532 37148624 43151298 55722936 57535064 86302596 111445872 115070128 172605192 294867203 345210384 589734406 884601609 1179468812 1769203218 2358937624 3538406436 4717875248 7076812872 14153625744