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14431705552 = 24111737130363
BaseRepresentation
bin11010111000011001…
…00101100111010000
31101020202210121021001
431130030211213100
5214024004034202
610344013311344
71020426321205
oct153414454720
941222717231
1014431705552
116136359a90
122969195554
13148cba1854
149ac971cac
15596eaad87
hex35c3259d0

14431705552 has 80 divisors (see below), whose sum is σ = 33170859072. Its totient is φ = 6007080960.

The previous prime is 14431705549. The next prime is 14431705619. The reversal of 14431705552 is 25550713441.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

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, 45523 + ... + 175885.

Almost surely, 214431705552 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 14431705552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16585429536).

14431705552 is an abundant number, since it is smaller than the sum of its proper divisors (18739153520).

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

14431705552 is a wasteful number, since it uses less digits than its factorization.

14431705552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130436 (or 130430 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 37.

The spelling of 14431705552 in words is "fourteen billion, four hundred thirty-one million, seven hundred five thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 16 17 22 34 37 44 68 74 88 136 148 176 187 272 296 374 407 592 629 748 814 1258 1496 1628 2516 2992 3256 5032 6512 6919 10064 13838 27676 55352 110704 130363 260726 521452 1042904 1433993 2085808 2216171 2867986 4432342 4823431 5735972 8864684 9646862 11471944 17729368 19293724 22943888 24377881 35458736 38587448 48755762 53057741 77174896 81998327 97511524 106115482 163996654 195023048 212230964 327993308 390046096 424461928 655986616 848923856 901981597 1311973232 1803963194 3607926388 7215852776 14431705552