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14145245251056 = 24321631747344959
BaseRepresentation
bin1100110111010111001001…
…0100011000010111110000
31212002021100110111012021100
43031311302110120113300
53323223430241013211
650030122544524400
72656650235540023
oct315656224302760
955067313435240
1014145245251056
114563a681a6557
12170553a020700
137b7b7741379a
1436c8c255d1ba
15197e3c36d156
hexcdd725185f0

14145245251056 has 120 divisors (see below), whose sum is σ = 39852820367360. Its totient is φ = 4683458890368.

The previous prime is 14145245251051. The next prime is 14145245251091. The reversal of 14145245251056 is 65015254254141.

14145245251056 is a `hidden beast` number, since 1 + 4 + 1 + 45 + 2 + 45 + 2 + 510 + 56 = 666.

14145245251056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14145245251051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40833105 + ... + 41178063.

Almost surely, 214145245251056 is an apocalyptic number.

14145245251056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14145245251056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19926410183680).

14145245251056 is an abundant number, since it is smaller than the sum of its proper divisors (25707575116304).

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

14145245251056 is a wasteful number, since it uses less digits than its factorization.

14145245251056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346883 (or 346874 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 45.

The spelling of 14145245251056 in words is "fourteen trillion, one hundred forty-five billion, two hundred forty-five million, two hundred fifty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 163 326 489 652 978 1304 1467 1747 1956 2608 2934 3494 3912 5241 5868 6988 7824 10482 11736 13976 15723 20964 23472 27952 31446 41928 62892 83856 125784 251568 284761 344959 569522 689918 854283 1034877 1139044 1379836 1708566 2069754 2278088 2562849 2759672 3104631 3417132 4139508 4556176 5125698 5519344 6209262 6834264 8279016 10251396 12418524 13668528 16558032 20502792 24837048 41005584 49674096 56228317 112456634 168684951 224913268 337369902 449826536 506054853 602643373 674739804 899653072 1012109706 1205286746 1349479608 1807930119 2024219412 2410573492 2698959216 3615860238 4048438824 4821146984 5423790357 7231720476 8096877648 9642293968 10847580714 14463440952 21695161428 28926881904 43390322856 86780645712 98230869799 196461739598 294692609397 392923479196 589385218794 785846958392 884077828191 1178770437588 1571693916784 1768155656382 2357540875176 3536311312764 4715081750352 7072622625528 14145245251056