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14005455503264 = 252348917573
BaseRepresentation
bin1100101111001110011000…
…1100110011111110100000
31211120220112021102020022222
43023303212030303332200
53313431133102101024
645442003433250212
72643601146354641
oct313634614637640
954526467366288
1014005455503264
11450a753567a75
1216a2426863968
137a792a2883a4
14365c20c216c8
151944a9d2d85e
hexcbce6333fa0

14005455503264 has 120 divisors (see below), whose sum is σ = 29152117969380. Its totient is φ = 6622623079424.

The previous prime is 14005455503251. The next prime is 14005455503339. The reversal of 14005455503264 is 46230555450041.

It can be written as a sum of positive squares in 2 ways, for example, as 13948282867600 + 57172635664 = 3734740^2 + 239108^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 796978382 + ... + 796995954.

Almost surely, 214005455503264 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 14005455503264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14576058984690).

14005455503264 is an abundant number, since it is smaller than the sum of its proper divisors (15146662466116).

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

14005455503264 is an frugal number, since it uses more digits than its factorization.

14005455503264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17764 (or 17687 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 44.

The spelling of 14005455503264 in words is "fourteen trillion, five billion, four hundred fifty-five million, five hundred three thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 23 32 46 89 92 178 184 356 368 529 712 736 1058 1424 2047 2116 2848 4094 4232 8188 8464 12167 16376 16928 17573 24334 32752 35146 47081 48668 65504 70292 94162 97336 140584 188324 194672 279841 281168 376648 389344 404179 559682 562336 753296 808358 1082863 1119364 1506592 1563997 1616716 2165726 2238728 3127994 3233432 4331452 4477456 6255988 6466864 8662904 8954912 9296117 12511976 12933728 17325808 18592234 24905849 25023952 34651616 35971931 37184468 49811698 50047904 71943862 74368936 99623396 143887724 148737872 199246792 213810691 287775448 297475744 398493584 427621382 575550896 796987168 827354413 855242764 1151101792 1654708826 1710485528 3309417652 3420971056 4917645893 6618835304 6841942112 9835291786 13237670608 19029151499 19670583572 26475341216 38058302998 39341167144 76116605996 78682334288 152233211992 157364668576 304466423984 437670484477 608932847968 875340968954 1750681937908 3501363875816 7002727751632 14005455503264