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14465342988 = 22332317932533
BaseRepresentation
bin11010111100011001…
…11001111000001100
31101100010002120011000
431132030321320030
5214111111433423
610351214300300
71021315246425
oct153614717014
941303076130
1014465342988
116153344318
1229784b7690
131496b4b365
149b320a64c
15599e02843
hex35e339e0c

14465342988 has 96 divisors (see below), whose sum is σ = 39353126400. Its totient is φ = 4586231232.

The previous prime is 14465342939. The next prime is 14465343001. The reversal of 14465342988 is 88924356441.

14465342988 is a `hidden beast` number, since 1 + 4 + 4 + 6 + 534 + 29 + 88 = 666.

It is a super-2 number, since 2×144653429882 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 428370 + ... + 460902.

It is an arithmetic number, because the mean of its divisors is an integer number (409928400).

Almost surely, 214465342988 is an apocalyptic number.

14465342988 is a gapful number since it is divisible by the number (18) 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 14465342988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19676563200).

14465342988 is an abundant number, since it is smaller than the sum of its proper divisors (24887783412).

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

14465342988 is a wasteful number, since it uses less digits than its factorization.

14465342988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32748 (or 32740 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 14465342988 in words is "fourteen billion, four hundred sixty-five million, three hundred forty-two thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 179 207 276 358 414 537 621 716 828 1074 1242 1611 2148 2484 3222 4117 4833 6444 8234 9666 12351 16468 19332 24702 32533 37053 49404 65066 74106 97599 111159 130132 148212 195198 222318 292797 390396 444636 585594 748259 878391 1171188 1496518 1756782 2244777 2993036 3513564 4489554 5823407 6734331 8979108 11646814 13468662 17470221 20202993 23293628 26937324 34940442 40405986 52410663 69880884 80811972 104821326 133938361 157231989 209642652 267876722 314463978 401815083 535753444 628927956 803630166 1205445249 1607260332 2410890498 3616335747 4821780996 7232671494 14465342988