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14040055014030 = 2325292479387253
BaseRepresentation
bin1100110001001111010001…
…1111011110001010001110
31211201012211120111111022200
43030103310133132022032
53320013013040422110
645505525013022330
72646234436351113
oct314236437361216
954635746444280
1014040055014030
114523399039571
1216a90820249a6
137aac82528b96
1436778407a90a
151953326506c0
hexcc4f47de28e

14040055014030 has 144 divisors (see below), whose sum is σ = 37885337642880. Its totient is φ = 3607354614528.

The previous prime is 14040055013989. The next prime is 14040055014131. The reversal of 14040055014030 is 3041055004041.

It is a happy number.

14040055014030 is a `hidden beast` number, since 1 + 4 + 0 + 40 + 0 + 550 + 1 + 40 + 30 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 14040055013985 and 14040055014003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 36061884 + ... + 36449136.

It is an arithmetic number, because the mean of its divisors is an integer number (263092622520).

Almost surely, 214040055014030 is an apocalyptic number.

14040055014030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14040055014030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18942668821440).

14040055014030 is an abundant number, since it is smaller than the sum of its proper divisors (23845282628850).

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

14040055014030 is a wasteful number, since it uses less digits than its factorization.

14040055014030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387803 (or 387771 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 14040055014030 in words is "fourteen trillion, forty billion, fifty-five million, fourteen thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 479 522 841 870 958 1305 1437 1682 2395 2523 2610 2874 4205 4311 4790 5046 7185 7569 8410 8622 12615 13891 14370 15138 21555 25230 27782 37845 41673 43110 69455 75690 83346 125019 138910 208365 250038 387253 402839 416730 625095 774506 805678 1161759 1208517 1250190 1936265 2014195 2323518 2417034 3485277 3625551 3872530 4028390 5808795 6042585 6970554 7251102 11230337 11617590 12085170 17426385 18127755 22460674 33691011 34852770 36255510 56151685 67382022 101073033 112303370 168455055 185494187 202146066 325679773 336910110 370988374 505365165 556482561 651359546 927470935 977039319 1010730330 1112965122 1628398865 1669447683 1854941870 1954078638 2782412805 2931117957 3256797730 3338895366 4885196595 5379331423 5564825610 5862235914 8347238415 9770393190 10758662846 14655589785 16137994269 16694476830 26896657115 29311179570 32275988538 48413982807 53793314230 80689971345 96827965614 156000611267 161379942690 242069914035 312001222534 468001833801 484139828070 780003056335 936003667602 1404005501403 1560006112670 2340009169005 2808011002806 4680018338010 7020027507015 14040055014030