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141514053144240 = 2435793499010007
BaseRepresentation
bin100000001011010011001110…
…110111100100111010110000
3200120001121111200100101002110
4200023103032313210322300
5122022031240101103430
61220550354124245320
741544024105464460
oct4013231667447260
9616047450311073
10141514053144240
11410aa855810927
1213a564560a0840
1360c694445246a
1426d3461105ba0
15115618a4b57b0
hex80b4cede4eb0

141514053144240 has 160 divisors (see below), whose sum is σ = 501417757209600. Its totient is φ = 32342605857792.

The previous prime is 141514053144239. The next prime is 141514053144271. The reversal of 141514053144240 is 42441350415141.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11201317 + ... + 20211323.

It is an arithmetic number, because the mean of its divisors is an integer number (3133860982560).

Almost surely, 2141514053144240 is an apocalyptic number.

141514053144240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141514053144240 is an abundant number, since it is smaller than the sum of its proper divisors (359903704065360).

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

141514053144240 is a wasteful number, since it uses less digits than its factorization.

141514053144240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9019379 (or 9019373 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 39.

The spelling of 141514053144240 in words is "one hundred forty-one trillion, five hundred fourteen billion, fifty-three million, one hundred forty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 9349 18698 28047 37396 46745 56094 65443 74792 93490 112188 130886 140235 149584 186980 196329 224376 261772 280470 327215 373960 392658 448752 523544 560940 654430 747920 785316 981645 1047088 1121880 1308860 1570632 1963290 2243760 2617720 3141264 3926580 5235440 7853160 9010007 15706320 18020014 27030021 36040028 45050035 54060042 63070049 72080056 90100070 108120084 126140098 135150105 144160112 180200140 189210147 216240168 252280196 270300210 315350245 360400280 378420294 432480336 504560392 540600420 630700490 720800560 756840588 946050735 1009120784 1081200840 1261400980 1513681176 1892101470 2162401680 2522801960 3027362352 3784202940 5045603920 7568405880 15136811760 84234555443 168469110886 252703666329 336938221772 421172777215 505407332658 589641888101 673876443544 842345554430 1010814665316 1179283776202 1263518331645 1347752887088 1684691108860 1768925664303 2021629330632 2358567552404 2527036663290 2948209440505 3369382217720 3537851328606 4043258661264 4717135104808 5054073326580 5896418881010 6738764435440 7075702657212 8844628321515 9434270209616 10108146653160 11792837762020 14151405314424 17689256643030 20216293306320 23585675524040 28302810628848 35378513286060 47171351048080 70757026572120 141514053144240