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40250550255345 = 32517293278955333
BaseRepresentation
bin10010010011011100011111…
…01111111111111011110001
312021111220201001102201212100
421021232033233333323301
520233431111331132340
6221334503021451013
711323002105060333
oct1111561757777361
9167456631381770
1040250550255345
1111909187320301
1246209aba10a69
13195c7c2656121
149d21cc005453
1549c020ec9830
hex249b8fbffef1

40250550255345 has 96 divisors (see below), whose sum is σ = 76422606343200. Its totient is φ = 19506553823232.

The previous prime is 40250550255323. The next prime is 40250550255359. The reversal of 40250550255345 is 54355205505204.

40250550255345 is a `hidden beast` number, since 4 + 0 + 2 + 5 + 0 + 5 + 50 + 2 + 553 + 45 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 8767307809296 + 31483242446049 = 2960964^2 + 5610993^2 .

It is not a de Polignac number, because 40250550255345 - 29 = 40250550254833 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 40250550255345.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 727396299 + ... + 727451631.

It is an arithmetic number, because the mean of its divisors is an integer number (796068816075).

Almost surely, 240250550255345 is an apocalyptic number.

40250550255345 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40250550255345 is a deficient number, since it is larger than the sum of its proper divisors (36172056087855).

40250550255345 is a wasteful number, since it uses less digits than its factorization.

40250550255345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88179 (or 88176 counting only the distinct ones).

The product of its (nonzero) digits is 3000000, while the sum is 45.

The spelling of 40250550255345 in words is "forty trillion, two hundred fifty billion, five hundred fifty million, two hundred fifty-five thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 17 29 45 51 85 87 145 153 255 261 435 493 765 1305 1479 2465 4437 7395 22185 32789 55333 98367 163945 165999 276665 295101 491835 497997 557413 829995 940661 950881 1475505 1604657 1672239 2489985 2787065 2821983 2852643 4703305 4754405 4813971 5016717 8023285 8361195 8465949 8557929 14109915 14263215 14441913 16164977 24069855 25083585 27279169 42329745 42789645 48494931 72209565 80824885 81837507 136395845 145484793 242474655 245512521 409187535 727423965 1227562605 1814313737 5442941211 9071568685 16328823633 27214706055 30843333529 52615098373 81644118165 92530000587 154216667645 157845295119 263075491865 277590001761 462650002935 473535885357 789226475595 894456672341 1387950008805 2367679426785 2683370017023 4472283361705 8050110051069 13416850085115 40250550255345