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40084324752924 = 2232231511791791077
BaseRepresentation
bin10010001110100110110111…
…11100000001111000011100
312020221000122111211022000200
421013103123330001320130
520223220144114043144
6221130252400223500
711304665635444314
oct1107233374017034
9166830574738020
1040084324752924
1111854737366021
1245b473b30ab90
131949c216a767a
149c813d782444
15497a42c0dc69
hex2474dbf01e1c

40084324752924 has 144 divisors (see below), whose sum is σ = 107024504670720. Its totient is φ = 12624936508800.

The previous prime is 40084324752907. The next prime is 40084324753021. The reversal of 40084324752924 is 42925742348004.

40084324752924 is a `hidden beast` number, since 4 + 0 + 0 + 84 + 3 + 2 + 475 + 2 + 92 + 4 = 666.

40084324752924 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 21484474 + ... + 23275550.

It is an arithmetic number, because the mean of its divisors is an integer number (743225726880).

Almost surely, 240084324752924 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 40084324752924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53512252335360).

40084324752924 is an abundant number, since it is smaller than the sum of its proper divisors (66940179917796).

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

40084324752924 is a wasteful number, since it uses less digits than its factorization.

40084324752924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1791440 (or 1791435 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 40084324752924 in words is "forty trillion, eighty-four billion, three hundred twenty-four million, seven hundred fifty-two thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 151 179 207 276 302 358 414 453 537 604 716 828 906 1074 1359 1611 1812 2148 2718 3222 3473 4117 5436 6444 6946 8234 10419 12351 13892 16468 20838 24702 27029 31257 37053 41676 49404 54058 62514 74106 81087 108116 125028 148212 162174 243261 324348 486522 621667 973044 1243334 1791077 1865001 2486668 3582154 3730002 5373231 5595003 7164308 7460004 10746462 11190006 16119693 21492924 22380012 32239386 41194771 64478772 82389542 123584313 164779084 247168626 270452627 320602783 370752939 494337252 540905254 641205566 741505878 811357881 961808349 1081810508 1282411132 1483011756 1622715762 1923616698 2434073643 2885425047 3245431524 3847233396 4868147286 5770850094 6220410421 7373864009 9736294572 11541700188 12440820842 14747728018 18661231263 22121592027 24881641684 29495456036 37322462526 44243184054 48411020233 55983693789 66364776081 74644925052 88486368108 96822040466 111967387578 132729552162 145233060699 193644080932 223934775156 265459104324 290466121398 435699182097 580932242796 871398364194 1113453465359 1742796728388 2226906930718 3340360396077 4453813861436 6680720792154 10021081188231 13361441584308 20042162376462 40084324752924