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212140413324 = 223275330615189
BaseRepresentation
bin1100010110010010001…
…1011101000110001100
3202021120102121120201100
43011210203131012030
511433430421211244
6241242253143100
721220015522020
oct3054443350614
9667512546640
10212140413324
1181a71807444
123514548aa90
131700a5a71b8
14a3a6610380
1557b91cdb69
hex31648dd18c

212140413324 has 144 divisors (see below), whose sum is σ = 624737655360. Its totient is φ = 59437048320.

The previous prime is 212140413319. The next prime is 212140413337. The reversal of 212140413324 is 423314041212.

212140413324 is a `hidden beast` number, since 2 + 1 + 214 + 0 + 413 + 32 + 4 = 666.

212140413324 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40880122 + ... + 40885310.

It is an arithmetic number, because the mean of its divisors is an integer number (4338455940).

Almost surely, 2212140413324 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 212140413324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312368827680).

212140413324 is an abundant number, since it is smaller than the sum of its proper divisors (412597242036).

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

212140413324 is a wasteful number, since it uses less digits than its factorization.

212140413324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8320 (or 8315 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 212140413324 its reverse (423314041212), we get a palindrome (635454454536).

The spelling of 212140413324 in words is "two hundred twelve billion, one hundred forty million, four hundred thirteen thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 53 63 84 106 126 159 212 252 318 371 477 636 742 954 1113 1484 1908 2226 3061 3339 4452 5189 6122 6678 9183 10378 12244 13356 15567 18366 20756 21427 27549 31134 36323 36732 42854 46701 55098 62268 64281 72646 85708 93402 108969 110196 128562 145292 162233 186804 192843 217938 257124 275017 324466 326907 385686 435876 486699 550034 648932 653814 771372 825051 973398 1100068 1135631 1307628 1460097 1650102 1925119 1946796 2271262 2475153 2920194 3300204 3406893 3850238 4542524 4950306 5775357 5840388 6813786 7700476 9900612 10220679 11550714 13627572 15883529 17326071 20441358 23101428 31767058 34652142 40882716 47650587 63534116 69304284 95301174 111184703 142951761 190602348 222369406 285903522 333554109 444738812 571807044 667108218 841827037 1000662327 1334216436 1683654074 2001324654 2525481111 3367308148 4002649308 5050962222 5892789259 7576443333 10101924444 11785578518 15152886666 17678367777 23571157036 30305773332 35356735554 53035103331 70713471108 106070206662 212140413324