Search a number
-
+
32132053222320 = 2435557240365449
BaseRepresentation
bin1110100111001010100111…
…00111100100001110110000
311012202210110000222100121010
413103211103213210032300
513202422421111103240
6152201132251030520
76524315142641442
oct723452347441660
9135683400870533
1032132053222320
11a2691443aa317
12372b4a773b440
1314c106906849c
147d12b1c96492
153aac65ee2280
hex1d39539e43b0

32132053222320 has 80 divisors (see below), whose sum is σ = 99788197298400. Its totient is φ = 8553164101632.

The previous prime is 32132053222319. The next prime is 32132053222343. The reversal of 32132053222320 is 2322235023123.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 15 ways as a sum of consecutive naturals, for example, 120049045 + ... + 120316404.

It is an arithmetic number, because the mean of its divisors is an integer number (1247352466230).

Almost surely, 232132053222320 is an apocalyptic number.

32132053222320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32132053222320 is an abundant number, since it is smaller than the sum of its proper divisors (67656144076080).

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

32132053222320 is a wasteful number, since it uses less digits than its factorization.

32132053222320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240366022 (or 240366016 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

Adding to 32132053222320 its reverse (2322235023123), we get a palindrome (34454288245443).

The spelling of 32132053222320 in words is "thirty-two trillion, one hundred thirty-two billion, fifty-three million, two hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 557 1114 1671 2228 2785 3342 4456 5570 6684 8355 8912 11140 13368 16710 22280 26736 33420 44560 66840 133680 240365449 480730898 721096347 961461796 1201827245 1442192694 1922923592 2403654490 2884385388 3605481735 3845847184 4807308980 5768770776 7210963470 9614617960 11537541552 14421926940 19229235920 28843853880 57687707760 133883555093 267767110186 401650665279 535534220372 669417775465 803301330558 1071068440744 1338835550930 1606602661116 2008253326395 2142136881488 2677671101860 3213205322232 4016506652790 5355342203720 6426410644464 8033013305580 10710684407440 16066026611160 32132053222320