Search a number
-
+
1323442350352 = 24538928976053
BaseRepresentation
bin10011010000100011010…
…011111010100100010000
311200112000222021020102101
4103100203103322210100
5133140402220202402
62451551522330144
7164421064240213
oct23204323724420
94615028236371
101323442350352
114702a5782a61
121945aa1b9954
1397a52a05475
14480aab0377a
152465beb1b87
hex134234fa910

1323442350352 has 80 divisors (see below), whose sum is σ = 2643253164720. Its totient is φ = 641613479936.

The previous prime is 1323442350337. The next prime is 1323442350353. The reversal of 1323442350352 is 2530532443231.

It can be written as a sum of positive squares in 8 ways, for example, as 336511369216 + 986930981136 = 580096^2 + 993444^2 .

It is not an unprimeable number, because it can be changed into a prime (1323442350353) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 218639358 + ... + 218645410.

It is an arithmetic number, because the mean of its divisors is an integer number (33040664559).

Almost surely, 21323442350352 is an apocalyptic number.

It is an amenable number.

1323442350352 is a deficient number, since it is larger than the sum of its proper divisors (1319810814368).

1323442350352 is a wasteful number, since it uses less digits than its factorization.

1323442350352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9100 (or 9094 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 37.

Adding to 1323442350352 its reverse (2530532443231), we get a palindrome (3853974793583).

The spelling of 1323442350352 in words is "one trillion, three hundred twenty-three billion, four hundred forty-two million, three hundred fifty thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 53 89 106 178 212 356 424 712 848 1424 2897 4717 5794 6053 9434 11588 12106 18868 23176 24212 37736 46352 48424 75472 96848 153541 257833 307082 320809 515666 538717 614164 641618 1031332 1077434 1228328 1283236 2062664 2154868 2456656 2566472 4125328 4309736 5132944 8619472 13665149 17535541 27330298 28552001 35071082 54660596 57104002 70142164 109321192 114208004 140284328 218642384 228416008 280568656 456832016 929383673 1560663149 1858767346 3121326298 3717534692 6242652596 7435069384 12485305192 14870138768 24970610384 82715146897 165430293794 330860587588 661721175176 1323442350352