Search a number
-
+
32231314412430 = 2357811118922753
BaseRepresentation
bin1110101010000011100000…
…00010111101001110001110
311020010021122201102021012120
413111001300002331032032
513211034212442144210
6152314510022513410
76534431006065320
oct725016002751616
9136107581367176
1032231314412430
11a2a7250798631
123746789b95866
1314ca52779a8c3
147d600ab59610
153ad625440270
hex1d50700bd38e

32231314412430 has 64 divisors (see below), whose sum is σ = 88416795138048. Its totient is φ = 7366248898560.

The previous prime is 32231314412413. The next prime is 32231314412471. The reversal of 32231314412430 is 3421441313223.

It is a super-2 number, since 2×322313144124302 (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 32231314412391 and 32231314412400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7758067 + ... + 11164686.

It is an arithmetic number, because the mean of its divisors is an integer number (1381512424032).

Almost surely, 232231314412430 is an apocalyptic number.

32231314412430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

32231314412430 is an abundant number, since it is smaller than the sum of its proper divisors (56185480725618).

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

32231314412430 is a wasteful number, since it uses less digits than its factorization.

32231314412430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18930881.

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 32231314412430 its reverse (3421441313223), we get a palindrome (35652755725653).

The spelling of 32231314412430 in words is "thirty-two trillion, two hundred thirty-one billion, three hundred fourteen million, four hundred twelve thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 8111 16222 24333 40555 48666 56777 81110 113554 121665 170331 243330 283885 340662 567770 851655 1703310 18922753 37845506 56768259 94613765 113536518 132459271 189227530 264918542 283841295 397377813 567682590 662296355 794755626 1324592710 1986889065 3973778130 153482449583 306964899166 460447348749 767412247915 920894697498 1074377147081 1534824495830 2148754294162 2302236743745 3223131441243 4604473487490 5371885735405 6446262882486 10743771470810 16115657206215 32231314412430