Search a number
-
+
231324014143332 = 22321115137611028597
BaseRepresentation
bin110100100110001101010001…
…101100001110011101100100
31010100001100201021112010222200
4310212031101230032131210
5220310003040110041312
62135552441322454500
766503415500363205
oct6446152154163544
91110040637463880
10231324014143332
1167785a66419940
1221b40188364430
139c0c9b7a04316
14411a1db9d75ac
151bb24061250dc
hexd26351b0e764

231324014143332 has 144 divisors (see below), whose sum is σ = 642289308845184. Its totient is φ = 69615377280000.

The previous prime is 231324014143303. The next prime is 231324014143357. The reversal of 231324014143332 is 233341410423132.

231324014143332 is a `hidden beast` number, since 2 + 3 + 1 + 3 + 240 + 1 + 41 + 43 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 224378458 + ... + 225407054.

It is an arithmetic number, because the mean of its divisors is an integer number (4460342422536).

Almost surely, 2231324014143332 is an apocalyptic number.

231324014143332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231324014143332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321144654422592).

231324014143332 is an abundant number, since it is smaller than the sum of its proper divisors (410965294701852).

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

231324014143332 is a wasteful number, since it uses less digits than its factorization.

231324014143332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032530 (or 1032525 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 231324014143332 its reverse (233341410423132), we get a palindrome (464665424566464).

The spelling of 231324014143332 in words is "two hundred thirty-one trillion, three hundred twenty-four billion, fourteen million, one hundred forty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 151 198 302 396 453 604 906 1359 1661 1812 2718 3322 3761 4983 5436 6644 7522 9966 11283 14949 15044 19932 22566 29898 33849 41371 45132 59796 67698 82742 124113 135396 165484 248226 372339 496452 567911 744678 1028597 1135822 1489356 1703733 2057194 2271644 3085791 3407466 4114388 5111199 6171582 6247021 6814932 9257373 10222398 11314567 12343164 12494042 18514746 18741063 20444796 22629134 24988084 33943701 37029492 37482126 45258268 56223189 67887402 74964252 101831103 112446378 135774804 155318147 203662206 224892756 310636294 407324412 465954441 621272588 931908882 1397863323 1708499617 1863817764 2795726646 3416999234 3868553317 5125498851 5591453292 6833998468 7737106634 10250997702 11605659951 15376496553 15474213268 20501995404 23211319902 30752993106 34816979853 42554086487 46422639804 61505986212 69633959706 85108172974 127662259461 139267919412 170216345948 255324518922 382986778383 510649037844 584151550867 765973556766 1168303101734 1531947113532 1752454652601 2336606203468 3504909305202 5257363957803 6425667059537 7009818610404 10514727915606 12851334119074 19277001178611 21029455831212 25702668238148 38554002357222 57831003535833 77108004714444 115662007071666 231324014143332