Search a number
-
+
231354336040 = 23573421188197
BaseRepresentation
bin1101011101110111001…
…0110000001100101000
3211010011110222222122121
43113131302300030220
512242303202223130
6254141022201024
722500114260302
oct3273562601450
9733143888577
10231354336040
118a131544a13
1238a08123174
1318a80165139
14b2aa352972
156040e22d7a
hex35ddcb0328

231354336040 has 64 divisors (see below), whose sum is σ = 528934242960. Its totient is φ = 91056752640.

The previous prime is 231354336001. The next prime is 231354336061. The reversal of 231354336040 is 40633453132.

231354336040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 337603876 + 231016732164 = 18374^2 + 480642^2 .

It is a junction number, because it is equal to n+sod(n) for n = 231354335987 and 231354336005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1135222 + ... + 1323418.

Almost surely, 2231354336040 is an apocalyptic number.

231354336040 is a gapful number since it is divisible by the number (20) 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 231354336040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264467121480).

231354336040 is an abundant number, since it is smaller than the sum of its proper divisors (297579906920).

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

231354336040 is a wasteful number, since it uses less digits than its factorization.

231354336040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188702 (or 188698 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 34.

Adding to 231354336040 its reverse (40633453132), we get a palindrome (271987789172).

The spelling of 231354336040 in words is "two hundred thirty-one billion, three hundred fifty-four million, three hundred thirty-six thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 421 584 730 842 1460 1684 2105 2920 3368 4210 8420 16840 30733 61466 122932 153665 188197 245864 307330 376394 614660 752788 940985 1229320 1505576 1881970 3763940 7527880 13738381 27476762 54953524 68691905 79230937 109907048 137383810 158461874 274767620 316923748 396154685 549535240 633847496 792309370 1584618740 3169237480 5783858401 11567716802 23135433604 28919292005 46270867208 57838584010 115677168020 231354336040