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231342032040 = 23357239343883
BaseRepresentation
bin1101011101110100001…
…1110100010010101000
3211010010121211212201220
43113131003310102220
512242242030011130
6254135502342040
722466604553500
oct3273503642250
9733117755656
10231342032040
118a125600819
1238a03b8a920
1318a7a747972
14b2a886ca00
15603ece2410
hex35dd0f44a8

231342032040 has 96 divisors (see below), whose sum is σ = 807336499680. Its totient is φ = 52878177408.

The previous prime is 231342032029. The next prime is 231342032041. The reversal of 231342032040 is 40230243132.

231342032040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 231342032040.

It is not an unprimeable number, because it can be changed into a prime (231342032041) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 19666062 + ... + 19677821.

It is an arithmetic number, because the mean of its divisors is an integer number (8409755205).

Almost surely, 2231342032040 is an apocalyptic number.

231342032040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231342032040 is an abundant number, since it is smaller than the sum of its proper divisors (575994467640).

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

231342032040 is a wasteful number, since it uses less digits than its factorization.

231342032040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39343911 (or 39343900 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 231342032040 its reverse (40230243132), we get a palindrome (271572275172).

The spelling of 231342032040 in words is "two hundred thirty-one billion, three hundred forty-two million, thirty-two thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 392 420 490 588 735 840 980 1176 1470 1960 2940 5880 39343883 78687766 118031649 157375532 196719415 236063298 275407181 314751064 393438830 472126596 550814362 590158245 786877660 826221543 944253192 1101628724 1180316490 1377035905 1573755320 1652443086 1927850267 2203257448 2360632980 2754071810 3304886172 3855700534 4131107715 4721265960 5508143620 5783550801 6609772344 7711401068 8262215430 9639251335 11016287240 11567101602 15422802136 16524430860 19278502670 23134203204 28917754005 33048861720 38557005340 46268406408 57835508010 77114010680 115671016020 231342032040