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233130404040 = 23351942753367
BaseRepresentation
bin1101100100011110100…
…1111010100011001000
3211021202020222120220220
43121013221322203020
512304422340412130
6255033145350040
722562121511152
oct3310751724310
9737666876826
10233130404040
118a963043106
1239222a98320
1318ca40c6151
14b3d8199ad2
1560e6d00410
hex3647a7a8c8

233130404040 has 32 divisors (see below), whose sum is σ = 699391212480. Its totient is φ = 62168107712.

The previous prime is 233130404027. The next prime is 233130404041. The reversal of 233130404040 is 40404031332.

233130404040 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 233130404040.

It is not an unprimeable number, because it can be changed into a prime (233130404041) 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 7 ways as a sum of consecutive naturals, for example, 971376564 + ... + 971376803.

It is an arithmetic number, because the mean of its divisors is an integer number (21855975390).

Almost surely, 2233130404040 is an apocalyptic number.

233130404040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233130404040 is an abundant number, since it is smaller than the sum of its proper divisors (466260808440).

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

233130404040 is a wasteful number, since it uses less digits than its factorization.

233130404040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1942753381 (or 1942753377 counting only the distinct ones).

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

Adding to 233130404040 its reverse (40404031332), we get a palindrome (273534435372).

The spelling of 233130404040 in words is "two hundred thirty-three billion, one hundred thirty million, four hundred four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1942753367 3885506734 5828260101 7771013468 9713766835 11656520202 15542026936 19427533670 23313040404 29141300505 38855067340 46626080808 58282601010 77710134680 116565202020 233130404040