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233130314040 = 233513149442509
BaseRepresentation
bin1101100100011110100…
…1100100100100111000
3211021202020211000110120
43121013221210210320
512304422330022130
6255033143413240
722562120654601
oct3310751444470
9737666730416
10233130314040
118a962a91528
1239222a54220
1318ca40941b0
14b3d8174da8
1560e6cd3910
hex3647a64938

233130314040 has 64 divisors (see below), whose sum is σ = 753190250400. Its totient is φ = 57385923072.

The previous prime is 233130314033. The next prime is 233130314077. The reversal of 233130314040 is 40413031332.

It is a super-2 number, since 2×2331303140402 (a number of 24 digits) contains 22 as substring.

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 233130314040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74719695 + ... + 74722814.

Almost surely, 2233130314040 is an apocalyptic number.

233130314040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233130314040 is an abundant number, since it is smaller than the sum of its proper divisors (520059936360).

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

233130314040 is a wasteful number, since it uses less digits than its factorization.

233130314040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149442536 (or 149442532 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 233130314040 its reverse (40413031332), we get a palindrome (273543345372).

The spelling of 233130314040 in words is "two hundred thirty-three billion, one hundred thirty million, three hundred fourteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 149442509 298885018 448327527 597770036 747212545 896655054 1195540072 1494425090 1793310108 1942752617 2241637635 2988850180 3586620216 3885505234 4483275270 5828257851 5977700360 7771010468 8966550540 9713763085 11656515702 15542020936 17933101080 19427526170 23313031404 29141289255 38855052340 46626062808 58282578510 77710104680 116565157020 233130314040