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235340313012 = 223271496267719
BaseRepresentation
bin1101101100101101100…
…0000011000110110100
3211111110021022121010100
43123023120003012310
512323434110004022
6300040331354100
723000644440360
oct3331330030664
9744407277110
10235340313012
1190897520462
123973abb2930
1319266bb6aac
14b5678962a0
1561c5d281ac
hex36cb6031b4

235340313012 has 72 divisors (see below), whose sum is σ = 684435024000. Its totient is φ = 66788803008.

The previous prime is 235340313011. The next prime is 235340313049. The reversal of 235340313012 is 210313043532.

235340313012 is a `hidden beast` number, since 2 + 3 + 5 + 340 + 313 + 0 + 1 + 2 = 666.

It is a super-2 number, since 2×2353403130122 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235340313011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3096312 + ... + 3171407.

It is an arithmetic number, because the mean of its divisors is an integer number (9506042000).

Almost surely, 2235340313012 is an apocalyptic number.

It is an amenable number.

235340313012 is an abundant number, since it is smaller than the sum of its proper divisors (449094710988).

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

235340313012 is a wasteful number, since it uses less digits than its factorization.

235340313012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6267885 (or 6267880 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 235340313012 its reverse (210313043532), we get a palindrome (445653356544).

The spelling of 235340313012 in words is "two hundred thirty-five billion, three hundred forty million, three hundred thirteen thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 149 252 298 447 596 894 1043 1341 1788 2086 2682 3129 4172 5364 6258 9387 12516 18774 37548 6267719 12535438 18803157 25070876 37606314 43874033 56409471 75212628 87748066 112818942 131622099 175496132 225637884 263244198 394866297 526488396 789732594 933890131 1579465188 1867780262 2801670393 3735560524 5603340786 6537230917 8405011179 11206681572 13074461834 16810022358 19611692751 26148923668 33620044716 39223385502 58835078253 78446771004 117670156506 235340313012