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23345225031414 = 23111347212317287
BaseRepresentation
bin1010100111011011110111…
…10110000101111011110110
310001122210002212112102222110
411103231323312011323312
511024442010102001124
6121352352012111450
74626431303440026
oct523557366057366
9101583085472873
1023345225031414
117490721a15530
122750564765586
1310045a3363250
145a9cb4781a86
152a73e2328029
hex153b7bd85ef6

23345225031414 has 96 divisors (see below), whose sum is σ = 56045039936256. Its totient is φ = 6391193359680.

The previous prime is 23345225031413. The next prime is 23345225031421. The reversal of 23345225031414 is 41413052254332.

It is a happy number.

It is a super-3 number, since 3×233452250314143 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23345225031413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4263322 + ... + 8053965.

It is an arithmetic number, because the mean of its divisors is an integer number (583802499336).

Almost surely, 223345225031414 is an apocalyptic number.

23345225031414 is an abundant number, since it is smaller than the sum of its proper divisors (32699814904842).

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

23345225031414 is a wasteful number, since it uses less digits than its factorization.

23345225031414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12317410 (or 12317363 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 39.

Adding to 23345225031414 its reverse (41413052254332), we get a palindrome (64758277285746).

The spelling of 23345225031414 in words is "twenty-three trillion, three hundred forty-five billion, two hundred twenty-five million, thirty-one thousand, four hundred fourteen".

Divisors: 1 2 3 6 11 13 22 26 33 39 47 66 78 94 141 143 282 286 429 517 611 858 1034 1222 1551 1833 2209 3102 3666 4418 6627 6721 13254 13442 20163 24299 28717 40326 48598 57434 72897 86151 145794 172302 315887 631774 947661 1895322 12317287 24634574 36951861 73903722 135490157 160124731 270980314 320249462 406470471 480374193 578912489 812940942 960748386 1157824978 1736737467 1761372041 3473474934 3522744082 5284116123 6368037379 7525862357 10568232246 12736074758 15051724714 19104112137 22577587071 27208886983 38208224274 45155174142 54417773966 81626660949 82784485927 163253321898 165568971854 248353457781 299297756813 353715530779 496706915562 598595513626 707431061558 897893270439 1061146592337 1795786540878 2122293184674 3890870838569 7781741677138 11672612515707 23345225031414