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23414345115414 = 231123109267752861
BaseRepresentation
bin1010101001011100100111…
…01110010010011100010110
310001220101111222011112000120
411110232103232102130112
511032110034322143124
6121444222431252410
74634426204446641
oct524562356223426
9101811458145016
1023414345115414
117507a714526a0
122761a3497a106
13100ac6a3c6936
145ad390588a58
152a90da577d79
hex154b93b92716

23414345115414 has 128 divisors (see below), whose sum is σ = 53817135989760. Its totient is φ = 6721863667200.

The previous prime is 23414345115407. The next prime is 23414345115451. The reversal of 23414345115414 is 41451154341432.

It is a super-2 number, since 2×234143451154142 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 442915344 + ... + 442968204.

It is an arithmetic number, because the mean of its divisors is an integer number (420446374920).

Almost surely, 223414345115414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23414345115414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26908567994880).

23414345115414 is an abundant number, since it is smaller than the sum of its proper divisors (30402790874346).

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

23414345115414 is a wasteful number, since it uses less digits than its factorization.

23414345115414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55686.

The product of its digits is 460800, while the sum is 42.

Adding to 23414345115414 its reverse (41451154341432), we get a palindrome (64865499456846).

The spelling of 23414345115414 in words is "twenty-three trillion, four hundred fourteen billion, three hundred forty-five million, one hundred fifteen thousand, four hundred fourteen".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 109 138 218 253 327 506 654 759 1199 1518 2398 2507 2677 3597 5014 5354 7194 7521 8031 15042 16062 27577 29447 52861 55154 58894 61571 82731 88341 105722 123142 158583 165462 176682 184713 291793 317166 369426 581471 583586 677281 875379 1162942 1215803 1354562 1744413 1750758 2031843 2431606 3209723 3488826 3647409 4063686 5761849 6419446 6711239 7294818 9629169 11523698 13373833 13422478 17285547 19258338 20133717 26747666 34571094 40121499 40267434 63380339 73823629 80242998 126760678 132522527 141508897 147647258 190141017 221470887 265045054 283017794 380282034 397567581 424526691 442941774 795135162 849053382 1457747797 1556597867 2915495594 3113195734 3254704631 4373243391 4669793601 6509409262 8746486782 9339587202 9764113893 15424469773 19528227786 30848939546 35801750941 46273409319 71603501882 92546818638 107405252823 169669167503 214810505646 339338335006 354762804779 509007502509 709525609558 1018015005018 1064288414337 2128576828674 3902390852569 7804781705138 11707172557707 23414345115414