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23043261404214 = 2342343569252767
BaseRepresentation
bin1010011110101001011010…
…11010010001010000110110
310000120220200111200211010000
411033110231122101100312
511010020044404413324
6121001532251412130
74565551333112622
oct517245532212066
9100526614624100
1023043261404214
117384657365037
122701b31754046
13cb1c7c783b6c
1459942a932182
1529e61c58d9c9
hex14f52d691436

23043261404214 has 160 divisors (see below), whose sum is σ = 55229039585280. Its totient is φ = 7163623006848.

The previous prime is 23043261404203. The next prime is 23043261404299. The reversal of 23043261404214 is 41240416234032.

23043261404214 is a `hidden beast` number, since 2 + 3 + 0 + 4 + 32 + 6 + 1 + 404 + 214 = 666.

It is a super-2 number, since 2×230432614042142 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 91037659 + ... + 91290425.

It is an arithmetic number, because the mean of its divisors is an integer number (345181497408).

Almost surely, 223043261404214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23043261404214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27614519792640).

23043261404214 is an abundant number, since it is smaller than the sum of its proper divisors (32185778181066).

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

23043261404214 is a wasteful number, since it uses less digits than its factorization.

23043261404214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253416 (or 253407 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 23043261404214 its reverse (41240416234032), we get a palindrome (64283677638246).

The spelling of 23043261404214 in words is "twenty-three trillion, forty-three billion, two hundred sixty-one million, four hundred four thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 23 27 43 46 54 69 81 86 129 138 162 207 258 387 414 569 621 774 989 1138 1161 1242 1707 1863 1978 2322 2967 3414 3483 3726 5121 5934 6966 8901 10242 13087 15363 17802 24467 26174 26703 30726 39261 46089 48934 53406 73401 78522 80109 92178 117783 146802 160218 220203 235566 252767 353349 440406 505534 562741 660609 706698 758301 1060047 1125482 1321218 1516602 1688223 1981827 2120094 2274903 3376446 3963654 4549806 5064669 5813641 6824709 10129338 10868981 11627282 13649418 15194007 17440923 20474127 21737962 30388014 32606943 34881846 40948254 45582021 52322769 65213886 91164042 97820829 104645538 143824423 156968307 195641658 249986563 287648846 293462487 313936614 431473269 470904921 499973126 586924974 749959689 862946538 880387461 941809842 1294419807 1499919378 1760774922 2249879067 2588839614 3307961729 3883259421 4499758134 6184450189 6615923458 6749637201 7766518842 9923885187 11649778263 12368900378 13499274402 18553350567 19847770374 20248911603 23299556526 29771655561 37106701134 40497823206 55660051701 59543311122 89314966683 111320103402 142242354347 166980155103 178629933366 267944900049 284484708694 333960310206 426727063041 500940465309 535889800098 853454126082 1001880930618 1280181189123 2560362378246 3840543567369 7681087134738 11521630702107 23043261404214