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614452130105640 = 2335209917333140741
BaseRepresentation
bin1000101110110101110100100…
…0111100100100100100101000
32222120121001100102101020200220
42023231131020330210210220
51121014140430301340030
610014455224532530040
7243265462406260101
oct21355351074444450
92876531312336626
10614452130105640
1116886875978a962
1258ab8b33180920
13204b178323a858
14aba38db0753a8
154b0849b36ba10
hex22ed748f24928

614452130105640 has 128 divisors (see below), whose sum is σ = 1844354101968000. Its totient is φ = 163765226132480.

The previous prime is 614452130105507. The next prime is 614452130105689. The reversal of 614452130105640 is 46501031254416.

It is a junction number, because it is equal to n+sod(n) for n = 614452130105592 and 614452130105601.

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 31 ways as a sum of consecutive naturals, for example, 4365765670 + ... + 4365906410.

It is an arithmetic number, because the mean of its divisors is an integer number (14409016421625).

Almost surely, 2614452130105640 is an apocalyptic number.

614452130105640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

614452130105640 is an abundant number, since it is smaller than the sum of its proper divisors (1229901971862360).

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

614452130105640 is a wasteful number, since it uses less digits than its factorization.

614452130105640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160187 (or 160183 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 614452130105640 in words is "six hundred fourteen trillion, four hundred fifty-two billion, one hundred thirty million, one hundred five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2099 4198 6297 8396 10495 12594 16792 17333 20990 25188 31485 34666 41980 50376 51999 62970 69332 83960 86665 103998 125940 138664 140741 173330 207996 251880 259995 281482 346660 415992 422223 519990 562964 693320 703705 844446 1039980 1125928 1407410 1688892 2079960 2111115 2814820 3377784 4222230 5629640 8444460 16888920 36381967 72763934 109145901 145527868 181909835 218291802 291055736 295415359 363819670 436583604 545729505 590830718 727639340 873167208 886246077 1091459010 1181661436 1455278680 1477076795 1772492154 2182918020 2363322872 2439463753 2954153590 3544984308 4365836040 4431230385 4878927506 5908307180 7089968616 7318391259 8862460770 9757855012 11816614360 12197318765 14636782518 17724921540 19515710024 24394637530 29273565036 35449843080 36591956295 48789275060 58547130072 73183912590 97578550120 146367825180 292735650360 5120434417547 10240868835094 15361303252641 20481737670188 25602172087735 30722606505282 40963475340376 51204344175470 61445213010564 76806516263205 102408688350940 122890426021128 153613032526410 204817376701880 307226065052820 614452130105640