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114241020321504 = 25317101693075497
BaseRepresentation
bin11001111110011011001111…
…011011110101111011100000
3112222111100001010111102000110
4121332123033123311323200
5104433211102200242004
61042545333351451320
733030432660460026
oct3176331733657340
9488440033442013
10114241020321504
113344538779470a
1210990812686b40
134b98b6097233b
14202d41b24a716
15d31a0eec1589
hex67e6cf6f5ee0

114241020321504 has 96 divisors (see below), whose sum is σ = 320666626810656. Its totient is φ = 35485465395200.

The previous prime is 114241020321503. The next prime is 114241020321511. The reversal of 114241020321504 is 405123020142411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114241020321503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 346372917 + ... + 346702580.

It is an arithmetic number, because the mean of its divisors is an integer number (3340277362611).

Almost surely, 2114241020321504 is an apocalyptic number.

It is an amenable number.

114241020321504 is an abundant number, since it is smaller than the sum of its proper divisors (206425606489152).

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

114241020321504 is a wasteful number, since it uses less digits than its factorization.

114241020321504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693075628 (or 693075620 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 114241020321504 its reverse (405123020142411), we get a palindrome (519364040463915).

The spelling of 114241020321504 in words is "one hundred fourteen trillion, two hundred forty-one billion, twenty million, three hundred twenty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 101 102 136 202 204 272 303 404 408 544 606 808 816 1212 1616 1632 1717 2424 3232 3434 4848 5151 6868 9696 10302 13736 20604 27472 41208 54944 82416 164832 693075497 1386150994 2079226491 2772301988 4158452982 5544603976 8316905964 11089207952 11782283449 16633811928 22178415904 23564566898 33267623856 35346850347 47129133796 66535247712 70000625197 70693700694 94258267592 140001250394 141387401388 188516535184 210001875591 280002500788 282774802776 377033070368 420003751182 560005001576 565549605552 840007502364 1120010003152 1131099211104 1190010628349 1680015004728 2240020006304 2380021256698 3360030009456 3570031885047 4760042513396 6720060018912 7140063770094 9520085026792 14280127540188 19040170053584 28560255080376 38080340107168 57120510160752 114241020321504