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254115542402340 = 223523187049984457
BaseRepresentation
bin111001110001110111100010…
…101000110000010100100100
31020022202012122001220012201020
4321301313202220300110210
5231301412112323333330
62300243022451331140
7104345146014205653
oct7161674250602444
91208665561805636
10254115542402340
1173a728839a9013
1224601364bb0ab0
13aba3cba316298
1446a738788519a
151e5a1dd64a210
hexe71de2a30524

254115542402340 has 96 divisors (see below), whose sum is σ = 742464047404800. Its totient is φ = 64817465112576.

The previous prime is 254115542402333. The next prime is 254115542402369. The reversal of 254115542402340 is 43204245511452.

It is a junction number, because it is equal to n+sod(n) for n = 254115542402292 and 254115542402301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257635392 + ... + 258619848.

It is an arithmetic number, because the mean of its divisors is an integer number (7734000493800).

Almost surely, 2254115542402340 is an apocalyptic number.

254115542402340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

254115542402340 is an abundant number, since it is smaller than the sum of its proper divisors (488348505002460).

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

254115542402340 is a wasteful number, since it uses less digits than its factorization.

254115542402340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171541 (or 1171539 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 42.

Adding to 254115542402340 its reverse (43204245511452), we get a palindrome (297319787913792).

The spelling of 254115542402340 in words is "two hundred fifty-four trillion, one hundred fifteen billion, five hundred forty-two million, four hundred two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 187049 374098 561147 748196 935245 984457 1122294 1870490 1968914 2244588 2805735 2953371 3740980 3937828 4302127 4922285 5611470 5906742 8604254 9844570 11222940 11813484 12906381 14766855 17208508 19689140 21510635 22642511 25812762 29533710 43021270 45285022 51625524 59067420 64531905 67927533 86042540 90570044 113212555 129063810 135855066 226425110 258127620 271710132 339637665 452850220 679275330 1358550660 184141697393 368283394786 552425092179 736566789572 920708486965 1104850184358 1841416973930 2209700368716 2762125460895 3682833947860 4235259040039 5524250921790 8470518080078 11048501843580 12705777120117 16941036160156 21176295200195 25411554240234 42352590400390 50823108480468 63528885600585 84705180800780 127057771201170 254115542402340