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263011042311140 = 225235945192144479
BaseRepresentation
bin111011110011010100000111…
…101111111011101111100100
31021111020121110202100101012102
4323303110013233323233210
5233433133103312424030
62331213334350311232
7106253630545645304
oct7363240757735744
91244217422311172
10263011042311140
11768923a1778a02
12255b9375ab8518
13b39aab128a386
1448d3b339b9604
1520617c29d1c45
hexef3507bfbbe4

263011042311140 has 96 divisors (see below), whose sum is σ = 586235639808000. Its totient is φ = 98902776373632.

The previous prime is 263011042311107. The next prime is 263011042311223. The reversal of 263011042311140 is 41113240110362.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121573421 + ... + 123717899.

It is an arithmetic number, because the mean of its divisors is an integer number (6106621248000).

Almost surely, 2263011042311140 is an apocalyptic number.

263011042311140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 263011042311140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293117819904000).

263011042311140 is an abundant number, since it is smaller than the sum of its proper divisors (323224597496860).

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

263011042311140 is a wasteful number, since it uses less digits than its factorization.

263011042311140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2149089 (or 2149087 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The spelling of 263011042311140 in words is "two hundred sixty-three trillion, eleven billion, forty-two million, three hundred eleven thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 46 59 92 115 118 230 236 295 460 590 1180 1357 2714 4519 5428 6785 9038 13570 18076 22595 27140 45190 90380 103937 207874 266621 415748 519685 533242 1039370 1066484 1333105 2078740 2144479 2666210 4288958 5332420 6132283 8577916 10722395 12264566 21444790 24529132 30661415 42889580 49323017 61322830 98646034 122645660 126524261 197292068 246615085 253048522 493230170 506097044 632621305 986460340 1265242610 2530485220 2910058003 5820116006 9690900601 11640232012 14550290015 19381801202 29100580030 38763602404 48454503005 58201160060 96909006010 193818012020 222890713823 445781427646 571763135459 891562855292 1114453569115 1143526270918 2228907138230 2287052541836 2858815677295 4457814276460 5717631354590 11435262709180 13150552115557 26301104231114 52602208462228 65752760577785 131505521155570 263011042311140