Search a number
-
+
256232074075340 = 2251112720353450587
BaseRepresentation
bin111010010000101010101101…
…110000010101110011001100
31020121020112202210122101222012
4322100222231300111303030
5232041101241430402330
62304543220110440352
7104654104442453636
oct7220525560256314
91217215683571865
10256232074075340
117470945994a570
12248a35ab2030b8
13acc87723379cc
14473b9acba5a56
151e952b6d7ac95
hexe90aadc15ccc

256232074075340 has 96 divisors (see below), whose sum is σ = 591656851021824. Its totient is φ = 92436888821760.

The previous prime is 256232074075333. The next prime is 256232074075391. The reversal of 256232074075340 is 43570470232652.

It is a super-2 number, since 2×2562320740753402 (a number of 30 digits) contains 22 as substring.

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, 568437527 + ... + 568888113.

It is an arithmetic number, because the mean of its divisors is an integer number (6163092198144).

Almost surely, 2256232074075340 is an apocalyptic number.

256232074075340 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 256232074075340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295828425510912).

256232074075340 is an abundant number, since it is smaller than the sum of its proper divisors (335424776946484).

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

256232074075340 is a wasteful number, since it uses less digits than its factorization.

256232074075340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471087 (or 471085 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 50.

The spelling of 256232074075340 in words is "two hundred fifty-six trillion, two hundred thirty-two billion, seventy-four million, seventy-five thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 127 220 254 508 635 1270 1397 2540 2794 5588 6985 13970 20353 27940 40706 81412 101765 203530 223883 407060 447766 450587 895532 901174 1119415 1802348 2238830 2252935 2584831 4477660 4505870 4956457 5169662 9011740 9912914 10339324 12924155 19825828 24782285 25848310 28433141 49564570 51696620 56866282 57224549 99129140 113732564 114449098 142165705 228898196 284331410 286122745 568662820 572245490 629470039 1144490980 1258940078 2517880156 3147350195 6294700390 9170797211 12589400780 18341594422 36683188844 45853986055 91707972110 100878769321 183415944220 201757538642 403515077284 504393846605 1008787693210 1164691245797 2017575386420 2329382491594 4658764983188 5823456228985 11646912457970 12811603703767 23293824915940 25623207407534 51246414815068 64058018518835 128116037037670 256232074075340