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40244244560 = 24513596171063
BaseRepresentation
bin100101011110101111…
…100111000001010000
310211212200122110001022
4211132233213001100
51124410011311220
630253221455012
72623201302032
oct453657470120
9124780573038
1040244244560
1116081910653
127971871468
133a4485b380
141d3abc9c52
1510a8180925
hex95ebe7050

40244244560 has 160 divisors (see below), whose sum is σ = 102735924480. Its totient is φ = 14570164224.

The previous prime is 40244244553. The next prime is 40244244569. The reversal of 40244244560 is 6544244204.

40244244560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 40244244560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40244244569) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37858589 + ... + 37859651.

It is an arithmetic number, because the mean of its divisors is an integer number (642099528).

Almost surely, 240244244560 is an apocalyptic number.

40244244560 is a gapful number since it is divisible by the number (40) 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 40244244560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51367962240).

40244244560 is an abundant number, since it is smaller than the sum of its proper divisors (62491679920).

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

40244244560 is a wasteful number, since it uses less digits than its factorization.

40244244560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1765 (or 1759 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 35.

Adding to 40244244560 its reverse (6544244204), we get a palindrome (46788488764).

The spelling of 40244244560 in words is "forty billion, two hundred forty-four million, two hundred forty-four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 59 65 80 104 118 130 208 236 260 295 472 520 590 617 767 944 1040 1063 1180 1234 1534 2126 2360 2468 3068 3085 3835 4252 4720 4936 5315 6136 6170 7670 8021 8504 9872 10630 12272 12340 13819 15340 16042 17008 21260 24680 27638 30680 32084 36403 40105 42520 49360 55276 61360 62717 64168 69095 72806 80210 85040 110552 125434 128336 138190 145612 160420 182015 221104 250868 276380 291224 313585 320840 364030 473239 501736 552760 582448 627170 641680 655871 728060 815321 946478 1003472 1105520 1254340 1311742 1456120 1630642 1892956 2366195 2508680 2623484 2912240 3261284 3279355 3785912 4076605 4732390 5017360 5246968 6522568 6558710 7571824 8153210 8526323 9464780 10493936 13045136 13117420 16306420 17052646 18929560 26234840 32612840 34105292 37859120 38696389 42631615 52469680 65225680 68210584 77392778 85263230 136421168 154785556 170526460 193481945 309571112 341052920 386963890 503053057 619142224 682105840 773927780 1006106114 1547855560 2012212228 2515265285 3095711120 4024424456 5030530570 8048848912 10061061140 20122122280 40244244560