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40243000414240 = 2551319798211149
BaseRepresentation
bin10010010011001110011011…
…01111101001000000100000
312021111012012220002001212201
421021213031233221000200
520233320131101223430
6221331213522302544
711322314031350641
oct1111471557510040
9167435186061781
1040243000414240
1111905a626679a8
12461b4434b7a54
13195bb8b467120
149d1ab343b6c8
1549bc2d29e8ca
hex2499cdbe9020

40243000414240 has 96 divisors (see below), whose sum is σ = 102907214348400. Its totient is φ = 14783527686144.

The previous prime is 40243000414237. The next prime is 40243000414241. The reversal of 40243000414240 is 4241400034204.

It can be written as a sum of positive squares in 8 ways, for example, as 35174720765584 + 5068279648656 = 5930828^2 + 2251284^2 .

It is a junction number, because it is equal to n+sod(n) for n = 40243000414199 and 40243000414208.

It is not an unprimeable number, because it can be changed into a prime (40243000414241) 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, 48695815 + ... + 49515334.

Almost surely, 240243000414240 is an apocalyptic number.

40243000414240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40243000414240 is an abundant number, since it is smaller than the sum of its proper divisors (62664213934160).

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

40243000414240 is a wasteful number, since it uses less digits than its factorization.

40243000414240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98211374 (or 98211366 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 40243000414240 its reverse (4241400034204), we get a palindrome (44484400448444).

The spelling of 40243000414240 in words is "forty trillion, two hundred forty-three billion, four hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 197 208 260 394 416 520 788 985 1040 1576 1970 2080 2561 3152 3940 5122 6304 7880 10244 12805 15760 20488 25610 31520 40976 51220 81952 102440 204880 409760 98211149 196422298 392844596 491055745 785689192 982111490 1276744937 1571378384 1964222980 2553489874 3142756768 3928445960 5106979748 6383724685 7856891920 10213959496 12767449370 15713783840 19347596353 20427918992 25534898740 38695192706 40855837984 51069797480 77390385412 96737981765 102139594960 154780770824 193475963530 204279189920 251518752589 309561541648 386951927060 503037505178 619123083296 773903854120 1006075010356 1257593762945 1547807708240 2012150020712 2515187525890 3095615416480 4024300041424 5030375051780 8048600082848 10060750103560 20121500207120 40243000414240