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40202412221344 = 255397244373737
BaseRepresentation
bin10010010010000010110100…
…11111111110001110100000
312021100022110020020020102011
421021001122133332032200
520232134020012040334
6221300422212402304
711316346152405022
oct1111013237761640
9167308406206364
1040202412221344
111189a82469592a
1246135b6616394
1319580c0591239
149cdb42abc012
1549ab54d2d564
hex24905a7fe3a0

40202412221344 has 48 divisors (see below), whose sum is σ = 81473226754248. Its totient is φ = 19518619041792.

The previous prime is 40202412221333. The next prime is 40202412221347. The reversal of 40202412221344 is 44312221420204.

It can be written as a sum of positive squares in 4 ways, for example, as 40126903776400 + 75508444944 = 6334580^2 + 274788^2 .

It is not an unprimeable number, because it can be changed into a prime (40202412221347) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122022357 + ... + 122351380.

Almost surely, 240202412221344 is an apocalyptic number.

It is an amenable number.

40202412221344 is an abundant number, since it is smaller than the sum of its proper divisors (41270814532904).

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

40202412221344 is a wasteful number, since it uses less digits than its factorization.

40202412221344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244373897 (or 244373889 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 40202412221344 its reverse (44312221420204), we get a palindrome (84514633641548).

The spelling of 40202412221344 in words is "forty trillion, two hundred two billion, four hundred twelve million, two hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 53 97 106 194 212 388 424 776 848 1552 1696 3104 5141 10282 20564 41128 82256 164512 244373737 488747474 977494948 1954989896 3909979792 7819959584 12951808061 23704252489 25903616122 47408504978 51807232244 94817009956 103614464488 189634019912 207228928976 379268039824 414457857952 758536079648 1256325381917 2512650763834 5025301527668 10050603055336 20101206110672 40202412221344