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40242252645 = 32571011264883
BaseRepresentation
bin100101011110101000…
…000000101101100101
310211212112220020122200
4211132220000231211
51124404004041040
630253111045113
72623145334510
oct453650005545
9124775806580
1040242252645
1116080780041
127971070799
133a4431181a
141d3a82bd77
1510a7dda630
hex95ea00b65

40242252645 has 48 divisors (see below), whose sum is σ = 80507336832. Its totient is φ = 18214300800.

The previous prime is 40242252641. The next prime is 40242252647. The reversal of 40242252645 is 54625224204.

40242252645 is a `hidden beast` number, since 4 + 0 + 2 + 4 + 2 + 2 + 5 + 2 + 645 = 666.

It is not a de Polignac number, because 40242252645 - 22 = 40242252641 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40242252641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 600627 + ... + 664256.

It is an arithmetic number, because the mean of its divisors is an integer number (1677236184).

Almost surely, 240242252645 is an apocalyptic number.

40242252645 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40242252645 is an abundant number, since it is smaller than the sum of its proper divisors (40265084187).

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

40242252645 is a wasteful number, since it uses less digits than its factorization.

40242252645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265002 (or 1264999 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 40242252645 its reverse (54625224204), we get a palindrome (94867476849).

The spelling of 40242252645 in words is "forty billion, two hundred forty-two million, two hundred fifty-two thousand, six hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 101 105 303 315 505 707 909 1515 2121 3535 4545 6363 10605 31815 1264883 3794649 6324415 8854181 11383947 18973245 26562543 44270905 56919735 79687629 127753183 132812715 383259549 398438145 638765915 894272281 1149778647 1916297745 2682816843 4471361405 5748893235 8048450529 13414084215 40242252645