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40001144203131 = 341607824364997
BaseRepresentation
bin10010001100001011111011…
…11111011010011101111011
312020122001221111221112221020
421012011331333122131323
520220334320404000011
6221024134424313523
711265662433441636
oct1106057577323573
9166561844845836
1040001144203131
11118224320908a1
1245a05a63128a3
131942126654137
149c40cc442c1d
154957c53d5006
hex24617dfda77b

40001144203131 has 32 divisors (see below), whose sum is σ = 54733199689728. Its totient is φ = 25970592111360.

The previous prime is 40001144203081. The next prime is 40001144203193. The reversal of 40001144203131 is 13130244110004.

It is not a de Polignac number, because 40001144203131 - 219 = 40001143678843 is a prime.

It is a super-2 number, since 2×400011442031312 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40001144207131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 615398125 + ... + 615463121.

It is an arithmetic number, because the mean of its divisors is an integer number (1710412490304).

Almost surely, 240001144203131 is an apocalyptic number.

40001144203131 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

40001144203131 is a deficient number, since it is larger than the sum of its proper divisors (14732055486597).

40001144203131 is a wasteful number, since it uses less digits than its factorization.

40001144203131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73891.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 40001144203131 its reverse (13130244110004), we get a palindrome (53131388313135).

The spelling of 40001144203131 in words is "forty trillion, one billion, one hundred forty-four million, two hundred three thousand, one hundred thirty-one".

Divisors: 1 3 41 123 607 1821 8243 24729 24887 64997 74661 194991 337963 1013889 2664877 5003501 7994631 15010503 39453179 118359537 205143541 535770271 615430623 1607310813 1617580339 4852741017 21966581111 65899743333 325212554497 975637663491 13333714734377 40001144203131