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40001400221321 = 711863601968371
BaseRepresentation
bin10010001100001100011010…
…10000000010111010001001
312020122002121100200121212102
421012012031100002322021
520220340331424040241
6221024220051523145
711266001662530440
oct1106061520027211
9166562540617772
1040001400221321
1111822553655080
1245a0657bb94b5
1319421676c2ba6
149c4114447d57
154957dcb0739b
hex24618d402e89

40001400221321 has 16 divisors (see below), whose sum is σ = 49929664647168. Its totient is φ = 31133804096400.

The previous prime is 40001400221311. The next prime is 40001400221339. The reversal of 40001400221321 is 12312200410004.

It is a cyclic number.

It is not a de Polignac number, because 40001400221321 - 210 = 40001400220297 is a prime.

It is a super-2 number, since 2×400014002213212 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 40001400221293 and 40001400221302.

It is not an unprimeable number, because it can be changed into a prime (40001400221311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 300917735 + ... + 301050636.

It is an arithmetic number, because the mean of its divisors is an integer number (3120604040448).

Almost surely, 240001400221321 is an apocalyptic number.

It is an amenable number.

40001400221321 is a deficient number, since it is larger than the sum of its proper divisors (9928264425847).

40001400221321 is a wasteful number, since it uses less digits than its factorization.

40001400221321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601969252.

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 40001400221321 its reverse (12312200410004), we get a palindrome (52313600631325).

The spelling of 40001400221321 in words is "forty trillion, one billion, four hundred million, two hundred twenty-one thousand, three hundred twenty-one".

Divisors: 1 7 11 77 863 6041 9493 66451 601968371 4213778597 6621652081 46351564567 519498704173 3636490929211 5714485745903 40001400221321