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420251040001 = 13300110772077
BaseRepresentation
bin1100001110110001110…
…10011111100100000001
31111011202000110210101101
412013120322133210001
523341133231240001
6521021034134401
742235132620652
oct6073072374401
91434660423341
10420251040001
111522558354a1
1269545281401
1330825030b50
14164a9955529
15ade9701a01
hex61d8e9f901

420251040001 has 8 divisors (see below), whose sum is σ = 452728894184. Its totient is φ = 387794736000.

The previous prime is 420251039977. The next prime is 420251040007. The reversal of 420251040001 is 100040152024.

It can be written as a sum of positive squares in 4 ways, for example, as 3451680001 + 416799360000 = 58751^2 + 645600^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 420251040001 - 25 = 420251039969 is a prime.

It is a super-2 number, since 2×4202510400012 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (420251040007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5347026 + ... + 5425051.

It is an arithmetic number, because the mean of its divisors is an integer number (56591111773).

Almost surely, 2420251040001 is an apocalyptic number.

It is an amenable number.

420251040001 is a deficient number, since it is larger than the sum of its proper divisors (32477854183).

420251040001 is a wasteful number, since it uses less digits than its factorization.

420251040001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10775091.

The product of its (nonzero) digits is 320, while the sum is 19.

Adding to 420251040001 its reverse (100040152024), we get a palindrome (520291192025).

The spelling of 420251040001 in words is "four hundred twenty billion, two hundred fifty-one million, forty thousand, one".

Divisors: 1 13 3001 39013 10772077 140037001 32327003077 420251040001