Search a number
-
+
1400363673201 = 321308171189417
BaseRepresentation
bin10100011000001100001…
…011011110011001110001
311221212120202022022022200
4110120030023132121301
5140420421100020301
62551152421253413
7203113213552533
oct24301413363161
94855522268280
101400363673201
1149a988871359
121a7496b64269
13a209106980c
144bac6a35853
1526660049c86
hex1460c2de671

1400363673201 has 12 divisors (see below), whose sum is σ = 2022764691012. Its totient is φ = 933567860736.

The previous prime is 1400363673179. The next prime is 1400363673211. The reversal of 1400363673201 is 1023763630041.

1400363673201 is a `hidden beast` number, since 14 + 0 + 0 + 3 + 636 + 7 + 3 + 2 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1260682085601 + 139681587600 = 1122801^2 + 373740^2 .

It is not a de Polignac number, because 1400363673201 - 25 = 1400363673169 is a prime.

It is a super-2 number, since 2×14003636732012 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1400363673211) 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 11 ways as a sum of consecutive naturals, for example, 582645 + ... + 1772061.

It is an arithmetic number, because the mean of its divisors is an integer number (168563724251).

Almost surely, 21400363673201 is an apocalyptic number.

It is an amenable number.

1400363673201 is a deficient number, since it is larger than the sum of its proper divisors (622401017811).

1400363673201 is a wasteful number, since it uses less digits than its factorization.

1400363673201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320240 (or 1320237 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 1400363673201 in words is "one trillion, four hundred billion, three hundred sixty-three million, six hundred seventy-three thousand, two hundred one".

Divisors: 1 3 9 130817 392451 1177353 1189417 3568251 10704753 155595963689 466787891067 1400363673201