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1414426656144 = 24329467222003
BaseRepresentation
bin10100100101010010011…
…001011111110110010000
312000012212211021212020210
4110211102121133312100
5141133221210444034
63001440104004120
7204121545131025
oct24452231376620
95005784255223
101414426656144
114a5944a78607
121aa160760640
13a34c272b2b8
144c65c62554c
1526bd496e8e9
hex1495265fd90

1414426656144 has 20 divisors (see below), whose sum is σ = 3653935528496. Its totient is φ = 471475552032.

The previous prime is 1414426656109. The next prime is 1414426656179. The reversal of 1414426656144 is 4416566244141.

It is an interprime number because it is at equal distance from previous prime (1414426656109) and next prime (1414426656179).

It is a super-2 number, since 2×14144266561442 (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 29467222003 = 1414426656144 / (1 + 4 + 1 + 4 + 4 + 2 + 6 + 6 + 5 + 6 + 1 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 1414426656093 and 1414426656102.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14733610954 + ... + 14733611049.

Almost surely, 21414426656144 is an apocalyptic number.

It is an amenable number.

1414426656144 is an abundant number, since it is smaller than the sum of its proper divisors (2239508872352).

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

1414426656144 is a wasteful number, since it uses less digits than its factorization.

1414426656144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29467222014 (or 29467222008 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 48.

The spelling of 1414426656144 in words is "one trillion, four hundred fourteen billion, four hundred twenty-six million, six hundred fifty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 29467222003 58934444006 88401666009 117868888012 176803332018 235737776024 353606664036 471475552048 707213328072 1414426656144