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1414140664400 = 24523535351661
BaseRepresentation
bin10100100101000001010…
…110100001101001010000
312000012010220010222022222
4110211001112201221100
5141132130002230100
63001351450120212
7204111503213612
oct24450126415120
95005126128288
101414140664400
114a58085a17a2
121aa0a0a20068
13a34783c6609
144c63265adb2
1526bb97cb485
hex149415a1a50

1414140664400 has 30 divisors (see below), whose sum is σ = 3397472947182. Its totient is φ = 565656265600.

The previous prime is 1414140664373. The next prime is 1414140664403. The reversal of 1414140664400 is 44660414141.

It can be written as a sum of positive squares in 3 ways, for example, as 253246471696 + 1160894192704 = 503236^2 + 1077448^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1414140664403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1767675431 + ... + 1767676230.

Almost surely, 21414140664400 is an apocalyptic number.

1414140664400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1414140664400 is an abundant number, since it is smaller than the sum of its proper divisors (1983332282782).

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

1414140664400 is a wasteful number, since it uses less digits than its factorization.

1414140664400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3535351679 (or 3535351668 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The spelling of 1414140664400 in words is "one trillion, four hundred fourteen billion, one hundred forty million, six hundred sixty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 3535351661 7070703322 14141406644 17676758305 28282813288 35353516610 56565626576 70707033220 88383791525 141414066440 176767583050 282828132880 353535166100 707070332200 1414140664400