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1414139755392 = 27337213642361
BaseRepresentation
bin10100100101000001010…
…011000011101110000000
312000012010211102210102000
4110211001103003232000
5141132124234133032
63001351414424000
7204111462406500
oct24450123035600
95005124383360
101414139755392
114a5808030851
121aa0a0662000
13a3478168940
144c6324a1a00
1526bb969be7c
hex149414c3b80

1414139755392 has 384 divisors, whose sum is σ = 5228569735200. Its totient is φ = 372959354880.

The previous prime is 1414139755351. The next prime is 1414139755471. The reversal of 1414139755392 is 2935579314141.

1414139755392 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 1 + 39 + 75 + 539 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1880292 + ... + 2522652.

Almost surely, 21414139755392 is an apocalyptic number.

1414139755392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1414139755392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2614284867600).

1414139755392 is an abundant number, since it is smaller than the sum of its proper divisors (3814429979808).

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

1414139755392 is a wasteful number, since it uses less digits than its factorization.

1414139755392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642411 (or 642386 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 54.

The spelling of 1414139755392 in words is "one trillion, four hundred fourteen billion, one hundred thirty-nine million, seven hundred fifty-five thousand, three hundred ninety-two".