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1410202414440 = 2332541123777237
BaseRepresentation
bin10100100001010110100…
…111010010110101101000
311222210222102122011000100
4110201112213102311220
5141101043304230230
62555501003505400
7203612062513401
oct24412647226550
94883872564010
101410202414440
114a4077554266
121a9381b28260
13a2c9b5155b1
144c37b5bc9a8
1526a38ba2660
hex148569d2d68

1410202414440 has 192 divisors, whose sum is σ = 4698798446160. Its totient is φ = 366580592640.

The previous prime is 1410202414409. The next prime is 1410202414457. The reversal of 1410202414440 is 444142020141.

It is a happy number.

1410202414440 is a `hidden beast` number, since 1 + 4 + 1 + 0 + 202 + 4 + 14 + 440 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 48411440676 + 1361790973764 = 220026^2 + 1166958^2 .

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 18219502 + ... + 18296738.

Almost surely, 21410202414440 is an apocalyptic number.

1410202414440 is a gapful number since it is divisible by the number (10) 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 1410202414440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2349399223080).

1410202414440 is an abundant number, since it is smaller than the sum of its proper divisors (3288596031720).

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

1410202414440 is a wasteful number, since it uses less digits than its factorization.

1410202414440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78532 (or 78525 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 1410202414440 its reverse (444142020141), we get a palindrome (1854344434581).

The spelling of 1410202414440 in words is "one trillion, four hundred ten billion, two hundred two million, four hundred fourteen thousand, four hundred forty".