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1418431718808 = 23331323103213229
BaseRepresentation
bin10100101001000001000…
…111100110010110011000
312000121012221112010101000
4110221001013212112120
5141214422010000213
63003341334225000
7204323026451406
oct24510107462630
95017187463330
101418431718808
114a760a7aa455
121aaa99ab5160
13a39b0403170
144c91c4d6476
1526d6b394c73
hex14a411e6598

1418431718808 has 256 divisors, whose sum is σ = 4470665472000. Its totient is φ = 413409858048.

The previous prime is 1418431718801. The next prime is 1418431718839. The reversal of 1418431718808 is 8088171348141.

1418431718808 is a `hidden beast` number, since 1 + 418 + 43 + 1 + 7 + 188 + 0 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1418431718801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6545538 + ... + 6758766.

It is an arithmetic number, because the mean of its divisors is an integer number (17463537000).

Almost surely, 21418431718808 is an apocalyptic number.

1418431718808 is a gapful number since it is divisible by the number (18) 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 1418431718808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2235332736000).

1418431718808 is an abundant number, since it is smaller than the sum of its proper divisors (3052233753192).

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

1418431718808 is a wasteful number, since it uses less digits than its factorization.

1418431718808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213383 (or 213373 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 54.

The spelling of 1418431718808 in words is "one trillion, four hundred eighteen billion, four hundred thirty-one million, seven hundred eighteen thousand, eight hundred eight".