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104420035440 = 2436573137223
BaseRepresentation
bin110000100111111101…
…0110100101101110000
3100222112012201102000000
41201033322310231300
53202323012113230
6115545255430000
710354424441130
oct1411772645560
9328465642000
10104420035440
114031442a156
12182a2085300
139b01469026
1450a80b2ac0
152ab22ceb60
hex184feb4b70

104420035440 has 1120 divisors, whose sum is σ = 443000979456. Its totient is φ = 22372485120.

The previous prime is 104420035373. The next prime is 104420035487. The reversal of 104420035440 is 44530024401.

It is a happy number.

104420035440 is a `hidden beast` number, since 10 + 4 + 4 + 200 + 3 + 5 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 468251169 + ... + 468251391.

Almost surely, 2104420035440 is an apocalyptic number.

104420035440 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 104420035440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221500489728).

104420035440 is an abundant number, since it is smaller than the sum of its proper divisors (338580944016).

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

104420035440 is a wasteful number, since it uses less digits than its factorization.

104420035440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 104420035440 its reverse (44530024401), we get a palindrome (148950059841).

The spelling of 104420035440 in words is "one hundred four billion, four hundred twenty million, thirty-five thousand, four hundred forty".