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404403414422040 = 23325112572467161071
BaseRepresentation
bin101101111110011011000000…
…1110111001101001000011000
31222000212120220021100210120100
41123330312001313031020120
5411001221143043001130
63552032210332055400
7151116116413641615
oct13374660167151030
91860776807323510
10404403414422040
11107945585736460
1239434111304560
1314486103189b97
1471c13303cd50c
1531b46da637c60
hex16fcd81dcd218

404403414422040 has 384 divisors, whose sum is σ = 1439965279134720. Its totient is φ = 97615532851200.

The previous prime is 404403414422027. The next prime is 404403414422107. The reversal of 404403414422040 is 40224414304404.

It is a happy number.

404403414422040 is a `hidden beast` number, since 4 + 0 + 4 + 4 + 0 + 3 + 4 + 1 + 442 + 204 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 404403414421986 and 404403414422004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2510634705 + ... + 2510795775.

It is an arithmetic number, because the mean of its divisors is an integer number (3749909581080).

Almost surely, 2404403414422040 is an apocalyptic number.

404403414422040 is a gapful number since it is divisible by the number (40) 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 404403414422040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719982639567360).

404403414422040 is an abundant number, since it is smaller than the sum of its proper divisors (1035561864712680).

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

404403414422040 is a wasteful number, since it uses less digits than its factorization.

404403414422040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163823 (or 163816 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 404403414422040 its reverse (40224414304404), we get a palindrome (444627828726444).

The spelling of 404403414422040 in words is "four hundred four trillion, four hundred three billion, four hundred fourteen million, four hundred twenty-two thousand, forty".