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1000404004120 = 23517732359769
BaseRepresentation
bin11101000111011001011…
…10011010110100011000
310112122012212121221221121
432203230232122310120
5112342311411112440
62043325041415024
7132163641505423
oct16435456326430
93478185557847
101000404004120
113562a5a861a4
12141a7533a474
1373450bac831
14365c3d709ba
151b051e6b34a
hexe8ecb9ad18

1000404004120 has 192 divisors, whose sum is σ = 2426292792000. Its totient is φ = 369947049984.

The previous prime is 1000404004087. The next prime is 1000404004139. The reversal of 1000404004120 is 214004040001.

It is a junction number, because it is equal to n+sod(n) for n = 1000404004094 and 1000404004103.

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, 1300915096 + ... + 1300915864.

It is an arithmetic number, because the mean of its divisors is an integer number (12636941625).

Almost surely, 21000404004120 is an apocalyptic number.

1000404004120 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 1000404004120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213146396000).

1000404004120 is an abundant number, since it is smaller than the sum of its proper divisors (1425888787880).

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

1000404004120 is a wasteful number, since it uses less digits than its factorization.

1000404004120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 1000404004120 its reverse (214004040001), we get a palindrome (1214408044121).

The spelling of 1000404004120 in words is "one trillion, four hundred four million, four thousand, one hundred twenty".