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404024120104 = 231117215886447
BaseRepresentation
bin1011110000100011011…
…01101101001100101000
31102121212010122212000011
411320101231231030220
523104420133320404
6505334531021304
741122044233413
oct5702155551450
91377763585004
10404024120104
111463890a03a0
1266376a3a834
132c13a2565b7
14157aa7d4b7a
15a799d35604
hex5e11b6d328

404024120104 has 48 divisors (see below), whose sum is σ = 877885116480. Its totient is φ = 172844532480.

The previous prime is 404024120077. The next prime is 404024120107. The reversal of 404024120104 is 401021420404.

It is a super-2 number, since 2×4040241201042 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (404024120107) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 7917792 + ... + 7968655.

It is an arithmetic number, because the mean of its divisors is an integer number (18289273260).

Almost surely, 2404024120104 is an apocalyptic number.

404024120104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

404024120104 is an abundant number, since it is smaller than the sum of its proper divisors (473860996376).

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

404024120104 is a wasteful number, since it uses less digits than its factorization.

404024120104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15886498 (or 15886477 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 404024120104 its reverse (401021420404), we get a palindrome (805045540508).

The spelling of 404024120104 in words is "four hundred four billion, twenty-four million, one hundred twenty thousand, one hundred four".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 187 289 374 578 748 1156 1496 2312 3179 6358 12716 25432 15886447 31772894 63545788 127091576 174750917 270069599 349501834 540139198 699003668 1080278396 1398007336 2160556792 2970765589 4591183183 5941531178 9182366366 11883062356 18364732732 23766124712 36729465464 50503015013 101006030026 202012060052 404024120104