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1004222041504 = 25116829417763
BaseRepresentation
bin11101001110100000100…
…11000100110110100000
310120000001221221100121121
432213100103010312200
5112423121320312004
62045155551302024
7132360362340643
oct16472023046640
93500057840547
101004222041504
113579851871a0
1214275bb1a914
137390bbc0c56
1436867079a5a
151b1c724b854
hexe9d04c4da0

1004222041504 has 48 divisors (see below), whose sum is σ = 2157116058720. Its totient is φ = 456396629760.

The previous prime is 1004222041441. The next prime is 1004222041507. The reversal of 1004222041504 is 4051402224001.

It is a super-2 number, since 2×10042220415042 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1004222041507) 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 7 ways as a sum of consecutive naturals, for example, 2194927 + ... + 2612689.

It is an arithmetic number, because the mean of its divisors is an integer number (44939917890).

Almost surely, 21004222041504 is an apocalyptic number.

It is an amenable number.

1004222041504 is an abundant number, since it is smaller than the sum of its proper divisors (1152894017216).

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

1004222041504 is a wasteful number, since it uses less digits than its factorization.

1004222041504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424613 (or 424605 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 1004222041504 its reverse (4051402224001), we get a palindrome (5055624265505).

The spelling of 1004222041504 in words is "one trillion, four billion, two hundred twenty-two million, forty-one thousand, five hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 6829 13658 27316 54632 75119 109264 150238 218528 300476 417763 600952 835526 1201904 1671052 2403808 3342104 4595393 6684208 9190786 13368416 18381572 36763144 73526288 147052576 2852903527 5705807054 11411614108 22823228216 31381938797 45646456432 62763877594 91292912864 125527755188 251055510376 502111020752 1004222041504