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1004142033020 = 22577172443093
BaseRepresentation
bin11101001110010111000…
…01110111100001111100
310112222212101101111121102
432213023201313201330
5112422440330024040
62045144012352232
7132355401311030
oct16471341674174
93488771344542
101004142033020
11357943aaa685
12142739175678
13738c8459a59
143685a5b01c0
151b1c01e5515
hexe9cb87787c

1004142033020 has 24 divisors (see below), whose sum is σ = 2409940879584. Its totient is φ = 344277268416.

The previous prime is 1004142032963. The next prime is 1004142033043. The reversal of 1004142033020 is 203302414001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1004142032983 and 1004142033001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3586221407 + ... + 3586221686.

It is an arithmetic number, because the mean of its divisors is an integer number (100414203316).

Almost surely, 21004142033020 is an apocalyptic number.

1004142033020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004142033020 is an abundant number, since it is smaller than the sum of its proper divisors (1405798846564).

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

1004142033020 is a wasteful number, since it uses less digits than its factorization.

1004142033020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7172443109 (or 7172443107 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1004142033020 its reverse (203302414001), we get a palindrome (1207444447021).

The spelling of 1004142033020 in words is "one trillion, four billion, one hundred forty-two million, thirty-three thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 7172443093 14344886186 28689772372 35862215465 50207101651 71724430930 100414203302 143448861860 200828406604 251035508255 502071016510 1004142033020