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1004434344440 = 235104297240763
BaseRepresentation
bin11101001110111001111…
…00111100100111111000
310120000121202102110111022
432213130330330213320
5112424040143010230
62045233013522012
7132365551025642
oct16473474744770
93500552373438
101004434344440
11357a8400256a
121427bb043308
1373943b950a7
1436887341892
151b1dabd61e5
hexe9dcf3c9f8

1004434344440 has 32 divisors (see below), whose sum is σ = 2260008330480. Its totient is φ = 401768216832.

The previous prime is 1004434344409. The next prime is 1004434344521. The reversal of 1004434344440 is 444434344001.

It is a super-2 number, since 2×10044343444402 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1004434344440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4051499 + ... + 4292261.

Almost surely, 21004434344440 is an apocalyptic number.

1004434344440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004434344440 is an abundant number, since it is smaller than the sum of its proper divisors (1255573986040).

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

1004434344440 is a wasteful number, since it uses less digits than its factorization.

1004434344440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345071 (or 345067 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 35.

Adding to 1004434344440 its reverse (444434344001), we get a palindrome (1448868688441).

The spelling of 1004434344440 in words is "one trillion, four billion, four hundred thirty-four million, three hundred forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 104297 208594 240763 417188 481526 521485 834376 963052 1042970 1203815 1926104 2085940 2407630 4171880 4815260 9630520 25110858611 50221717222 100443434444 125554293055 200886868888 251108586110 502217172220 1004434344440