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1004141030304 = 25311392564623
BaseRepresentation
bin11101001110010110111…
…10000010101110100000
310112222212022111120010210
432213023132002232200
5112422440100432204
62045143535054120
7132355356633456
oct16471336025640
93488768446123
101004141030304
11357943485295
12142738971340
13738c8198529
143685a3cc9d6
151b1c0098389
hexe9cb782ba0

1004141030304 has 48 divisors (see below), whose sum is σ = 2659196518272. Its totient is φ = 331751605248.

The previous prime is 1004141030273. The next prime is 1004141030329. The reversal of 1004141030304 is 4030301414001.

1004141030304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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, 46271464 + ... + 46293159.

It is an arithmetic number, because the mean of its divisors is an integer number (55399927464).

Almost surely, 21004141030304 is an apocalyptic number.

It is an amenable number.

1004141030304 is an abundant number, since it is smaller than the sum of its proper divisors (1655055487968).

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

1004141030304 is a wasteful number, since it uses less digits than its factorization.

1004141030304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92564749 (or 92564741 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 1004141030304 its reverse (4030301414001), we get a palindrome (5034442444305).

The spelling of 1004141030304 in words is "one trillion, four billion, one hundred forty-one million, thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 113 226 339 452 678 904 1356 1808 2712 3616 5424 10848 92564623 185129246 277693869 370258492 555387738 740516984 1110775476 1481033968 2221550952 2962067936 4443101904 8886203808 10459802399 20919604798 31379407197 41839209596 62758814394 83678419192 125517628788 167356838384 251035257576 334713676768 502070515152 1004141030304