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1004400133040 = 24519165732993
BaseRepresentation
bin11101001110110101110…
…10011100001110110000
310120000112101001100021102
432213122322130032300
5112424002413224130
62045225352343532
7132364654160153
oct16473272341660
93500471040242
101004400133040
11357a66765a87
121427ab6a4ba8
1373939a77265
1436882997c9a
151b1d7bc9645
hexe9dae9c3b0

1004400133040 has 40 divisors (see below), whose sum is σ = 2347456681728. Its totient is φ = 399656591360.

The previous prime is 1004400132991. The next prime is 1004400133097. The reversal of 1004400133040 is 403310044001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

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

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, 32851217 + ... + 32881776.

Almost surely, 21004400133040 is an apocalyptic number.

1004400133040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004400133040 is an abundant number, since it is smaller than the sum of its proper divisors (1343056548688).

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

1004400133040 is a wasteful number, since it uses less digits than its factorization.

1004400133040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65733197 (or 65733191 counting only the distinct ones).

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

Adding to 1004400133040 its reverse (403310044001), we get a palindrome (1407710177041).

The spelling of 1004400133040 in words is "one trillion, four billion, four hundred million, one hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 191 382 764 955 1528 1910 3056 3820 7640 15280 65732993 131465986 262931972 328664965 525863944 657329930 1051727888 1314659860 2629319720 5258639440 12555001663 25110003326 50220006652 62775008315 100440013304 125550016630 200880026608 251100033260 502200066520 1004400133040