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1032144403304 = 23722633021437
BaseRepresentation
bin11110000010100001001…
…10011011101101101000
310122200010220210022011202
433001100212123231220
5113402312431401204
62110054404343332
7134366333446400
oct17012046335550
93580126708152
101032144403304
11368803675963
121480530a4b48
137643b9c7621
1437d555b9800
151bcad778e1e
hexf05099bb68

1032144403304 has 24 divisors (see below), whose sum is σ = 2251233329490. Its totient is φ = 442347601248.

The previous prime is 1032144403261. The next prime is 1032144403319. The reversal of 1032144403304 is 4033044412301.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 612616159204 + 419528244100 = 782698^2 + 647710^2 .

It is a super-4 number, since 4×10321444033044 (a number of 49 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1316510327 + ... + 1316511110.

Almost surely, 21032144403304 is an apocalyptic number.

1032144403304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1032144403304 is an abundant number, since it is smaller than the sum of its proper divisors (1219088926186).

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

1032144403304 is a wasteful number, since it uses less digits than its factorization.

1032144403304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2633021457 (or 2633021446 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 1032144403304 its reverse (4033044412301), we get a palindrome (5065188815605).

The spelling of 1032144403304 in words is "one trillion, thirty-two billion, one hundred forty-four million, four hundred three thousand, three hundred four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 2633021437 5266042874 10532085748 18431150059 21064171496 36862300118 73724600236 129018050413 147449200472 258036100826 516072201652 1032144403304