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1004240114320 = 24512553001429
BaseRepresentation
bin11101001110100010110…
…00000001001010010000
310120000010012221112212011
432213101120001022100
5112423140432124240
62045201434512304
7132361002062242
oct16472130011220
93500105845764
101004240114320
11357994400603
12142765b95694
137391287b121
1436869622092
151b1c8b1b6ea
hexe9d1601290

1004240114320 has 20 divisors (see below), whose sum is σ = 2334858265980. Its totient is φ = 401696045696.

The previous prime is 1004240114291. The next prime is 1004240114327. The reversal of 1004240114320 is 234110424001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 680110297344 + 324129816976 = 824688^2 + 569324^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 1004240114291 and 1004240114300.

It is not an unprimeable number, because it can be changed into a prime (1004240114327) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6276500635 + ... + 6276500794.

It is an arithmetic number, because the mean of its divisors is an integer number (116742913299).

Almost surely, 21004240114320 is an apocalyptic number.

1004240114320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004240114320 is an abundant number, since it is smaller than the sum of its proper divisors (1330618151660).

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

1004240114320 is a wasteful number, since it uses less digits than its factorization.

1004240114320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12553001442 (or 12553001436 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 1004240114320 its reverse (234110424001), we get a palindrome (1238350538321).

The spelling of 1004240114320 in words is "one trillion, four billion, two hundred forty million, one hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 12553001429 25106002858 50212005716 62765007145 100424011432 125530014290 200848022864 251060028580 502120057160 1004240114320