Search a number
-
+
2503403330040 = 23325291737571831
BaseRepresentation
bin100100011011011110011…
…101110101100111111000
322212022201111000122100100
4210123132131311213320
5312003432223030130
65154014141235400
7345602445131424
oct44333635654770
98768644018310
102503403330040
11885761a09538
12345214862b60
131520ba8028b2
1489245aa9b84
15451bc7c4c60
hex246de7759f8

2503403330040 has 384 divisors, whose sum is σ = 8481077654400. Its totient is φ = 639632609280.

The previous prime is 2503403330023. The next prime is 2503403330047. The reversal of 2503403330040 is 400333043052.

It is a happy number.

2503403330040 is a `hidden beast` number, since 250 + 3 + 40 + 3 + 330 + 0 + 40 = 666.

It is a super-2 number, since 2×25034033300402 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2503403329986 and 2503403330013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2503403330047) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1367231925 + ... + 1367233755.

It is an arithmetic number, because the mean of its divisors is an integer number (22086139725).

Almost surely, 22503403330040 is an apocalyptic number.

2503403330040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2503403330040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4240538827200).

2503403330040 is an abundant number, since it is smaller than the sum of its proper divisors (5977674324360).

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

2503403330040 is a wasteful number, since it uses less digits than its factorization.

2503403330040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2807 (or 2800 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 27.

Adding to 2503403330040 its reverse (400333043052), we get a palindrome (2903736373092).

The spelling of 2503403330040 in words is "two trillion, five hundred three billion, four hundred three million, three hundred thirty thousand, forty".