Search a number
-
+
45314203443300 = 2232521144129103723
BaseRepresentation
bin10100100110110100010001…
…11111111110000001100100
312221102222212202020211210100
422103122020333332001210
521414411442040141200
6240213020243024100
712354562130025111
oct1223321077760144
9187388782224710
1045314203443300
1113490711561020
1250ba24306b030
131c39159c8ab3c
14b2930d4b7908
15538ad6a19d00
hex293688ffe064

45314203443300 has 216 divisors, whose sum is σ = 154952117742240. Its totient is φ = 10984906598400.

The previous prime is 45314203443241. The next prime is 45314203443403. The reversal of 45314203443300 is 334430241354.

It is a happy number.

45314203443300 is a `hidden beast` number, since 4 + 5 + 3 + 1 + 4 + 2 + 0 + 344 + 3 + 300 = 666.

45314203443300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 436825239 + ... + 436928961.

Almost surely, 245314203443300 is an apocalyptic number.

It is an amenable number.

45314203443300 is an abundant number, since it is smaller than the sum of its proper divisors (109637914298940).

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

45314203443300 is a wasteful number, since it uses less digits than its factorization.

45314203443300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147883 (or 147873 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

Adding to 45314203443300 its reverse (334430241354), we get a palindrome (45648633684654).

The spelling of 45314203443300 in words is "forty-five trillion, three hundred fourteen billion, two hundred three million, four hundred forty-three thousand, three hundred".