Search a number
-
+
45516435440 = 245781279349
BaseRepresentation
bin101010011000111111…
…011010111111110000
311100111010012111022012
4222120333122333300
51221204201413230
632524315102052
73200640213650
oct523077327760
9140433174265
1045516435440
11183379286a3
1289a3441928
1343a4bcc048
1422bb0a2360
1512b5e51395
hexa98fdaff0

45516435440 has 40 divisors (see below), whose sum is σ = 120943672800. Its totient is φ = 15605634816.

The previous prime is 45516435427. The next prime is 45516435467. The reversal of 45516435440 is 4453461554.

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

It is a congruent number.

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, 40639115 + ... + 40640234.

It is an arithmetic number, because the mean of its divisors is an integer number (3023591820).

Almost surely, 245516435440 is an apocalyptic number.

45516435440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45516435440 is an abundant number, since it is smaller than the sum of its proper divisors (75427237360).

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

45516435440 is a wasteful number, since it uses less digits than its factorization.

45516435440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81279369 (or 81279363 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 41.

Adding to 45516435440 its reverse (4453461554), we get a palindrome (49969896994).

The spelling of 45516435440 in words is "forty-five billion, five hundred sixteen million, four hundred thirty-five thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 81279349 162558698 325117396 406396745 568955443 650234792 812793490 1137910886 1300469584 1625586980 2275821772 2844777215 3251173960 4551643544 5689554430 6502347920 9103287088 11379108860 22758217720 45516435440