Search a number
-
+
44301404312 = 23111074879661
BaseRepresentation
bin101001010000100100…
…011100100010011000
311020100102220111221022
4221100210130202120
51211212124414222
632203552502012
73125554503104
oct512044344230
9136312814838
1044301404312
1117873a95840
12870454a908
134240274009
14220397c904
151244447042
hexa5091c898

44301404312 has 64 divisors (see below), whose sum is σ = 91660688640. Its totient is φ = 19905782400.

The previous prime is 44301404293. The next prime is 44301404317. The reversal of 44301404312 is 21340410344.

It is a super-2 number, since 2×443014043122 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44301404317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4580762 + ... + 4590422.

It is an arithmetic number, because the mean of its divisors is an integer number (1432198260).

Almost surely, 244301404312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44301404312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45830344320).

44301404312 is an abundant number, since it is smaller than the sum of its proper divisors (47359284328).

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

44301404312 is a wasteful number, since it uses less digits than its factorization.

44301404312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10272 (or 10268 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 44301404312 its reverse (21340410344), we get a palindrome (65641814656).

The spelling of 44301404312 in words is "forty-four billion, three hundred one million, four hundred four thousand, three hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 107 214 428 487 856 974 1177 1948 2354 3896 4708 5357 9416 9661 10714 19322 21428 38644 42856 52109 77288 104218 106271 208436 212542 416872 425084 573199 850168 1033727 1146398 2067454 2292796 4134908 4585592 4704907 8269816 9409814 11370997 18819628 22741994 37639256 45483988 51753977 90967976 103507954 207015908 414031816 503425049 1006850098 2013700196 4027400392 5537675539 11075351078 22150702156 44301404312