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544440022245 = 32572375147001
BaseRepresentation
bin1111110110000110010…
…01110111010011100101
31221001021221221202020100
413323003021313103211
532410003121202440
61054040131054313
754222505555410
oct7730311672345
91831257852210
10544440022245
1119a994220a09
1289623a41399
133c457037022
141c4cb366b77
15e26730c230
hex7ec32774e5

544440022245 has 48 divisors (see below), whose sum is σ = 1125401501952. Its totient is φ = 238065696000.

The previous prime is 544440022223. The next prime is 544440022261. The reversal of 544440022245 is 542220044445.

544440022245 is a `hidden beast` number, since 5 + 4 + 4 + 4 + 400 + 2 + 2 + 245 = 666.

It is not a de Polignac number, because 544440022245 - 25 = 544440022213 is a prime.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 37566256 + ... + 37580745.

It is an arithmetic number, because the mean of its divisors is an integer number (23445864624).

Almost surely, 2544440022245 is an apocalyptic number.

It is an amenable number.

544440022245 is an abundant number, since it is smaller than the sum of its proper divisors (580961479707).

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

544440022245 is a wasteful number, since it uses less digits than its factorization.

544440022245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75147042 (or 75147039 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 36.

It can be divided in two parts, 5444400 and 22245, that added together give a palindrome (5466645).

The spelling of 544440022245 in words is "five hundred forty-four billion, four hundred forty million, twenty-two thousand, two hundred forty-five".

Divisors: 1 3 5 7 9 15 21 23 35 45 63 69 105 115 161 207 315 345 483 805 1035 1449 2415 7245 75147001 225441003 375735005 526029007 676323009 1127205015 1578087021 1728381023 2630145035 3381615045 4734261063 5185143069 7890435105 8641905115 12098667161 15555429207 23671305315 25925715345 36296001483 60493335805 77777146035 108888004449 181480007415 544440022245