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44641414644 = 22373191367727
BaseRepresentation
bin101001100100110101…
…011110110111110100
311021020010200211102120
4221210311132313310
51212411200232034
632301420235540
73140153522631
oct514465366764
9137203624376
1044641414644
1117a28a07612
12879a39bbb0
134295840268
142236ba9188
15126420ac49
hexa64d5edf4

44641414644 has 96 divisors (see below), whose sum is σ = 106578640896. Its totient is φ = 14539979520.

The previous prime is 44641414583. The next prime is 44641414669.

44641414644 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 44641414596 and 44641414605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61404609 + ... + 61405335.

It is an arithmetic number, because the mean of its divisors is an integer number (1110194176).

Almost surely, 244641414644 is an apocalyptic number.

It is an amenable number.

44641414644 is an abundant number, since it is smaller than the sum of its proper divisors (61937226252).

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

44641414644 is a wasteful number, since it uses less digits than its factorization.

44641414644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1363 counting only the distinct ones).

The product of its digits is 589824, while the sum is 42.

The spelling of 44641414644 in words is "forty-four billion, six hundred forty-one million, four hundred fourteen thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 12 73 146 191 219 292 367 382 438 573 727 734 764 876 1101 1146 1454 1468 2181 2202 2292 2908 4362 4404 8724 13943 26791 27886 41829 53071 53582 55772 70097 80373 83658 106142 107164 138857 140194 159213 160746 167316 210291 212284 266809 277714 280388 318426 321492 416571 420582 533618 555428 636852 800427 833142 841164 1067236 1600854 1666284 3201708 5117081 10136561 10234162 15351243 19477057 20273122 20468324 30409683 30702486 38954114 40546244 50960519 58431171 60819366 61404972 77908228 101921038 116862342 121638732 152881557 203842076 233724684 305763114 611526228 3720117887 7440235774 11160353661 14880471548 22320707322 44641414644