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444402102102 = 23783463275339
BaseRepresentation
bin1100111011110000110…
…11011110111101010110
31120111002010221212022220
412131320123132331112
524240113414231402
6540053331203210
744051461353510
oct6357033367526
91514063855286
10444402102102
11161519445952
1272165446506
1332ba370b63a
141771b274bb0
15b85ead1dbc
hex67786def56

444402102102 has 64 divisors (see below), whose sum is σ = 1030238576640. Its totient is φ = 125170857504.

The previous prime is 444402102071. The next prime is 444402102211. The reversal of 444402102102 is 201201204444.

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, 1476349 + ... + 1751687.

It is an arithmetic number, because the mean of its divisors is an integer number (16097477760).

Almost surely, 2444402102102 is an apocalyptic number.

444402102102 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 444402102102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515119288320).

444402102102 is an abundant number, since it is smaller than the sum of its proper divisors (585836474538).

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

444402102102 is a wasteful number, since it uses less digits than its factorization.

444402102102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275897.

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 444402102102 its reverse (201201204444), we get a palindrome (645603306546).

The spelling of 444402102102 in words is "four hundred forty-four billion, four hundred two million, one hundred two thousand, one hundred two".

Divisors: 1 2 3 6 7 14 21 42 83 166 249 463 498 581 926 1162 1389 1743 2778 3241 3486 6482 9723 19446 38429 76858 115287 230574 269003 275339 538006 550678 807009 826017 1614018 1652034 1927373 3854746 5782119 11564238 22853137 45706274 68559411 127481957 137118822 159971959 254963914 319943918 382445871 479915877 764891742 892373699 959831754 1784747398 2677121097 5354242194 10581002431 21162004862 31743007293 63486014586 74067017017 148134034034 222201051051 444402102102