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4463440443644 = 22713293767112247
BaseRepresentation
bin100000011110011100111…
…0010000011100011111100
3120210200220211122112002212
41000330321302003203330
51041112111223144034
613254250511035552
7640321133532560
oct100747162034374
916720824575085
104463440443644
111470a30850286
1260106520bbb8
13264b928aa510
14116062c8d6a0
157b18719c2ce
hex40f39c838fc

4463440443644 has 96 divisors (see below), whose sum is σ = 9947794913280. Its totient is φ = 1704400733952.

The previous prime is 4463440443641. The next prime is 4463440443727.

4463440443644 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4463440443592 and 4463440443601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4463440443641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39708329 + ... + 39820575.

It is an arithmetic number, because the mean of its divisors is an integer number (103622863680).

Almost surely, 24463440443644 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 4463440443644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4973897456640).

4463440443644 is an abundant number, since it is smaller than the sum of its proper divisors (5484354469636).

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

4463440443644 is a wasteful number, since it uses less digits than its factorization.

4463440443644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116067 (or 116065 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 50.

The spelling of 4463440443644 in words is "four trillion, four hundred sixty-three billion, four hundred forty million, four hundred forty-three thousand, six hundred forty-four".

Divisors: 1 2 4 7 13 14 26 28 29 52 58 91 116 182 203 364 377 406 754 812 1508 2639 3767 5278 7534 10556 15068 26369 48971 52738 97942 105476 109243 112247 195884 218486 224494 342797 436972 448988 685594 764701 785729 1371188 1420159 1459211 1529402 1571458 2840318 2918422 3058804 3142916 3255163 5680636 5836844 6510326 9941113 10214477 13020652 19882226 20428954 22786141 39764452 40857908 42317119 45572282 84634238 91144564 169268476 296219833 422834449 592439666 845668898 1184879332 1691337796 2959841143 5496847837 5919682286 10993695674 11839364572 12262199021 21987391348 24524398042 38477934859 49048796084 76955869718 85835393147 153911739436 159408587273 171670786294 318817174546 343341572588 637634349092 1115860110911 2231720221822 4463440443644