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444313442013 = 3771667944617
BaseRepresentation
bin1100111011100110010…
…01010001011011011101
31120110211222010110112220
412131303021101123131
524234423220121023
6540040443015553
744046333641340
oct6356311213335
91513758113486
10444313442013
1116148339a251
127213b80a5b9
1332b8b23854c
141770d596457
15b856e1c3e3
hex67732516dd

444313442013 has 32 divisors (see below), whose sum is σ = 686703144960. Its totient is φ = 250274344320.

The previous prime is 444313441993. The next prime is 444313442033. The reversal of 444313442013 is 310244313444.

It is an interprime number because it is at equal distance from previous prime (444313441993) and next prime (444313442033).

It is not a de Polignac number, because 444313442013 - 28 = 444313441757 is a prime.

It is a super-3 number, since 3×4443134420133 (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444313442033) 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, 9936081 + ... + 9980697.

It is an arithmetic number, because the mean of its divisors is an integer number (21459473280).

Almost surely, 2444313442013 is an apocalyptic number.

It is an amenable number.

444313442013 is a deficient number, since it is larger than the sum of its proper divisors (242389702947).

444313442013 is a wasteful number, since it uses less digits than its factorization.

444313442013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51377.

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 444313442013 its reverse (310244313444), we get a palindrome (754557755457).

The spelling of 444313442013 in words is "four hundred forty-four billion, three hundred thirteen million, four hundred forty-two thousand, thirteen".

Divisors: 1 3 7 21 71 213 497 1491 6679 20037 44617 46753 133851 140259 312319 474209 936957 1422627 3167807 3319463 9503421 9958389 22174649 66523947 297996943 893990829 2085978601 6257935803 21157782953 63473348859 148104480671 444313442013