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4444340086992 = 2431329390762861
BaseRepresentation
bin100000010101100011101…
…0011111110100011010000
3120201212121200221212112010
41000223013103332203100
51040304002030240432
613241411320102520
7636043614300561
oct100530723764320
916655550855463
104444340086992
11146391a12a663
125b9414604a40
1326313a702b30
14115170270168
157a91a3dc3cc
hex40ac74fe8d0

4444340086992 has 160 divisors (see below), whose sum is σ = 12794217367680. Its totient is φ = 1319975516160.

The previous prime is 4444340086981. The next prime is 4444340086999. The reversal of 4444340086992 is 2996800434444.

It is a super-3 number, since 3×44443400869923 (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4444340086999) 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, 70669642 + ... + 70732502.

It is an arithmetic number, because the mean of its divisors is an integer number (79963858548).

Almost surely, 24444340086992 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 4444340086992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6397108683840).

4444340086992 is an abundant number, since it is smaller than the sum of its proper divisors (8349877280688).

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

4444340086992 is a wasteful number, since it uses less digits than its factorization.

4444340086992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66821 (or 66815 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 57.

The spelling of 4444340086992 in words is "four trillion, four hundred forty-four billion, three hundred forty million, eighty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 39 48 52 58 78 87 104 116 156 174 208 232 312 348 377 464 624 696 754 1131 1392 1508 2262 3016 3907 4524 6032 7814 9048 11721 15628 18096 23442 31256 46884 50791 62512 62861 93768 101582 113303 125722 152373 187536 188583 203164 226606 251444 304746 339909 377166 406328 453212 502888 609492 679818 754332 812656 817193 906424 1005776 1218984 1359636 1472939 1508664 1634386 1812848 1822969 2437968 2451579 2719272 2945878 3017328 3268772 3645938 4418817 4903158 5438544 5468907 5891756 6537544 7291876 8837634 9806316 10937814 11783512 13075088 14583752 17675268 19612632 21875628 23567024 23698597 29167504 35350536 39225264 43751256 47397194 70701072 71095791 87502512 94794388 142191582 189588776 245597927 284383164 379177552 491195854 568766328 736793781 982391708 1137532656 1473587562 1964783416 2947175124 3192773051 3929566832 5894350248 6385546102 7122339883 9578319153 11788700496 12771092204 14244679766 19156638306 21367019649 25542184408 28489359532 38313276612 42734039298 51084368816 56978719064 76626553224 85468078596 92590418479 113957438128 153253106448 170936157192 185180836958 277771255437 341872314384 370361673916 555542510874 740723347832 1111085021748 1481446695664 2222170043496 4444340086992