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4021444440032 = 2517191732248969
BaseRepresentation
bin111010100001010000110…
…001000110111111100000
3112020110001101012010101212
4322201100301012333200
51011341404234040112
612315232010445252
7563353066512335
oct72412061067740
915213041163355
104021444440032
111310537602888
1254b471733828
132322b38115c6
14dc8d33c498c
156e918948522
hex3a850c46fe0

4021444440032 has 96 divisors (see below), whose sum is σ = 8875155290400. Its totient is φ = 1782478061568.

The previous prime is 4021444440019. The next prime is 4021444440037. The reversal of 4021444440032 is 2300444441204.

It is a super-2 number, since 2×40214444400322 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4021444440037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 663644 + ... + 2912612.

It is an arithmetic number, because the mean of its divisors is an integer number (92449534275).

Almost surely, 24021444440032 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 4021444440032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4437577645200).

4021444440032 is an abundant number, since it is smaller than the sum of its proper divisors (4853710850368).

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

4021444440032 is a wasteful number, since it uses less digits than its factorization.

4021444440032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2249188 (or 2249180 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 4021444440032 its reverse (2300444441204), we get a palindrome (6321888881236).

The spelling of 4021444440032 in words is "four trillion, twenty-one billion, four hundred forty-four million, four hundred forty thousand, thirty-two".

Divisors: 1 2 4 8 16 17 19 32 34 38 68 76 136 152 173 272 304 323 346 544 608 646 692 1292 1384 2584 2768 2941 3287 5168 5536 5882 6574 10336 11764 13148 23528 26296 47056 52592 55879 94112 105184 111758 223516 447032 894064 1788128 2248969 4497938 8995876 17991752 35983504 38232473 42730411 71967008 76464946 85460822 152929892 170921644 305859784 341843288 389071637 611719568 683686576 726416987 778143274 1223439136 1367373152 1452833974 1556286548 2905667948 3112573096 5811335896 6225146192 6614217829 7392361103 11622671792 12450292384 13228435658 14784722206 23245343584 26456871316 29569444412 52913742632 59138888824 105827485264 118277777648 125670138751 211654970528 236555555296 251340277502 502680555004 1005361110008 2010722220016 4021444440032