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3320224120140 = 22351011399391631
BaseRepresentation
bin110000010100001100110…
…001110111110101001100
3102202102002010110001110220
4300110030301313311030
5413344304333321030
611021142341431340
7461610151240014
oct60241461676514
912672063401426
103320224120140
11107010aa59854
1245759440b550
131b11325b72b5
14b69b1dc0c44
155b57768ea10
hex3050cc77d4c

3320224120140 has 96 divisors (see below), whose sum is σ = 9395408332800. Its totient is φ = 875997984000.

The previous prime is 3320224120127. The next prime is 3320224120163. The reversal of 3320224120140 is 410214220233.

It is a happy number.

It is a super-4 number, since 4×33202241201404 (a number of 51 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 3320224120140.

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, 8282125 + ... + 8673755.

It is an arithmetic number, because the mean of its divisors is an integer number (97868836800).

Almost surely, 23320224120140 is an apocalyptic number.

3320224120140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3320224120140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4697704166400).

3320224120140 is an abundant number, since it is smaller than the sum of its proper divisors (6075184212660).

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

3320224120140 is a wasteful number, since it uses less digits than its factorization.

3320224120140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393143 (or 393141 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 3320224120140 its reverse (410214220233), we get a palindrome (3730438340373).

The spelling of 3320224120140 in words is "three trillion, three hundred twenty billion, two hundred twenty-four million, one hundred twenty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 202 303 404 505 606 1010 1212 1399 1515 2020 2798 3030 4197 5596 6060 6995 8394 13990 16788 20985 27980 41970 83940 141299 282598 391631 423897 565196 706495 783262 847794 1174893 1412990 1566524 1695588 1958155 2119485 2349786 2825980 3916310 4238970 4699572 5874465 7832620 8477940 11748930 23497860 39554731 79109462 118664193 158218924 197773655 237328386 395547310 474656772 547891769 593320965 791094620 1095783538 1186641930 1643675307 2191567076 2373283860 2739458845 3287350614 5478917690 6574701228 8218376535 10957835380 16436753070 32873506140 55337068669 110674137338 166011206007 221348274676 276685343345 332022412014 553370686690 664044824028 830056030035 1106741373380 1660112060070 3320224120140