Search a number
-
+
4142198285760 = 26355039856279
BaseRepresentation
bin111100010001101110010…
…000011110010111000000
3112122222201220212001211110
4330101232100132113000
51020331210230121020
612450522152443320
7605156351331603
oct74215620362700
915588656761743
104142198285760
111357772a443a7
1256a9519a9540
132407b8c3ba22
141046aa8c033a
1572b34baa8e0
hex3c46e41e5c0

4142198285760 has 112 divisors (see below), whose sum is σ = 13154104857600. Its totient is φ = 1104365712384.

The previous prime is 4142198285749. The next prime is 4142198285809. The reversal of 4142198285760 is 675828912414.

It is a self number, because there is not a number n which added to its sum of digits gives 4142198285760.

It is a congruent number.

It is an unprimeable number.

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, 4409301 + ... + 5265579.

It is an arithmetic number, because the mean of its divisors is an integer number (117447364800).

Almost surely, 24142198285760 is an apocalyptic number.

4142198285760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4142198285760 is an abundant number, since it is smaller than the sum of its proper divisors (9011906571840).

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

4142198285760 is a wasteful number, since it uses less digits than its factorization.

4142198285760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861338 (or 861328 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 57.

The spelling of 4142198285760 in words is "four trillion, one hundred forty-two billion, one hundred ninety-eight million, two hundred eighty-five thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 5039 10078 15117 20156 25195 30234 40312 50390 60468 75585 80624 100780 120936 151170 161248 201560 241872 302340 322496 403120 483744 604680 806240 856279 967488 1209360 1612480 1712558 2418720 2568837 3425116 4281395 4837440 5137674 6850232 8562790 10275348 12844185 13700464 17125580 20550696 25688370 27400928 34251160 41101392 51376740 54801856 68502320 82202784 102753480 137004640 164405568 205506960 274009280 411013920 822027840 4314789881 8629579762 12944369643 17259159524 21573949405 25888739286 34518319048 43147898810 51777478572 64721848215 69036638096 86295797620 103554957144 129443696430 138073276192 172591595240 207109914288 258887392860 276146552384 345183190480 414219828576 517774785720 690366380960 828439657152 1035549571440 1380732761920 2071099142880 4142198285760