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4224540114032 = 247219953297589
BaseRepresentation
bin111101011110011010001…
…101100111110001110000
3112221212021110112100021212
4331132122031213301300
51023203324232122112
612552421003535252
7614133020326100
oct75363215476160
915855243470255
104224540114032
111389687840747
125828b1b2a528
132484ac2a2734
1410867c695200
1574d53a5e522
hex3d79a367c70

4224540114032 has 120 divisors (see below), whose sum is σ = 10033056392400. Its totient is φ = 1713421237248.

The previous prime is 4224540114023. The next prime is 4224540114049. The reversal of 4224540114032 is 2304110454224.

It is a self number, because there is not a number n which added to its sum of digits gives 4224540114032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14047094 + ... + 14344682.

It is an arithmetic number, because the mean of its divisors is an integer number (83608803270).

Almost surely, 24224540114032 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 4224540114032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5016528196200).

4224540114032 is an abundant number, since it is smaller than the sum of its proper divisors (5808516278368).

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

4224540114032 is a wasteful number, since it uses less digits than its factorization.

4224540114032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298583 (or 298570 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

Adding to 4224540114032 its reverse (2304110454224), we get a palindrome (6528650568256).

The spelling of 4224540114032 in words is "four trillion, two hundred twenty-four billion, five hundred forty million, one hundred fourteen thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 19 28 38 49 56 76 98 112 133 152 196 266 304 392 532 784 931 953 1064 1862 1906 2128 3724 3812 6671 7448 7624 13342 14896 15248 18107 26684 36214 46697 53368 72428 93394 106736 126749 144856 186788 253498 289712 297589 373576 506996 595178 747152 887243 1013992 1190356 1774486 2027984 2083123 2380712 3548972 4166246 4761424 5654191 7097944 8332492 11308382 14195888 14581861 16664984 22616764 29163722 33329968 39579337 45233528 58327444 79158674 90467056 116654888 158317348 233309776 277055359 283602317 316634696 554110718 567204634 633269392 1108221436 1134409268 1985216219 2216442872 2268818536 3970432438 4432885744 4537637072 5388444023 7940864876 10776888046 13896513533 15881729752 21553776092 27793027066 31763459504 37719108161 43107552184 55586054132 75438216322 86215104368 111172108264 150876432644 222344216528 264033757127 301752865288 528067514254 603505730576 1056135028508 2112270057016 4224540114032