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4223331242240 = 285112251133253
BaseRepresentation
bin111101011101010010001…
…010001001000100000000
3112221202011012211021221112
4331131102022021010000
51023143340244222430
612552101021342452
7614061041150405
oct75352212110400
915852135737845
104223331242240
111389117425450
12582615107a28
132483489c3096
141085a5cd62ac
1574cd2870195
hex3d752289100

4223331242240 has 144 divisors (see below), whose sum is σ = 11040837990336. Its totient is φ = 1535063040000.

The previous prime is 4223331242237. The next prime is 4223331242329. The reversal of 4223331242240 is 422421333224.

It is a super-4 number, since 4×42233312422404 (a number of 52 digits) contains 4444 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4223331242197 and 4223331242206.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31627454 + ... + 31760706.

It is an arithmetic number, because the mean of its divisors is an integer number (76672486044).

Almost surely, 24223331242240 is an apocalyptic number.

4223331242240 is a gapful number since it is divisible by the number (40) 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 4223331242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5520418995168).

4223331242240 is an abundant number, since it is smaller than the sum of its proper divisors (6817506748096).

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

4223331242240 is a wasteful number, since it uses less digits than its factorization.

4223331242240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135536 (or 135522 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 4223331242240 its reverse (422421333224), we get a palindrome (4645752575464).

The spelling of 4223331242240 in words is "four trillion, two hundred twenty-three billion, three hundred thirty-one million, two hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 640 704 880 1280 1408 1760 2251 2816 3520 4502 7040 9004 11255 14080 18008 22510 24761 36016 45020 49522 72032 90040 99044 123805 133253 144064 180080 198088 247610 266506 288128 360160 396176 495220 533012 576256 666265 720320 792352 990440 1066024 1332530 1440640 1465783 1584704 1980880 2132048 2665060 2881280 2931566 3169408 3961760 4264096 5330120 5863132 6338816 7328915 7923520 8528192 10660240 11726264 14657830 15847040 17056384 21320480 23452528 29315660 31694080 34112768 42640960 46905056 58631320 85281920 93810112 117262640 170563840 187620224 234525280 299952503 375240448 469050560 599905006 938101120 1199810012 1499762515 1876202240 2399620024 2999525030 3299477533 4799240048 5999050060 6598955066 9598480096 11998100120 13197910132 16497387665 19196960192 23996200240 26395820264 32994775330 38393920384 47992400480 52791640528 65989550660 76787840768 95984800960 105583281056 131979101320 191969601920 211166562112 263958202640 383939203840 422333124224 527916405280 844666248448 1055832810560 2111665621120 4223331242240