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4241223240 = 2335175339227
BaseRepresentation
bin1111110011001011…
…1110111001001000
3101221120121110112020
43330302332321020
532141223120430
61540504044440
7210046542222
oct37462767110
911846543466
104241223240
111887072881
129a4463720
135278b0267
142c33c7412
1519c523b10
hexfccbee48

4241223240 has 128 divisors (see below), whose sum is σ = 13726661760. Its totient is φ = 1044353024.

The previous prime is 4241223199. The next prime is 4241223241. The reversal of 4241223240 is 423221424.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4241223240.

It is not an unprimeable number, because it can be changed into a prime (4241223241) 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 31 ways as a sum of consecutive naturals, for example, 88507 + ... + 127733.

It is an arithmetic number, because the mean of its divisors is an integer number (107239545).

Almost surely, 24241223240 is an apocalyptic number.

4241223240 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 4241223240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6863330880).

4241223240 is an abundant number, since it is smaller than the sum of its proper divisors (9485438520).

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

4241223240 is a wasteful number, since it uses less digits than its factorization.

4241223240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39311 (or 39307 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4241223240 is about 65124.6745865190. The cubic root of 4241223240 is about 1618.6901010120.

Adding to 4241223240 its reverse (423221424), we get a palindrome (4664444664).

The spelling of 4241223240 in words is "four billion, two hundred forty-one million, two hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 53 60 68 85 102 106 120 136 159 170 204 212 255 265 318 340 408 424 510 530 636 680 795 901 1020 1060 1272 1590 1802 2040 2120 2703 3180 3604 4505 5406 6360 7208 9010 10812 13515 18020 21624 27030 36040 39227 54060 78454 108120 117681 156908 196135 235362 313816 392270 470724 588405 666859 784540 941448 1176810 1333718 1569080 2000577 2079031 2353620 2667436 3334295 4001154 4158062 4707240 5334872 6237093 6668590 8002308 8316124 10002885 10395155 12474186 13337180 16004616 16632248 20005770 20790310 24948372 26674360 31185465 35343527 40011540 41580620 49896744 62370930 70687054 80023080 83161240 106030581 124741860 141374108 176717635 212061162 249483720 282748216 353435270 424122324 530152905 706870540 848244648 1060305810 1413741080 2120611620 4241223240