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4221242340 = 2235727137087
BaseRepresentation
bin1111101110011011…
…0000101111100100
3101220012000022212220
43323212300233210
532121114223330
61534511512340
7206414652660
oct37346605744
911805008786
104221242340
111876865937
129998286b0
13523705743
142c08a58a0
1519a8c8710
hexfb9b0be4

4221242340 has 96 divisors (see below), whose sum is σ = 13558185984. Its totient is φ = 961269120.

The previous prime is 4221242329. The next prime is 4221242353. The reversal of 4221242340 is 432421224.

It is a self number, because there is not a number n which added to its sum of digits gives 4221242340.

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 31 ways as a sum of consecutive naturals, for example, 95277 + ... + 132363.

It is an arithmetic number, because the mean of its divisors is an integer number (141231104).

Almost surely, 24221242340 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 4221242340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6779092992).

4221242340 is an abundant number, since it is smaller than the sum of its proper divisors (9336943644).

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

4221242340 is a wasteful number, since it uses less digits than its factorization.

4221242340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37377 (or 37375 counting only the distinct ones).

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

The square root of 4221242340 is about 64971.0884932675. The cubic root of 4221242340 is about 1616.1441524391.

Adding to 4221242340 its reverse (432421224), we get a palindrome (4653663564).

The spelling of 4221242340 in words is "four billion, two hundred twenty-one million, two hundred forty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 271 420 542 813 1084 1355 1626 1897 2710 3252 3794 4065 5420 5691 7588 8130 9485 11382 16260 18970 22764 28455 37087 37940 56910 74174 111261 113820 148348 185435 222522 259609 370870 445044 519218 556305 741740 778827 1038436 1112610 1298045 1557654 2225220 2596090 3115308 3894135 5192180 7788270 10050577 15576540 20101154 30151731 40202308 50252885 60303462 70354039 100505770 120606924 140708078 150758655 201011540 211062117 281416156 301517310 351770195 422124234 603034620 703540390 844248468 1055310585 1407080780 2110621170 4221242340