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8421241444 = 22711295317789
BaseRepresentation
bin1111101011111000…
…11111001001100100
3210201220001101112021
413311330133021210
5114221314211234
63511344232524
7415454241220
oct76574371144
923656041467
108421241444
113631631380
12177030b744
13a428b0c05
1459c5db780
153444a79b4
hex1f5f1f264

8421241444 has 96 divisors (see below), whose sum is σ = 19366905600. Its totient is φ = 3107919360.

The previous prime is 8421241429. The next prime is 8421241463. The reversal of 8421241444 is 4441421248.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 464502 + ... + 482290.

It is an arithmetic number, because the mean of its divisors is an integer number (201738600).

Almost surely, 28421241444 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 8421241444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9683452800).

8421241444 is an abundant number, since it is smaller than the sum of its proper divisors (10945664156).

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

8421241444 is a wasteful number, since it uses less digits than its factorization.

8421241444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17893 (or 17891 counting only the distinct ones).

The product of its digits is 32768, while the sum is 34.

The square root of 8421241444 is about 91767.3223102865. The cubic root of 8421241444 is about 2034.5047416873.

The spelling of 8421241444 in words is "eight billion, four hundred twenty-one million, two hundred forty-one thousand, four hundred forty-four".

Divisors: 1 2 4 7 11 14 22 28 29 44 53 58 77 106 116 154 203 212 308 319 371 406 583 638 742 812 1166 1276 1484 1537 2233 2332 3074 4081 4466 6148 8162 8932 10759 16324 16907 17789 21518 33814 35578 43036 67628 71156 118349 124523 195679 236698 249046 391358 473396 498092 515881 782716 942817 1031762 1369753 1885634 2063524 2739506 3611167 3771268 5479012 5674691 6599719 7222334 10370987 11349382 13199438 14444668 20741974 22698764 26398876 27341693 39722837 41483948 54683386 72596909 79445674 109366772 145193818 158891348 191391851 290387636 300758623 382783702 601517246 765567404 1203034492 2105310361 4210620722 8421241444