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4144221042 = 2313241831201
BaseRepresentation
bin1111011100000011…
…1100101101110010
3101200211002020112020
43313000330231302
531441410033132
61523121012310
7204461204043
oct36700745562
911624066466
104144221042
111837339675
12977a84096
13510779100
142b45768ca
15193c6252c
hexf703cb72

4144221042 has 96 divisors (see below), whose sum is σ = 9312480576. Its totient is φ = 1228032000.

The previous prime is 4144221041. The next prime is 4144221061. The reversal of 4144221042 is 2401224414.

It is not an unprimeable number, because it can be changed into a prime (4144221041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3450042 + ... + 3451242.

It is an arithmetic number, because the mean of its divisors is an integer number (97005006).

Almost surely, 24144221042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4144221042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4656240288).

4144221042 is an abundant number, since it is smaller than the sum of its proper divisors (5168259534).

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

4144221042 is a wasteful number, since it uses less digits than its factorization.

4144221042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 4144221042 is about 64375.6245950282. The cubic root of 4144221042 is about 1606.2543019724.

Adding to 4144221042 its reverse (2401224414), we get a palindrome (6545445456).

The spelling of 4144221042 in words is "four billion, one hundred forty-four million, two hundred twenty-one thousand, forty-two".

Divisors: 1 2 3 6 13 26 39 41 78 82 83 123 166 169 246 249 338 498 507 533 1014 1066 1079 1201 1599 2158 2402 3198 3237 3403 3603 6474 6806 6929 7206 10209 13858 14027 15613 20418 20787 28054 31226 41574 42081 44239 46839 49241 84162 88478 93678 98482 99683 132717 147723 199366 202969 265434 295446 299049 405938 575107 598098 608907 640133 1150214 1217814 1280266 1295879 1725321 1920399 2591758 3450642 3840798 3887637 4087003 7775274 8174006 8321729 12261009 16643458 16846427 24522018 24965187 33692854 49930374 50539281 53131039 101078562 106262078 159393117 318786234 690703507 1381407014 2072110521 4144221042