Search a number
-
+
4128018224 = 24112921672
BaseRepresentation
bin1111011000001100…
…1000111100110000
3101122200121001102212
43312003020330300
531423233040344
61521341431252
7204203401361
oct36603107460
911580531385
104128018224
111829182210
1297256b528
1350a2c5145
142b2359b68
1519261179e
hexf60c8f30

4128018224 has 90 divisors (see below), whose sum is σ = 9090804684. Its totient is φ = 1800821120.

The previous prime is 4128018157. The next prime is 4128018227. The reversal of 4128018224 is 4228108214.

It is a super-2 number, since 2×41280182242 = 34081068915352228352, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4128018227) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 24718589 + ... + 24718755.

Almost surely, 24128018224 is an apocalyptic number.

4128018224 is a gapful number since it is divisible by the number (44) 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 4128018224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4545402342).

4128018224 is an abundant number, since it is smaller than the sum of its proper divisors (4962786460).

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

4128018224 is a wasteful number, since it uses less digits than its factorization.

4128018224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The square root of 4128018224 is about 64249.6554387648. The cubic root of 4128018224 is about 1604.1582234575.

The spelling of 4128018224 in words is "four billion, one hundred twenty-eight million, eighteen thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 167 176 232 319 334 464 638 668 841 1276 1336 1682 1837 2552 2672 3364 3674 4843 5104 6728 7348 9251 9686 13456 14696 18502 19372 27889 29392 37004 38744 53273 55778 74008 77488 106546 111556 140447 148016 213092 223112 280894 306779 426184 446224 561788 613558 808781 852368 1123576 1227116 1544917 1617562 2247152 2454232 3089834 3235124 4908464 6179668 6470248 8896591 12359336 12940496 17793182 23454649 24718672 35586364 46909298 71172728 93818596 142345456 187637192 258001139 375274384 516002278 1032004556 2064009112 4128018224