Search a number
-
+
10043224140 = 22354715112357
BaseRepresentation
bin10010101101001111…
…10111000001001100
3221220221002122111110
421112213313001030
5131032031133030
64340325052020
7503610665565
oct112647670114
927827078443
1010043224140
114294157a44
121b43557010
13c409426a1
146b3bb516c
153dba9a1b0
hex2569f704c

10043224140 has 96 divisors (see below), whose sum is σ = 28750546944. Its totient is φ = 2618364160.

The previous prime is 10043224127. The next prime is 10043224141. The reversal of 10043224140 is 4142234001.

10043224140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100432241402 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10043224141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4259842 + ... + 4262198.

It is an arithmetic number, because the mean of its divisors is an integer number (299484864).

Almost surely, 210043224140 is an apocalyptic number.

10043224140 is a gapful number since it is divisible by the number (10) 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 10043224140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14375273472).

10043224140 is an abundant number, since it is smaller than the sum of its proper divisors (18707322804).

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

10043224140 is a wasteful number, since it uses less digits than its factorization.

10043224140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3927 (or 3925 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 10043224140 its reverse (4142234001), we get a palindrome (14185458141).

The spelling of 10043224140 in words is "ten billion, forty-three million, two hundred twenty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 940 1410 1511 2357 2820 3022 4533 4714 6044 7071 7555 9066 9428 11785 14142 15110 18132 22665 23570 28284 30220 35355 45330 47140 70710 71017 90660 110779 141420 142034 213051 221558 284068 332337 355085 426102 443116 553895 664674 710170 852204 1065255 1107790 1329348 1420340 1661685 2130510 2215580 3323370 3561427 4261020 6646740 7122854 10684281 14245708 17807135 21368562 35614270 42737124 53421405 71228540 106842810 167387069 213685620 334774138 502161207 669548276 836935345 1004322414 1673870690 2008644828 2510806035 3347741380 5021612070 10043224140