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4124141140 = 22571913711317
BaseRepresentation
bin1111010111010001…
…0110011001010100
3101122102022002002011
43311310112121110
531421240004030
61521122354004
7204125423050
oct36564263124
911572262064
104124141140
111826a74309
129711bb904
13509568502
142b1a2ac60
151920e7b2a
hexf5d16654

4124141140 has 96 divisors (see below), whose sum is σ = 10495860480. Its totient is φ = 1329675264.

The previous prime is 4124141117. The next prime is 4124141149. The reversal of 4124141140 is 411414214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4124141149) 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, 358762 + ... + 370078.

It is an arithmetic number, because the mean of its divisors is an integer number (109331880).

Almost surely, 24124141140 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 4124141140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5247930240).

4124141140 is an abundant number, since it is smaller than the sum of its proper divisors (6371719340).

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

4124141140 is a wasteful number, since it uses less digits than its factorization.

4124141140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11489 (or 11487 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 4124141140 is about 64219.4763292259. The cubic root of 4124141140 is about 1603.6558512949.

Adding to 4124141140 its reverse (411414214), we get a palindrome (4535555354).

The spelling of 4124141140 in words is "four billion, one hundred twenty-four million, one hundred forty-one thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 137 140 190 266 274 380 532 548 665 685 959 1330 1370 1918 2603 2660 2740 3836 4795 5206 9590 10412 11317 13015 18221 19180 22634 26030 36442 45268 52060 56585 72884 79219 91105 113170 158438 182210 215023 226340 316876 364420 396095 430046 792190 860092 1075115 1505161 1550429 1584380 2150230 3010322 3100858 4300460 6020644 6201716 7525805 7752145 10853003 15051610 15504290 21706006 29458151 30103220 31008580 43412012 54265015 58916302 108530030 117832604 147290755 206207057 217060060 294581510 412414114 589163020 824828228 1031035285 2062070570 4124141140