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4142265372 = 223372863907
BaseRepresentation
bin1111011011100101…
…1111010000011100
3101200200101212212000
43312321133100130
531440404442442
61523011042300
7204435450300
oct36671372034
911620355760
104142265372
111836223313
129772a0390
13510242bcb
142b41c7d00
151939c7d4c
hexf6e5f41c

4142265372 has 144 divisors (see below), whose sum is σ = 12520811520. Its totient is φ = 1180829664.

The previous prime is 4142265359. The next prime is 4142265389. The reversal of 4142265372 is 2735622414.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4566543 + ... + 4567449.

It is an arithmetic number, because the mean of its divisors is an integer number (86950080).

Almost surely, 24142265372 is an apocalyptic number.

4142265372 is a gapful number since it is divisible by the number (42) 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 4142265372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6260405760).

4142265372 is an abundant number, since it is smaller than the sum of its proper divisors (8378546148).

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

4142265372 is a wasteful number, since it uses less digits than its factorization.

4142265372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1797 (or 1782 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 4142265372 is about 64360.4332800829. The cubic root of 4142265372 is about 1606.0015968537.

Adding to 4142265372 its reverse (2735622414), we get a palindrome (6877887786).

The spelling of 4142265372 in words is "four billion, one hundred forty-two million, two hundred sixty-five thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 863 882 907 1323 1726 1764 1814 2589 2646 2721 3452 3628 5178 5292 5442 6041 6349 7767 8163 10356 10884 12082 12698 15534 16326 18123 19047 23301 24164 24489 25396 31068 32652 36246 38094 42287 44443 46602 48978 54369 57141 72492 76188 84574 88886 93204 97956 108738 114282 126861 133329 163107 169148 171423 177772 217476 228564 253722 266658 326214 342846 380583 399987 507444 533316 652428 685692 761166 782741 799974 1141749 1199961 1522332 1565482 1599948 2283498 2348223 2399922 3130964 4566996 4696446 4799844 5479187 7044669 9392892 10958374 14089338 16437561 21134007 21916748 28178676 32875122 38354309 42268014 49312683 65750244 76708618 84536028 98625366 115062927 147938049 153417236 197250732 230125854 295876098 345188781 460251708 591752196 690377562 1035566343 1380755124 2071132686 4142265372