Search a number
-
+
34142225502 = 23711175382021
BaseRepresentation
bin11111110011000010…
…010000010001011110
310021010102121202112110
4133303002100101132
51024410402204002
623403522214450
72316035062020
oct376302202136
9107112552473
1034142225502
111353043a3a0
12674a1b4426
1332b15c2ac8
14191c622010
15d4c5e4e6c
hex7f309045e

34142225502 has 128 divisors (see below), whose sum is σ = 91843642368. Its totient is φ = 8188876800.

The previous prime is 34142225483. The next prime is 34142225521. The reversal of 34142225502 is 20552224143.

It is an interprime number because it is at equal distance from previous prime (34142225483) and next prime (34142225521).

It is a self number, because there is not a number n which added to its sum of digits gives 34142225502.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 375252 + ... + 457272.

It is an arithmetic number, because the mean of its divisors is an integer number (717528456).

Almost surely, 234142225502 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34142225502, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45921821184).

34142225502 is an abundant number, since it is smaller than the sum of its proper divisors (57701416866).

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

34142225502 is a wasteful number, since it uses less digits than its factorization.

34142225502 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82114.

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 34142225502 its reverse (20552224143), we get a palindrome (54694449645).

The spelling of 34142225502 in words is "thirty-four billion, one hundred forty-two million, two hundred twenty-five thousand, five hundred two".

Divisors: 1 2 3 6 7 11 14 17 21 22 33 34 42 51 53 66 77 102 106 119 154 159 187 231 238 318 357 371 374 462 561 583 714 742 901 1113 1122 1166 1309 1749 1802 2226 2618 2703 3498 3927 4081 5406 6307 7854 8162 9911 12243 12614 18921 19822 24486 29733 37842 59466 69377 82021 138754 164042 208131 246063 416262 492126 574147 902231 1148294 1394357 1722441 1804462 2706693 2788714 3444882 4183071 4347113 5413386 6315617 8366142 8694226 9760499 12631234 13041339 15337927 18946851 19520998 26082678 29281497 30429791 30675854 37893702 46013781 47818243 58562994 60859582 73900921 91289373 92027562 95636486 107365489 143454729 147801842 182578746 214730978 221702763 286909458 322096467 334727701 443405526 517306447 644192934 669455402 812910131 1004183103 1034612894 1551919341 1625820262 2008366206 2438730393 3103838682 4877460786 5690370917 11380741834 17071112751 34142225502