Search a number
-
+
4234413443442 = 2371338321299511
BaseRepresentation
bin111101100111100110101…
…101011000100101110010
3112222210202112221110000220
4331213212231120211302
51023334034320142232
613001132423353510
7614632466255040
oct75474655304562
915883675843026
104234413443442
111392893aa8216
125847a85b2896
132493c396b9a0
14108d37a83390
157523074a42c
hex3d9e6b58972

4234413443442 has 128 divisors (see below), whose sum is σ = 10456393973760. Its totient is φ = 1113212298240.

The previous prime is 4234413443431. The next prime is 4234413443473. The reversal of 4234413443442 is 2443443144324.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 4234413443394 and 4234413443403.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 445207467 + ... + 445216977.

It is an arithmetic number, because the mean of its divisors is an integer number (81690577920).

Almost surely, 24234413443442 is an apocalyptic number.

4234413443442 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4234413443442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5228196986880).

4234413443442 is an abundant number, since it is smaller than the sum of its proper divisors (6221980530318).

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

4234413443442 is a wasteful number, since it uses less digits than its factorization.

4234413443442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12048.

The product of its digits is 1769472, while the sum is 42.

Adding to 4234413443442 its reverse (2443443144324), we get a palindrome (6677856587766).

The spelling of 4234413443442 in words is "four trillion, two hundred thirty-four billion, four hundred thirteen million, four hundred forty-three thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 383 546 766 1149 2129 2298 2681 4258 4979 5362 6387 8043 9511 9958 12774 14903 14937 16086 19022 27677 28533 29806 29874 34853 44709 55354 57066 66577 69706 83031 89418 104559 123643 133154 166062 193739 199731 209118 247286 370929 387478 399462 581217 741858 815407 865501 1162434 1630814 1731002 2446221 2596503 3642713 4892442 5193006 5707849 7285426 10600291 10928139 11415698 17123547 20248919 21200582 21856278 25498991 31800873 34247094 40497838 47355269 50997982 60746757 63601746 74202037 76496973 94710538 121493514 141742433 142065807 148404074 152993946 222606111 263235947 283484866 284131614 331486883 425227299 445212222 526471894 662973766 789707841 850454598 994460649 1579415682 1842651629 1988921298 3685303258 5527954887 7755335977 11055909774 15510671954 23266007931 46532015862 54287351839 100819367701 108574703678 162862055517 201638735402 302458103103 325724111034 604916206206 705735573907 1411471147814 2117206721721 4234413443442