Search a number
-
+
444222434334 = 23732113832671
BaseRepresentation
bin1100111011011011011…
…10000110110000011110
31120110121121212210111010
412131231232012300132
524234231420344314
6540023432240050
744044150251000
oct6355556066036
91513547783433
10444222434334
11161436a8a898
1272115240026
1332b75422a53
1417701466370
15b84de42059
hex676db86c1e

444222434334 has 128 divisors (see below), whose sum is σ = 1044106444800. Its totient is φ = 125942191200.

The previous prime is 444222434311. The next prime is 444222434339. The reversal of 444222434334 is 433434222444.

It is a junction number, because it is equal to n+sod(n) for n = 444222434292 and 444222434301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444222434339) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 166311819 + ... + 166314489.

It is an arithmetic number, because the mean of its divisors is an integer number (8157081600).

Almost surely, 2444222434334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444222434334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522053222400).

444222434334 is an abundant number, since it is smaller than the sum of its proper divisors (599884010466).

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

444222434334 is a wasteful number, since it uses less digits than its factorization.

444222434334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3291 (or 3277 counting only the distinct ones).

The product of its digits is 884736, while the sum is 39.

Adding to 444222434334 its reverse (433434222444), we get a palindrome (877656656778).

The spelling of 444222434334 in words is "four hundred forty-four billion, two hundred twenty-two million, four hundred thirty-four thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 211 294 343 383 422 633 686 766 1029 1149 1266 1477 2058 2298 2671 2681 2954 4431 5342 5362 8013 8043 8862 10339 16026 16086 18697 18767 20678 31017 37394 37534 56091 56301 62034 72373 80813 112182 112602 130879 131369 144746 161626 217119 242439 261758 262738 392637 394107 434238 484878 563581 565691 785274 788214 916153 1022993 1127162 1131382 1690743 1697073 1832306 2045986 2748459 3068979 3381486 3394146 3945067 3959837 5496918 6137958 7160951 7890134 7919674 11835201 11879511 14321902 21482853 23670402 23759022 27615469 27718859 42965706 50126657 55230938 55437718 82846407 83156577 100253314 150379971 165692814 166313154 193308283 215851523 300759942 350886599 386616566 431703046 579924849 647554569 701773198 1052659797 1159849698 1295109138 1510960661 2105319594 3021921322 4532881983 9065763966 10576724627 21153449254 31730173881 63460347762 74037072389 148074144778 222111217167 444222434334