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444444444444462 = 2371119144793496901
BaseRepresentation
bin110010100001110000100100…
…1001110111100011100101110
32011021122110210111111220111220
41211003201021032330130232
5431223234210234210322
64213130543100124210
7162421023440321160
oct14503411116743456
92137573714456456
10444444444444462
11119682915278670
1241a20389236666
13160cbc15026307
147ba7323b9a930
15365b04749d55c
hex19438493bc72e

444444444444462 has 128 divisors (see below), whose sum is σ = 1166633647718400. Its totient is φ = 109356735312000.

The previous prime is 444444444444461. The next prime is 444444444444491. The reversal of 444444444444462 is 264444444444444.

It is a junction number, because it is equal to n+sod(n) for n = 444444444444396 and 444444444444405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444444444444461) 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, 125348212 + ... + 128845112.

It is an arithmetic number, because the mean of its divisors is an integer number (9114325372800).

Almost surely, 2444444444444462 is an apocalyptic number.

444444444444462 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 444444444444462, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583316823859200).

444444444444462 is an abundant number, since it is smaller than the sum of its proper divisors (722189203273938).

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

444444444444462 is a wasteful number, since it uses less digits than its factorization.

444444444444462 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3511422.

The product of its digits is 805306368, while the sum is 60.

The spelling of 444444444444462 in words is "four hundred forty-four trillion, four hundred forty-four billion, four hundred forty-four million, four hundred forty-four thousand, four hundred sixty-two".

Divisors: 1 2 3 6 7 11 14 19 21 22 33 38 42 57 66 77 114 133 154 209 231 266 399 418 462 627 798 1254 1463 2926 4389 8778 14479 28958 43437 86874 101353 159269 202706 275101 304059 318538 477807 550202 608118 825303 955614 1114883 1650606 1925707 2229766 3026111 3344649 3496901 3851414 5777121 6052222 6689298 6993802 9078333 10490703 11554242 18156666 20981406 21182777 24478307 38465911 42365554 48956614 63548331 66441119 73434921 76931822 115397733 127096662 132882238 146869842 199323357 230795466 269261377 398646714 465087833 538522754 730852309 807784131 930175666 1395263499 1461704618 1615568262 2192556927 2790526998 4385113854 5115966163 10231932326 15347898489 30695796978 50631629579 101263259158 151894888737 303789777474 354421407053 556947925369 708842814106 962000962001 1063264221159 1113895850738 1670843776107 1924001924002 2126528442318 2886002886003 3341687552214 3898635477583 5772005772006 6734006734007 7797270955166 10582010582011 11695906432749 13468013468014 20202020202021 21164021164022 23391812865498 31746031746033 40404040404042 63492063492066 74074074074077 148148148148154 222222222222231 444444444444462