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440322144234 = 237176713616763
BaseRepresentation
bin1100110100001010011…
…11101011011111101010
31120002112210210112022020
412122011033223133222
524203234432103414
6534140423405310
743545410320560
oct6320517533752
91502483715266
10440322144234
1115a81540a145
1271406bb3836
13326a3372a9b
1417451469a30
15b6c18157a9
hex66853eb7ea

440322144234 has 128 divisors (see below), whose sum is σ = 1082513590272. Its totient is φ = 116535767040.

The previous prime is 440322144221. The next prime is 440322144263. The reversal of 440322144234 is 432441223044.

It is a junction number, because it is equal to n+sod(n) for n = 440322144195 and 440322144204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65104137 + ... + 65110899.

It is an arithmetic number, because the mean of its divisors is an integer number (8457137424).

Almost surely, 2440322144234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440322144234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541256795136).

440322144234 is an abundant number, since it is smaller than the sum of its proper divisors (642191446038).

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

440322144234 is a wasteful number, since it uses less digits than its factorization.

440322144234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8220.

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 440322144234 its reverse (432441223044), we get a palindrome (872763367278).

The spelling of 440322144234 in words is "four hundred forty billion, three hundred twenty-two million, one hundred forty-four thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 67 102 119 134 201 238 357 402 469 714 938 1139 1361 1407 2278 2722 2814 3417 4083 6763 6834 7973 8166 9527 13526 15946 19054 20289 23137 23919 28581 40578 46274 47341 47838 57162 69411 91187 94682 114971 138822 142023 161959 182374 229942 273561 284046 323918 344913 453121 485877 547122 638309 689826 804797 906242 971754 1276618 1359363 1550179 1609594 1914927 2414391 2718726 3100358 3171847 3829854 4650537 4828782 6343694 7703057 9204443 9301074 9515541 10851253 15406114 18408886 19031082 21702506 23109171 27613329 32553759 46218342 53921399 55226658 64431101 65107518 107842798 128862202 156475531 161764197 193293303 312951062 323528394 386586606 469426593 616697681 938853186 1095328717 1233395362 1850093043 2190657434 3285986151 3700186086 4316883767 6571972302 8633767534 10483860577 12950651301 20967721154 25901302602 31451581731 62903163462 73387024039 146774048078 220161072117 440322144234