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440431101324 = 22352950930697
BaseRepresentation
bin1100110100010111011…
…11010100010110001100
31120002211101211010100000
412122023233110112030
524204000330220244
6534155315004300
743551202406664
oct6321357242614
91502741733300
10440431101324
1115a870969225
1271437599690
13326bcb01536
1417461b0d1a4
15b6cb189169
hex668bbd458c

440431101324 has 144 divisors (see below), whose sum is σ = 1196743111200. Its totient is φ = 141464848896.

The previous prime is 440431101307. The next prime is 440431101349. The reversal of 440431101324 is 423101134044.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14332344 + ... + 14363040.

It is an arithmetic number, because the mean of its divisors is an integer number (8310716050).

Almost surely, 2440431101324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440431101324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598371555600).

440431101324 is an abundant number, since it is smaller than the sum of its proper divisors (756312009876).

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

440431101324 is a wasteful number, since it uses less digits than its factorization.

440431101324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31254 (or 31240 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 440431101324 its reverse (423101134044), we get a palindrome (863532235368).

The spelling of 440431101324 in words is "four hundred forty billion, four hundred thirty-one million, one hundred one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 243 261 324 348 486 509 522 783 972 1018 1044 1527 1566 2036 2349 3054 3132 4581 4698 6108 7047 9162 9396 13743 14094 14761 18324 27486 28188 29522 30697 41229 44283 54972 59044 61394 82458 88566 92091 122788 123687 132849 164916 177132 184182 247374 265698 276273 368364 398547 494748 531396 552546 797094 828819 890213 1105092 1195641 1594188 1657638 1780426 2391282 2486457 2670639 3315276 3560852 3586923 4782564 4972914 5341278 7173846 7459371 8011917 9945828 10682556 14347692 14918742 15624773 16023834 24035751 29837484 31249546 32047668 46874319 48071502 62499092 72107253 93748638 96143004 140622957 144214506 187497276 216321759 281245914 288429012 421868871 432643518 453118417 562491828 843737742 865287036 906236834 1265606613 1359355251 1687475484 1812473668 2531213226 2718710502 3796819839 4078065753 5062426452 5437421004 7593639678 8156131506 12234197259 15187279356 16312263012 24468394518 36702591777 48936789036 73405183554 110107775331 146810367108 220215550662 440431101324