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442531054410 = 235431972816197
BaseRepresentation
bin1100111000010001110…
…10000000001101001010
31120022020202020210102020
412130020322000031022
524222300422220120
6535143532145310
743654221620124
oct6341072001512
91508222223366
10442531054410
11160749275045
1271922908236
1332965ba3c23
14175c0986214
15b7a06e2640
hex6708e8034a

442531054410 has 128 divisors (see below), whose sum is σ = 1096354600704. Its totient is φ = 114252257280.

The previous prime is 442531054397. The next prime is 442531054541. The reversal of 442531054410 is 14450135244.

It is a happy number.

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, 71407432 + ... + 71413628.

It is an arithmetic number, because the mean of its divisors is an integer number (8565270318).

Almost surely, 2442531054410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442531054410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548177300352).

442531054410 is an abundant number, since it is smaller than the sum of its proper divisors (653823546294).

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

442531054410 is a wasteful number, since it uses less digits than its factorization.

442531054410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6728.

The product of its (nonzero) digits is 38400, while the sum is 33.

Adding to 442531054410 its reverse (14450135244), we get a palindrome (456981189654).

The spelling of 442531054410 in words is "four hundred forty-two billion, five hundred thirty-one million, fifty-four thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 197 215 258 281 394 430 562 591 645 843 985 1182 1290 1405 1686 1970 2810 2955 4215 5910 6197 8430 8471 12083 12394 16942 18591 24166 25413 30985 36249 37182 42355 50826 55357 60415 61970 72498 84710 92955 110714 120830 127065 166071 181245 185910 254130 266471 276785 332142 362490 532942 553570 799413 830355 1220809 1332355 1598826 1660710 1741357 2380351 2441618 2664710 3482714 3662427 3997065 4760702 5224071 6104045 7141053 7324854 7994130 8706785 10448142 11901755 12208090 14282106 17413570 18312135 23803510 26120355 35705265 36624270 52240710 52494787 71410530 74878351 104989574 149756702 157484361 224635053 262473935 314968722 343047329 374391755 449270106 524947870 686094658 748783510 787421805 1029141987 1123175265 1574843610 1715236645 2058283974 2246350530 3430473290 5145709935 10291419870 14751035147 29502070294 44253105441 73755175735 88506210882 147510351470 221265527205 442531054410