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122673343440 = 243519190714107
BaseRepresentation
bin111001000111111100…
…1101010101111010000
3102201122022112112021110
41302033321222233100
54002213333442230
6132204431253320
711601650133414
oct1621771525720
9381568475243
10122673343440
11480309a466a
121b93707a240
13b74ccc98ab
145d1a3dad44
1532cea224b0
hex1c8fe6abd0

122673343440 has 160 divisors (see below), whose sum is σ = 400540792320. Its totient is φ = 30972713472.

The previous prime is 122673343363. The next prime is 122673343451. The reversal of 122673343440 is 44343376221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8688867 + ... + 8702973.

It is an arithmetic number, because the mean of its divisors is an integer number (2503379952).

Almost surely, 2122673343440 is an apocalyptic number.

122673343440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122673343440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200270396160).

122673343440 is an abundant number, since it is smaller than the sum of its proper divisors (277867448880).

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

122673343440 is a wasteful number, since it uses less digits than its factorization.

122673343440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16049 (or 16043 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 39.

The spelling of 122673343440 in words is "one hundred twenty-two billion, six hundred seventy-three million, three hundred forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 1907 2280 3814 4560 5721 7628 9535 11442 14107 15256 19070 22884 28214 28605 30512 36233 38140 42321 45768 56428 57210 70535 72466 76280 84642 91536 108699 112856 114420 141070 144932 152560 169284 181165 211605 217398 225712 228840 268033 282140 289864 338568 362330 423210 434796 457680 536066 543495 564280 579728 677136 724660 804099 846420 869592 1072132 1086990 1128560 1340165 1449320 1608198 1692840 1739184 2144264 2173980 2680330 2898640 3216396 3385680 4020495 4288528 4347960 5360660 6432792 8040990 8695920 10721320 12865584 16081980 21442640 26902049 32163960 53804098 64327920 80706147 107608196 134510245 161412294 215216392 269020490 322824588 403530735 430432784 511138931 538040980 645649176 807061470 1022277862 1076081960 1291298352 1533416793 1614122940 2044555724 2152163920 2555694655 3066833586 3228245880 4089111448 5111389310 6133667172 6456491760 7667083965 8178222896 10222778620 12267334344 15334167930 20445557240 24534668688 30668335860 40891114480 61336671720 122673343440