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140213324324322 = 23441832411055347
BaseRepresentation
bin11111111000010111110101…
…011000111001110111100010
3200101110021002122121000220000
4133320113311120321313202
5121334223342011334242
61214113040103400430
741351035613106504
oct3770276530716742
9611407078530800
10140213324324322
1140749156255527
1213886346753116
1360310a1367b42
14268a50ac3dd74
15113240c5c8a4c
hex7f85f5639de2

140213324324322 has 160 divisors (see below), whose sum is σ = 327074178239424. Its totient is φ = 44861492044800.

The previous prime is 140213324324267. The next prime is 140213324324329. The reversal of 140213324324322 is 223423423312041.

140213324324322 is a `hidden beast` number, since 1 + 4 + 0 + 2 + 1 + 3 + 3 + 2 + 4 + 324 + 322 = 666.

It is not an unprimeable number, because it can be changed into a prime (140213324324329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 132332253 + ... + 133387599.

Almost surely, 2140213324324322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140213324324322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163537089119712).

140213324324322 is an abundant number, since it is smaller than the sum of its proper divisors (186860853915102).

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

140213324324322 is a wasteful number, since it uses less digits than its factorization.

140213324324322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055726 (or 1055717 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 140213324324322 its reverse (223423423312041), we get a palindrome (363636747636363).

The spelling of 140213324324322 in words is "one hundred forty trillion, two hundred thirteen billion, three hundred twenty-four million, three hundred twenty-four thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 83 123 162 166 241 246 249 369 482 498 723 738 747 1107 1446 1494 2169 2214 2241 3321 3403 4338 4482 6507 6642 6723 6806 9881 10209 13014 13446 19521 19762 20003 20418 29643 30627 39042 40006 59286 60009 61254 88929 91881 120018 177858 180027 183762 266787 275643 360054 533574 540081 551286 800361 820123 1055347 1080162 1600722 1620243 1640246 2110694 2460369 3166041 3240486 4920738 6332082 7381107 9498123 14762214 18996246 22143321 28494369 43269227 44286642 56988738 66429963 85483107 86538454 87593801 129807681 132859926 170966214 175187602 254338627 259615362 262781403 389423043 508677254 525562806 763015881 778846086 788344209 1168269129 1526031762 1576688418 2289047643 2336538258 2365032627 3504807387 3591345841 4578095286 4730065254 6867142929 7009614774 7095097881 7182691682 10427883707 10774037523 13734285858 14190195762 20601428787 20855767414 21110106041 21548075046 31283651121 32322112569 41202857574 42220212082 62567302242 63330318123 64644225138 93850953363 96966337707 126660636246 187701906726 189990954369 193932675414 281552860089 290899013121 379981908738 563105720178 569972863107 581798026242 844658580267 865514347681 1139945726214 1689317160534 1709918589321 1731028695362 2596543043043 3419837178642 5193086086086 7789629129129 15579258258258 23368887387387 46737774774774 70106662162161 140213324324322