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141131344214322 = 232721143338293577
BaseRepresentation
bin100000000101101110110011…
…101000110111100100110010
3200111201000200000222101002200
4200011232303220313210302
5121444243443104324242
61220054502223524030
741504255163322500
oct4005566350674462
9614630600871080
10141131344214322
1140a725155823a0
12139b4249759616
1360998231c9847
1426bcb1754d670
15114b23badc04c
hex805bb3a37932

141131344214322 has 144 divisors (see below), whose sum is σ = 397070057416032. Its totient is φ = 35804992083840.

The previous prime is 141131344214251. The next prime is 141131344214327. The reversal of 141131344214322 is 223412443131141.

141131344214322 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 313 + 4 + 4 + 2 + 14 + 322 = 666.

It is not an unprimeable number, because it can be changed into a prime (141131344214327) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 168729603 + ... + 169563974.

It is an arithmetic number, because the mean of its divisors is an integer number (2757430954278).

Almost surely, 2141131344214322 is an apocalyptic number.

141131344214322 is an abundant number, since it is smaller than the sum of its proper divisors (255938713201710).

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

141131344214322 is a wasteful number, since it uses less digits than its factorization.

141131344214322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338293653 (or 338293643 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

Adding to 141131344214322 its reverse (223412443131141), we get a palindrome (364543787345463).

The spelling of 141131344214322 in words is "one hundred forty-one trillion, one hundred thirty-one billion, three hundred forty-four million, two hundred fourteen thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 43 49 63 66 77 86 98 99 126 129 147 154 198 231 258 294 301 387 441 462 473 539 602 693 774 882 903 946 1078 1386 1419 1617 1806 2107 2709 2838 3234 3311 4214 4257 4851 5418 6321 6622 8514 9702 9933 12642 18963 19866 23177 29799 37926 46354 59598 69531 139062 208593 417186 338293577 676587154 1014880731 2029761462 2368055039 3044642193 3721229347 4736110078 6089284386 7104165117 7442458694 11163688041 14208330234 14546623811 16576385273 21312495351 22327376082 26048605429 29093247622 33152770546 33491064123 42624990702 43639871433 49729155819 52097210858 66982128246 78145816287 87279742866 99458311638 101826366677 130919614299 149187467457 156291632574 160012861921 182340238003 203652733354 234437448861 261839228598 298374934914 305479100031 320025723842 364680476006 468874897722 480038585763 547020714009 610958200062 712784566739 916437300093 960077171526 1094041428018 1120090033447 1425569133478 1440115757289 1641062142027 1832874600186 2138353700217 2240180066894 2880231514578 3282124284054 3360270100341 4276707400434 6415061100651 6720540200682 7840630234129 10080810301023 12830122201302 15681260468258 20161620602046 23521890702387 47043781404774 70565672107161 141131344214322