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131334441420140 = 225721316191652687
BaseRepresentation
bin11101110111001010101110…
…101110100100010101101100
3122020000110011000222011102022
4131313022232232210111230
5114203240414000421030
61143154113124445312
736443412614501600
oct3567125656442554
9566013130864368
10131334441420140
1138935695333102
12128915b2849838
135838a27c4a76a
1424608999ad500
15102b49beb3de5
hex7772aeba456c

131334441420140 has 144 divisors (see below), whose sum is σ = 323802830292480. Its totient is φ = 44613002528640.

The previous prime is 131334441420097. The next prime is 131334441420209. The reversal of 131334441420140 is 41024144433131.

It is a super-3 number, since 3×1313344414201403 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 131334441420140.

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, 78640877 + ... + 80293563.

It is an arithmetic number, because the mean of its divisors is an integer number (2248630765920).

Almost surely, 2131334441420140 is an apocalyptic number.

131334441420140 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 131334441420140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161901415146240).

131334441420140 is an abundant number, since it is smaller than the sum of its proper divisors (192468388872340).

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

131334441420140 is a wasteful number, since it uses less digits than its factorization.

131334441420140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653460 (or 1653451 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

Adding to 131334441420140 its reverse (41024144433131), we get a palindrome (172358585853271).

The spelling of 131334441420140 in words is "one hundred thirty-one trillion, three hundred thirty-four billion, four hundred forty-one million, four hundred twenty thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 131 140 196 245 262 490 524 619 655 917 980 1238 1310 1834 2476 2620 3095 3668 4333 4585 6190 6419 8666 9170 12380 12838 17332 18340 21665 25676 30331 32095 43330 60662 64190 81089 86660 121324 128380 151655 162178 303310 324356 405445 567623 606620 810890 1135246 1621780 1652687 2270492 2838115 3305374 3973361 5676230 6610748 7946722 8263435 11352460 11568809 15893444 16526870 19866805 23137618 33053740 39733610 46275236 57844045 79467220 80981663 115688090 161963326 216501997 231376180 323926652 404908315 433003994 809816630 866007988 1023013253 1082509985 1515513979 1619633260 2046026506 2165019970 3031027958 4092053012 4330039940 5115066265 6062055916 7161092771 7577569895 10230132530 10608597853 14322185542 15155139790 20460265060 21217195706 28644371084 30310279580 35805463855 42434391412 50127649397 53042989265 71610927710 100255298794 106085978530 134014736143 143221855420 200510597588 212171957060 250638246985 268029472286 501276493970 536058944572 670073680715 938103153001 1002552987940 1340147361430 1876206306002 2680294722860 3752412612004 4690515765005 6566722071007 9381031530010 13133444142014 18762063060020 26266888284028 32833610355035 65667220710070 131334441420140