Search a number
-
+
141201043122344 = 23233722112656649
BaseRepresentation
bin100000000110101111101110…
…000001000110100010101000
3200111221200120110202202102112
4200012233232001012202220
5122001414214014403334
61220150510321221452
741512303323264122
oct4006575601064250
9614850513682375
10141201043122344
1140a9a031814617
1213a0585b791888
1360a328015335a
1426c224a18a212
15114ce6aa754ce
hex806bee0468a8

141201043122344 has 96 divisors (see below), whose sum is σ = 285277027896000. Its totient is φ = 65394346913280.

The previous prime is 141201043122329. The next prime is 141201043122361. The reversal of 141201043122344 is 443221340102141.

It is a self number, because there is not a number n which added to its sum of digits gives 141201043122344.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51821732 + ... + 54478380.

It is an arithmetic number, because the mean of its divisors is an integer number (2971635707250).

Almost surely, 2141201043122344 is an apocalyptic number.

It is an amenable number.

141201043122344 is an abundant number, since it is smaller than the sum of its proper divisors (144075984773656).

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

141201043122344 is a wasteful number, since it uses less digits than its factorization.

141201043122344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2656963 (or 2656922 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 141201043122344 its reverse (443221340102141), we get a palindrome (584422383224485).

The spelling of 141201043122344 in words is "one hundred forty-one trillion, two hundred one billion, forty-three million, one hundred twenty-two thousand, three hundred forty-four".

Divisors: 1 2 4 8 23 37 46 74 92 148 184 211 296 422 844 851 1369 1688 1702 2738 3404 4853 5476 6808 7807 9706 10952 15614 19412 31228 31487 38824 62456 62974 125948 179561 251896 288859 359122 577718 718244 1155436 1436488 2310872 2656649 5313298 6643757 10626596 13287514 21253192 26575028 53150056 61102927 98296013 122205854 196592026 244411708 393184052 488823416 560552939 786368104 1121105878 2242211756 2260808299 3636952481 4484423512 4521616598 7273904962 9043233196 12892717597 14547809924 18086466392 20740458743 25785435194 29095619848 41480917486 51570870388 82961834972 83649907063 103141740776 165923669944 167299814126 334599628252 477030551089 669199256504 767396973491 954061102178 1534793946982 1908122204356 3069587893964 3816244408712 6139175787928 17650130390293 35300260780586 70600521561172 141201043122344