Search a number
-
+
341002402104042 = 233711815059150991
BaseRepresentation
bin100110110001000111100111…
…1000010111000001011101010
31122201101111210201021112221000
41031202033033002320023222
5324143440404414312132
63205130201344255430
7131553416262041460
oct11542171702701352
91581344721245830
10341002402104042
1199721341089838
12322b4672611576
131183750880c643
14602c8663a4830
1529653c5b3187c
hex13623cf0b82ea

341002402104042 has 128 divisors (see below), whose sum is σ = 866948229734400. Its totient is φ = 97326873604800.

The previous prime is 341002402103971. The next prime is 341002402104053. The reversal of 341002402104042 is 240401204200143.

341002402104042 is a `hidden beast` number, since 3 + 4 + 1 + 0 + 0 + 2 + 40 + 210 + 404 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 341002402103997 and 341002402104015.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2258353167 + ... + 2258504157.

It is an arithmetic number, because the mean of its divisors is an integer number (6773033044800).

Almost surely, 2341002402104042 is an apocalyptic number.

341002402104042 is an abundant number, since it is smaller than the sum of its proper divisors (525945827630358).

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

341002402104042 is a wasteful number, since it uses less digits than its factorization.

341002402104042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157249 (or 157243 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 341002402104042 its reverse (240401204200143), we get a palindrome (581403606304185).

The spelling of 341002402104042 in words is "three hundred forty-one trillion, two billion, four hundred two million, one hundred four thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 1181 2362 3543 5059 7086 8267 10118 10629 15177 16534 21258 24801 30354 31887 35413 45531 49602 63774 70826 74403 91062 106239 136593 148806 150991 212478 223209 273186 301982 318717 446418 452973 637434 905946 956151 1056937 1358919 1912302 2113874 2717838 3170811 4076757 5974679 6341622 8153514 9512433 11949358 17924037 19024866 28537299 35848074 41822753 53772111 57074598 83645506 107544222 125468259 161316333 178320371 250936518 322632666 356640742 376404777 534961113 752809554 763863469 1069922226 1129214331 1248242597 1527726938 1604883339 2258428662 2291590407 2496485194 3209766678 3744727791 4583180814 4814650017 5347044283 6874771221 7489455582 9629300034 10694088566 11234183373 13749542442 16041132849 20624313663 22468366746 32082265698 33702550119 41248627326 48123398547 67405100238 96246797094 144370195641 288740391282 902122756889 1804245513778 2706368270667 5412736541334 6314859298223 8119104812001 12629718596446 16238209624002 18944577894669 24357314436003 37889155789338 48714628872006 56833733684007 113667467368014 170501201052021 341002402104042