Search a number
-
+
401123312143345 = 511717011033141853
BaseRepresentation
bin101101100110100011100110…
…0100010000000101111110001
31221121021000101022020110122001
41123031013030202000233301
5410034001020402041340
63541041301120414001
7150330126416413351
oct13315071442005761
91847230338213561
10401123312143345
111068a0494494a60
1238ba4475777301
13142a89c5c7528c
14710a686c54b61
1531592104eb29a
hex16cd1cc880bf1

401123312143345 has 64 divisors (see below), whose sum is σ = 533782375746048. Its totient is φ = 286926877440000.

The previous prime is 401123312143277. The next prime is 401123312143349. The reversal of 401123312143345 is 543341213321104.

It is not a de Polignac number, because 401123312143345 - 211 = 401123312141297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (401123312143349) 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 63 ways as a sum of consecutive naturals, for example, 2827668439 + ... + 2827810291.

It is an arithmetic number, because the mean of its divisors is an integer number (8340349621032).

Almost surely, 2401123312143345 is an apocalyptic number.

It is an amenable number.

401123312143345 is a deficient number, since it is larger than the sum of its proper divisors (132659063602703).

401123312143345 is a wasteful number, since it uses less digits than its factorization.

401123312143345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143674.

The product of its (nonzero) digits is 103680, while the sum is 37.

Adding to 401123312143345 its reverse (543341213321104), we get a palindrome (944464525464449).

The spelling of 401123312143345 in words is "four hundred one trillion, one hundred twenty-three billion, three hundred twelve million, one hundred forty-three thousand, three hundred forty-five".

Divisors: 1 5 11 55 71 355 701 781 1033 3505 3905 5165 7711 11363 38555 49771 56815 73343 141853 248855 366715 547481 709265 724133 806773 1560383 2737405 3620665 4033865 7801915 7965463 10071563 39827315 50357815 51413443 99438953 110787193 146534149 257067215 497194765 553935965 565547873 732670745 1093828483 1611875639 2827739365 5469142415 7060165663 8059378195 10403924579 35300828315 52019622895 77661822293 102720438449 114443170369 388309111465 513602192245 572215851845 1129924822939 5649624114695 7293151129879 36465755649395 80224662428669 401123312143345