Search a number
-
+
34240142401220 = 22573141192425213
BaseRepresentation
bin1111100100100001001111…
…00001100101111011000100
311111020022210101200102011102
413302100213201211323010
513441442302423314340
6200453412042155232
710132524435211130
oct762204741457304
9144208711612142
1034240142401220
11aa01187824018
123a0bb764b2b18
131614aa6c77682
14865335c463c0
153e59e846d215
hex1f2427865ec4

34240142401220 has 96 divisors (see below), whose sum is σ = 86896147838976. Its totient is φ = 11083692211200.

The previous prime is 34240142401163. The next prime is 34240142401243. The reversal of 34240142401220 is 2210424104243.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96034667 + ... + 96390546.

It is an arithmetic number, because the mean of its divisors is an integer number (905168206656).

Almost surely, 234240142401220 is an apocalyptic number.

It is an amenable number.

34240142401220 is an abundant number, since it is smaller than the sum of its proper divisors (52656005437756).

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

34240142401220 is a wasteful number, since it uses less digits than its factorization.

34240142401220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192425301 (or 192425299 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 34240142401220 its reverse (2210424104243), we get a palindrome (36450566505463).

The spelling of 34240142401220 in words is "thirty-four trillion, two hundred forty billion, one hundred forty-two million, four hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 41 62 70 82 124 140 155 164 205 217 287 310 410 434 574 620 820 868 1085 1148 1271 1435 2170 2542 2870 4340 5084 5740 6355 8897 12710 17794 25420 35588 44485 88970 177940 192425213 384850426 769700852 962126065 1346976491 1924252130 2693952982 3848504260 5387905964 5965181603 6734882455 7889433733 11930363206 13469764910 15778867466 23860726412 26939529820 29825908015 31557734932 39447168665 41756271221 55226036131 59651816030 78894337330 83512542442 110452072262 119303632060 157788674660 167025084884 208781356105 220904144524 244572445723 276130180655 417562712210 489144891446 552260361310 835125424420 978289782892 1104520722620 1222862228615 1712007120061 2445724457230 3424014240122 4891448914460 6848028480244 8560035600305 17120071200610 34240142401220