Search a number
-
+
534342331340240 = 24561678631893713
BaseRepresentation
bin111100101111110110100010…
…0110110010001010111010000
32121001221121221210210000200012
41321133231010312101113100
51030014131043310341430
65132241251143414052
7220356650045054663
oct17137550466212720
92531847853700605
10534342331340240
111452923458471a5
124bb1b159754328
1319c2035b7a8987
1495d4441d216da
1541b970c33a695
hex1e5fb44d915d0

534342331340240 has 160 divisors (see below), whose sum is σ = 1283044380189696. Its totient is φ = 206855161159680.

The previous prime is 534342331340221. The next prime is 534342331340261. The reversal of 534342331340240 is 42043133243435.

It is a congruent 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, 281219624 + ... + 283113336.

Almost surely, 2534342331340240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 534342331340240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641522190094848).

534342331340240 is an abundant number, since it is smaller than the sum of its proper divisors (748702048849456).

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

534342331340240 is a wasteful number, since it uses less digits than its factorization.

534342331340240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1894717 (or 1894711 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 41.

Adding to 534342331340240 its reverse (42043133243435), we get a palindrome (576385464583675).

The spelling of 534342331340240 in words is "five hundred thirty-four trillion, three hundred forty-two billion, three hundred thirty-one million, three hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 61 67 80 122 134 244 268 305 335 488 536 610 670 863 976 1072 1220 1340 1726 2440 2680 3452 4087 4315 4880 5360 6904 8174 8630 13808 16348 17260 20435 32696 34520 40870 52643 57821 65392 69040 81740 105286 115642 163480 210572 231284 263215 289105 326960 421144 462568 526430 578210 842288 925136 1052860 1156420 1893713 2105720 2312840 3527081 3787426 4211440 4625680 7054162 7574852 9468565 14108324 15149704 17635405 18937130 28216648 30299408 35270810 37874260 56433296 70541620 75748520 115516493 126878771 141083240 151497040 231032986 253757542 282166480 462065972 507515084 577582465 634393855 924131944 1015030168 1155164930 1268787710 1634274319 1848263888 2030060336 2310329860 2537575420 3268548638 4620659720 5075150840 6537097276 7739605031 8171371595 9241319440 10150301680 13074194552 15479210062 16342743190 26148389104 30958420124 32685486380 38698025155 61916840248 65370972760 77396050310 99690733459 109496379373 123833680496 130741945520 154792100620 199381466918 218992758746 309584201240 398762933836 437985517492 498453667295 547481896865 619168402480 797525867672 875971034984 996907334590 1094963793730 1595051735344 1751942069968 1993814669180 2189927587460 3987629338360 4379855174920 6679279141753 7975258676720 8759710349840 13358558283506 26717116567012 33396395708765 53434233134024 66792791417530 106868466268048 133585582835060 267171165670120 534342331340240