Search a number
-
+
239926485744088 = 231113593851923053
BaseRepresentation
bin110110100011011000111100…
…111101000111100111011000
31011110111202012022111221011221
4312203120330331013213120
5222421423420322302323
62210140412252101424
7101352054660455533
oct6643307475074730
91143452168457157
10239926485744088
116a4a2284371920
1222aab43a764874
13a3b4c80320920
14433670a897a1a
151cb1089dc455d
hexda363cf479d8

239926485744088 has 128 divisors (see below), whose sum is σ = 537607326009600. Its totient is φ = 98936405568000.

The previous prime is 239926485744079. The next prime is 239926485744089. The reversal of 239926485744088 is 880447584629932.

It is a junction number, because it is equal to n+sod(n) for n = 239926485743999 and 239926485744017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (239926485744089) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 259465570 + ... + 260388622.

It is an arithmetic number, because the mean of its divisors is an integer number (4200057234450).

Almost surely, 2239926485744088 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 239926485744088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268803663004800).

239926485744088 is an abundant number, since it is smaller than the sum of its proper divisors (297680840265512).

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

239926485744088 is a wasteful number, since it uses less digits than its factorization.

239926485744088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926993 (or 926989 counting only the distinct ones).

The product of its (nonzero) digits is 6688604160, while the sum is 79.

The spelling of 239926485744088 in words is "two hundred thirty-nine trillion, nine hundred twenty-six billion, four hundred eighty-five million, seven hundred forty-four thousand, eighty-eight".

Divisors: 1 2 4 8 11 13 22 26 44 52 59 88 104 118 143 236 286 472 572 649 767 1144 1298 1534 2596 3068 3851 5192 6136 7702 8437 15404 16874 30808 33748 42361 50063 67496 84722 100126 169444 200252 227209 338888 400504 454418 550693 908836 923053 1101386 1817672 1846106 2202772 2499299 2953717 3692212 4405544 4998598 5907434 7384424 9997196 10153583 11814868 11999689 19994392 20307166 23629736 23999378 32490887 40614332 47998756 54460127 64981774 81228664 95997512 108920254 129963548 131996579 217840508 259927096 263993158 435681016 527986316 599061397 707981651 1055972632 1198122794 1415963302 2396245588 2831926604 3554677103 4792491176 5663853208 7109354206 7787798161 14218708412 15575596322 28437416824 31151192644 39101448133 46210802339 62302385288 78202896266 92421604678 156405792532 184843209356 209725949077 312811585064 369686418712 419451898154 508318825729 838903796308 1016637651458 1677807592616 2033275302916 2306985439847 2726437338001 4066550605832 4613970879694 5452874676002 9227941759388 10905749352004 18455883518776 21811498704008 29990810718011 59981621436022 119963242872044 239926485744088