Search a number
-
+
302433104134040 = 2351117291394214937
BaseRepresentation
bin100010011000011111011000…
…1101111010111111110011000
31110122211022201000122001120112
41010300332301233113332120
5304120030444124242130
62551115503333543452
7120463033153411355
oct10460766157277630
91418738630561515
10302433104134040
1188401182961570
1229b0568a7a4b88
13cc9a41c7b41c9
145497ba9c8562c
1524e6ea4622495
hex1130fb1bd7f98

302433104134040 has 128 divisors (see below), whose sum is σ = 813106151841600. Its totient is φ = 99937326612480.

The previous prime is 302433104134027. The next prime is 302433104134081. The reversal of 302433104134040 is 40431401334203.

It is a junction number, because it is equal to n+sod(n) for n = 302433104133988 and 302433104134006.

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, 696890549 + ... + 697324388.

Almost surely, 2302433104134040 is an apocalyptic number.

It is an amenable number.

302433104134040 is an abundant number, since it is smaller than the sum of its proper divisors (510673047707560).

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

302433104134040 is a wasteful number, since it uses less digits than its factorization.

302433104134040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1394215005 (or 1394215001 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 302433104134040 its reverse (40431401334203), we get a palindrome (342864505468243).

The spelling of 302433104134040 in words is "three hundred two trillion, four hundred thirty-three billion, one hundred four million, one hundred thirty-four thousand, forty".

Divisors: 1 2 4 5 8 10 11 17 20 22 29 34 40 44 55 58 68 85 88 110 116 136 145 170 187 220 232 290 319 340 374 440 493 580 638 680 748 935 986 1160 1276 1496 1595 1870 1972 2465 2552 3190 3740 3944 4930 5423 6380 7480 9860 10846 12760 19720 21692 27115 43384 54230 108460 216920 1394214937 2788429874 5576859748 6971074685 11153719496 13942149370 15336364307 23701653929 27884298740 30672728614 40432233173 47403307858 55768597480 61345457228 76681821535 80864466346 94806615716 118508269645 122690914456 153363643070 161728932692 189613231432 202161165865 237016539290 260718193219 306727286140 323457865384 404322331730 444754564903 474033078580 521436386438 613454572280 687347963941 808644663460 889509129806 948066157160 1042872772876 1303590966095 1374695927882 1617289326920 1779018259612 2085745545752 2223772824515 2607181932190 2749391855764 3436739819705 3558036519224 4447545649030 5214363864380 5498783711528 6873479639410 7560827603351 8895091298060 10428727728760 13746959278820 15121655206702 17790182596120 27493918557640 30243310413404 37804138016755 60486620826808 75608276033510 151216552067020 302433104134040