Search a number
-
+
80400040448880 = 24352372720034697
BaseRepresentation
bin10010010001111110010111…
…110110011101001101110000
3101112200011120001112102001110
4102101332113312131031300
541014233240323331010
6442555134011433320
722635465644616165
oct2221762766351560
9345604501472043
1080400040448880
1123688513899369
129026096a55840
1335b28ca9934b9
1415bd55028606c
159465c9b72120
hex491f97d9d370

80400040448880 has 160 divisors (see below), whose sum is σ = 260434405131264. Its totient is φ = 20479626528768.

The previous prime is 80400040448803. The next prime is 80400040448891. The reversal of 80400040448880 is 8884404000408.

It is a happy number.

It is a super-2 number, since 2×804000404488802 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 6004309 + ... + 14030388.

Almost surely, 280400040448880 is an apocalyptic number.

80400040448880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

80400040448880 is an abundant number, since it is smaller than the sum of its proper divisors (180034364682384).

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

80400040448880 is a wasteful number, since it uses less digits than its factorization.

80400040448880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20035463 (or 20035457 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 48.

The spelling of 80400040448880 in words is "eighty trillion, four hundred billion, forty million, four hundred forty-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 727 920 1104 1380 1454 1840 2181 2760 2908 3635 4362 5520 5816 7270 8724 10905 11632 14540 16721 17448 21810 29080 33442 34896 43620 50163 58160 66884 83605 87240 100326 133768 167210 174480 200652 250815 267536 334420 401304 501630 668840 802608 1003260 1337680 2006520 4013040 20034697 40069394 60104091 80138788 100173485 120208182 160277576 200346970 240416364 300520455 320555152 400693940 460798031 480832728 601040910 801387880 921596062 961665456 1202081820 1382394093 1602775760 1843192124 2303990155 2404163640 2764788186 3686384248 4607980310 4808327280 5529576372 6911970465 7372768496 9215960620 11059152744 13823940930 14565224719 18431921240 22118305488 27647881860 29130449438 36863842480 43695674157 55295763720 58260898876 72826123595 87391348314 110591527440 116521797752 145652247190 174782696628 218478370785 233043595504 291304494380 335000168537 349565393256 436956741570 582608988760 670000337074 699130786512 873913483140 1005000505611 1165217977520 1340000674148 1675000842685 1747826966280 2010001011222 2680001348296 3350001685370 3495653932560 4020002022444 5025002528055 5360002696592 6700003370740 8040004044888 10050005056110 13400006741480 16080008089776 20100010112220 26800013482960 40200020224440 80400040448880