Search a number
-
+
40803635102880 = 2535136539044087
BaseRepresentation
bin10010100011100010101100…
…01011010000010010100000
312100110210022111011010000010
421101301112023100102200
520322011321041243010
6222440533045324520
711410652054521236
oct1121612613202240
9170423274133003
1040803635102880
11120017a72a3421
1246b0026a06740
13199c9c6694a90
14a10c9952a956
154ab5e2206620
hex251c562d04a0

40803635102880 has 96 divisors (see below), whose sum is σ = 138418485254784. Its totient is φ = 10043971716096.

The previous prime is 40803635102851. The next prime is 40803635102903. The reversal of 40803635102880 is 8820153630804.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3269515804 + ... + 3269528283.

It is an arithmetic number, because the mean of its divisors is an integer number (1441859221404).

Almost surely, 240803635102880 is an apocalyptic number.

40803635102880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40803635102880 is an abundant number, since it is smaller than the sum of its proper divisors (97614850151904).

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

40803635102880 is a wasteful number, since it uses less digits than its factorization.

40803635102880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6539044118 (or 6539044110 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 40803635102880 in words is "forty trillion, eight hundred three billion, six hundred thirty-five million, one hundred two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 6539044087 13078088174 19617132261 26156176348 32695220435 39234264522 52312352696 65390440870 78468529044 85007573131 98085661305 104624705392 130780881740 156937058088 170015146262 196171322610 209249410784 255022719393 261561763480 313874116176 340030292524 392342645220 425037865655 510045438786 523123526960 627748232352 680060585048 784685290440 850075731310 1020090877572 1046247053920 1275113596965 1360121170096 1569370580880 1700151462620 2040181755144 2550227193930 2720242340192 3138741161760 3400302925240 4080363510288 5100454387860 6800605850480 8160727020576 10200908775720 13601211700960 20401817551440 40803635102880