Search a number
-
+
40836805800 = 23352721389007
BaseRepresentation
bin100110000010000100…
…000011010010101000
310220101222122200020220
4212002010003102220
51132113210241200
630432110250040
72643655056600
oct460204032250
9126358580226
1040836805800
111635634868a
127ab81b6920
133b0a55111b
141d95797c00
1510e01ce4a0
hex9821034a8

40836805800 has 144 divisors (see below), whose sum is σ = 147262628160. Its totient is φ = 9334120320.

The previous prime is 40836805787. The next prime is 40836805859. The reversal of 40836805800 is 850863804.

It is a super-3 number, since 3×408368058003 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 665104 + ... + 723903.

It is an arithmetic number, because the mean of its divisors is an integer number (1022657140).

Almost surely, 240836805800 is an apocalyptic number.

40836805800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40836805800 is an abundant number, since it is smaller than the sum of its proper divisors (106425822360).

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

40836805800 is a wasteful number, since it uses less digits than its factorization.

40836805800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389040 (or 1389024 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 40836805800 in words is "forty billion, eight hundred thirty-six million, eight hundred five thousand, eight hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 49 50 56 60 70 75 84 98 100 105 120 140 147 150 168 175 196 200 210 245 280 294 300 350 392 420 490 525 588 600 700 735 840 980 1050 1176 1225 1400 1470 1960 2100 2450 2940 3675 4200 4900 5880 7350 9800 14700 29400 1389007 2778014 4167021 5556028 6945035 8334042 9723049 11112056 13890070 16668084 19446098 20835105 27780140 29169147 33336168 34725175 38892196 41670210 48615245 55560280 58338294 68061343 69450350 77784392 83340420 97230490 104175525 116676588 136122686 138900700 145845735 166680840 194460980 204184029 208351050 233353176 243076225 272245372 277801400 291691470 340306715 388921960 408368058 416702100 486152450 544490744 583382940 680613430 729228675 816736116 833404200 972304900 1020920145 1166765880 1361226860 1458457350 1633472232 1701533575 1944609800 2041840290 2722453720 2916914700 3403067150 4083680580 5104600725 5833829400 6806134300 8167361160 10209201450 13612268600 20418402900 40836805800