Search a number
-
+
40118304000 = 28353417899
BaseRepresentation
bin100101010111001111…
…001011110100000000
310211112220200000002010
4211113033023310000
51124130241212000
630232522252520
72620111646265
oct452717136400
9124486600063
1040118304000
1116017811645
127937657140
133a24734528
141d281a526c
15109c0a4d50
hex9573cbd00

40118304000 has 144 divisors (see below), whose sum is σ = 133253265600. Its totient is φ = 10698188800.

The previous prime is 40118303987. The next prime is 40118304101. The reversal of 40118304000 is 40381104.

It is a congruent number.

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, 112950 + ... + 304949.

It is an arithmetic number, because the mean of its divisors is an integer number (925369900).

Almost surely, 240118304000 is an apocalyptic number.

40118304000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40118304000 is an abundant number, since it is smaller than the sum of its proper divisors (93134961600).

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

40118304000 is an equidigital number, since it uses as much as digits as its factorization.

40118304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417933 (or 417909 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 40118304000 its reverse (40381104), we get a palindrome (40158685104).

The spelling of 40118304000 in words is "forty billion, one hundred eighteen million, three hundred four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 256 300 320 375 384 400 480 500 600 640 750 768 800 960 1000 1200 1280 1500 1600 1920 2000 2400 3000 3200 3840 4000 4800 6000 6400 8000 9600 12000 16000 19200 24000 32000 48000 96000 417899 835798 1253697 1671596 2089495 2507394 3343192 4178990 5014788 6268485 6686384 8357980 10029576 10447475 12536970 13372768 16715960 20059152 20894950 25073940 26745536 31342425 33431920 40118304 41789900 50147880 52237375 53491072 62684850 66863840 80236608 83579800 100295760 104474750 106982144 125369700 133727680 156712125 160473216 167159600 200591520 208949500 250739400 267455360 313424250 320946432 334319200 401183040 417899000 501478800 534910720 626848500 668638400 802366080 835798000 1002957600 1253697000 1337276800 1604732160 1671596000 2005915200 2507394000 2674553600 3343192000 4011830400 5014788000 6686384000 8023660800 10029576000 13372768000 20059152000 40118304000