Search a number
-
+
40986200485800 = 2333527590037127
BaseRepresentation
bin10010101000110110101111…
…11010111010111110101000
312101010020112210010111001000
421110123113322322332220
520333004214311021200
6223100444531155000
711430104153623653
oct1124332772727650
9171106483114030
1040986200485800
1112072171736779
12471b497745a60
1319b3c9c94b88b
14a19a57d1689a
154b1229c53300
hex2546d7ebafa8

40986200485800 has 96 divisors (see below), whose sum is σ = 141174690580800. Its totient is φ = 10929653461440.

The previous prime is 40986200485729. The next prime is 40986200485829. The reversal of 40986200485800 is 858400268904.

40986200485800 is a `hidden beast` number, since 4 + 0 + 9 + 8 + 620 + 0 + 4 + 8 + 5 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3795013164 + ... + 3795023963.

It is an arithmetic number, because the mean of its divisors is an integer number (1470569693550).

Almost surely, 240986200485800 is an apocalyptic number.

40986200485800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40986200485800 is an abundant number, since it is smaller than the sum of its proper divisors (100188490095000).

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

40986200485800 is a wasteful number, since it uses less digits than its factorization.

40986200485800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7590037152 (or 7590037137 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 40986200485800 in words is "forty trillion, nine hundred eighty-six billion, two hundred million, four hundred eighty-five thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 90 100 108 120 135 150 180 200 216 225 270 300 360 450 540 600 675 900 1080 1350 1800 2700 5400 7590037127 15180074254 22770111381 30360148508 37950185635 45540222762 60720297016 68310334143 75900371270 91080445524 113850556905 136620668286 151800742540 182160891048 189750928175 204931002429 227701113810 273241336572 303601485080 341551670715 379501856350 409862004858 455402227620 546482673144 569252784525 683103341430 759003712700 819724009716 910804455240 1024655012145 1138505569050 1366206682860 1518007425400 1639448019432 1707758353575 2049310024290 2277011138100 2732413365720 3415516707150 4098620048580 4554022276200 5123275060725 6831033414300 8197240097160 10246550121450 13662066828600 20493100242900 40986200485800