Search a number
-
+
494386925040 = 24325839818413
BaseRepresentation
bin1110011000110111100…
…00011100110111110000
31202021002200012221221100
413030123300130313300
531100001023100130
61015041311324400
750501240345331
oct7143360346760
91667080187840
10494386925040
11180739592178
127b995220700
133780b296248
1419cdd974288
15ccd7e79c60
hex731bc1cdf0

494386925040 has 120 divisors (see below), whose sum is σ = 1662297043680. Its totient is φ = 131679217152.

The previous prime is 494386924961. The next prime is 494386925057. The reversal of 494386925040 is 40529683494.

494386925040 is a `hidden beast` number, since 4 + 9 + 4 + 386 + 9 + 250 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

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, 194874 + ... + 1013286.

It is an arithmetic number, because the mean of its divisors is an integer number (13852475364).

Almost surely, 2494386925040 is an apocalyptic number.

494386925040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 494386925040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831148521840).

494386925040 is an abundant number, since it is smaller than the sum of its proper divisors (1167910118640).

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

494386925040 is a wasteful number, since it uses less digits than its factorization.

494386925040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819271 (or 819262 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 494386925040 in words is "four hundred ninety-four billion, three hundred eighty-six million, nine hundred twenty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 839 1678 2517 3356 4195 5034 6712 7551 8390 10068 12585 13424 15102 16780 20136 25170 30204 33560 37755 40272 50340 60408 67120 75510 100680 120816 151020 201360 302040 604080 818413 1636826 2455239 3273652 4092065 4910478 6547304 7365717 8184130 9820956 12276195 13094608 14731434 16368260 19641912 24552390 29462868 32736520 36828585 39283824 49104780 58925736 65473040 73657170 98209560 117851472 147314340 196419120 294628680 589257360 686648507 1373297014 2059945521 2746594028 3433242535 4119891042 5493188056 6179836563 6866485070 8239782084 10299727605 10986376112 12359673126 13732970140 16479564168 20599455210 24719346252 27465940280 30899182815 32959128336 41198910420 49438692504 54931880560 61798365630 82397820840 98877385008 123596731260 164795641680 247193462520 494386925040