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40068784080 = 24335131426951
BaseRepresentation
bin100101010100010010…
…010001111111010000
310211102110111010112000
4211110102101333100
51124030102042310
630223553034000
72615641021323
oct452422217720
9124373433460
1040068784080
1115aa1869596
127922b55900
133a173b67c0
141d217947ba
151097a724c0
hex954491fd0

40068784080 has 160 divisors (see below), whose sum is σ = 148631320320. Its totient is φ = 9863078400.

The previous prime is 40068784079. The next prime is 40068784109. The reversal of 40068784080 is 8048786004.

40068784080 is a `hidden beast` number, since 400 + 68 + 78 + 40 + 80 = 666.

It is a super-2 number, since 2×400687840802 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 685396 + ... + 741555.

It is an arithmetic number, because the mean of its divisors is an integer number (928945752).

Almost surely, 240068784080 is an apocalyptic number.

40068784080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40068784080 is an abundant number, since it is smaller than the sum of its proper divisors (108562536240).

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

40068784080 is a wasteful number, since it uses less digits than its factorization.

40068784080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426986 (or 1426974 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 40068784080 in words is "forty billion, sixty-eight million, seven hundred eighty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 36 39 40 45 48 52 54 60 65 72 78 80 90 104 108 117 120 130 135 144 156 180 195 208 216 234 240 260 270 312 351 360 390 432 468 520 540 585 624 702 720 780 936 1040 1080 1170 1404 1560 1755 1872 2160 2340 2808 3120 3510 4680 5616 7020 9360 14040 28080 1426951 2853902 4280853 5707804 7134755 8561706 11415608 12842559 14269510 17123412 18550363 21404265 22831216 25685118 28539020 34246824 37100726 38527677 42808530 51370236 55651089 57078040 64212795 68493648 74201452 77055354 85617060 92751815 102740472 111302178 114156080 128425590 148402904 154110708 166953267 171234120 185503630 192638385 205480944 222604356 256851180 278255445 296805808 308221416 333906534 342468240 371007260 385276770 445208712 500859801 513702360 556510890 616442832 667813068 742014520 770553540 834766335 890417424 1001719602 1027404720 1113021780 1335626136 1484029040 1541107080 1669532670 2003439204 2226043560 2504299005 2671252272 3082214160 3339065340 4006878408 4452087120 5008598010 6678130680 8013756816 10017196020 13356261360 20034392040 40068784080