Search a number
-
+
40627281408 = 29372539797
BaseRepresentation
bin100101110101100100…
…110001111000000000
310212212101101201211020
4211311210301320000
51131201041001113
630355223345440
72635532123400
oct456544617000
9125771351736
1040627281408
111625904a92a
127a59bb2280
133aa60108ac
141d75a16800
1510cbae3023
hex975931e00

40627281408 has 120 divisors (see below), whose sum is σ = 125904644712. Its totient is φ = 11607773184.

The previous prime is 40627281379. The next prime is 40627281439. The reversal of 40627281408 is 80418272604.

It is a super-3 number, since 3×406272814083 (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 a self number, because there is not a number n which added to its sum of digits gives 40627281408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 194635 + ... + 345162.

Almost surely, 240627281408 is an apocalyptic number.

40627281408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

40627281408 is an abundant number, since it is smaller than the sum of its proper divisors (85277363304).

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

40627281408 is an equidigital number, since it uses as much as digits as its factorization.

40627281408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539832 (or 539809 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The spelling of 40627281408 in words is "forty billion, six hundred twenty-seven million, two hundred eighty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 512 588 672 768 784 896 1176 1344 1536 1568 1792 2352 2688 3136 3584 4704 5376 6272 9408 10752 12544 18816 25088 37632 75264 539797 1079594 1619391 2159188 3238782 3778579 4318376 6477564 7557158 8636752 11335737 12955128 15114316 17273504 22671474 25910256 26450053 30228632 34547008 45342948 51820512 52900106 60457264 69094016 79350159 90685896 103641024 105800212 120914528 138188032 158700318 181371792 207282048 211600424 241829056 276376064 317400636 362743584 414564096 423200848 483658112 634801272 725487168 829128192 846401696 967316224 1269602544 1450974336 1692803392 1934632448 2539205088 2901948672 3385606784 5078410176 5803897344 6771213568 10156820352 13542427136 20313640704 40627281408