Search a number
-
+
40757116200 = 23352292342363
BaseRepresentation
bin100101111101010100…
…000011110100101000
310220012102201000200020
4211331110003310220
51131432310204300
630420142240440
72641666525443
oct457524036450
9126172630606
1040757116200
1116315369709
127a95586120
133ac6b9c108
141d88d7265a
1510d81dc8a0
hex97d503d28

40757116200 has 96 divisors (see below), whose sum is σ = 130703911200. Its totient is φ = 10493781760.

The previous prime is 40757116187. The next prime is 40757116207. The reversal of 40757116200 is 261175704.

It is a super-2 number, since 2×407571162002 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40757116207) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1153782 + ... + 1188581.

It is an arithmetic number, because the mean of its divisors is an integer number (1361499075).

Almost surely, 240757116200 is an apocalyptic number.

40757116200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40757116200 is an abundant number, since it is smaller than the sum of its proper divisors (89946795000).

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

40757116200 is a wasteful number, since it uses less digits than its factorization.

40757116200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2342411 (or 2342402 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The spelling of 40757116200 in words is "forty billion, seven hundred fifty-seven million, one hundred sixteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 29 30 40 50 58 60 75 87 100 116 120 145 150 174 200 232 290 300 348 435 580 600 696 725 870 1160 1450 1740 2175 2900 3480 4350 5800 8700 17400 2342363 4684726 7027089 9369452 11711815 14054178 18738904 23423630 28108356 35135445 46847260 56216712 58559075 67928527 70270890 93694520 117118150 135857054 140541780 175677225 203785581 234236300 271714108 281083560 339642635 351354450 407571162 468472600 543428216 679285270 702708900 815142324 1018927905 1358570540 1405417800 1630284648 1698213175 2037855810 2717141080 3396426350 4075711620 5094639525 6792852700 8151423240 10189279050 13585705400 20378558100 40757116200