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40231112102000 = 2453178314256241
BaseRepresentation
bin10010010010111000010010…
…01001010101000001110000
312021110001112101010020022222
421021130021021111001300
520233121304144231000
6221321530122420212
711321413314355331
oct1111341111250160
9167401471106288
1040231112102000
1111900a11a5aa66
124619086061668
13195aa154a8c41
149d12a65b4288
1549b784741a85
hex249709255070

40231112102000 has 160 divisors (see below), whose sum is σ = 104242097703744. Its totient is φ = 14963349504000.

The previous prime is 40231112101979. The next prime is 40231112102009. The reversal of 40231112102000 is 20121113204.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 40231112102000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40231112102009) 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 31 ways as a sum of consecutive naturals, for example, 4306121 + ... + 9950120.

Almost surely, 240231112102000 is an apocalyptic number.

40231112102000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40231112102000 is an abundant number, since it is smaller than the sum of its proper divisors (64010985601744).

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

40231112102000 is a wasteful number, since it uses less digits than its factorization.

40231112102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14256364 (or 14256348 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 40231112102000 its reverse (20121113204), we get a palindrome (40251233215204).

The spelling of 40231112102000 in words is "forty trillion, two hundred thirty-one billion, one hundred twelve million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 83 85 100 125 136 166 170 200 250 272 332 340 400 415 425 500 664 680 830 850 1000 1328 1360 1411 1660 1700 2000 2075 2125 2822 3320 3400 4150 4250 5644 6640 6800 7055 8300 8500 10375 11288 14110 16600 17000 20750 22576 28220 33200 34000 35275 41500 56440 70550 83000 112880 141100 166000 176375 282200 352750 564400 705500 1411000 2822000 14256241 28512482 57024964 71281205 114049928 142562410 228099856 242356097 285124820 356406025 484712194 570249640 712812050 969424388 1140499280 1183268003 1211780485 1425624100 1782030125 1938848776 2366536006 2423560970 2851248200 3564060250 3877697552 4733072012 4847121940 5702496400 5916340015 6058902425 7128120500 9466144024 9694243880 11832680030 12117804850 14256241000 18932288048 19388487760 20115556051 23665360060 24235609700 28512482000 29581700075 30294512125 40231112102 47330720120 48471219400 59163400150 60589024250 80462224204 94661440240 96942438800 100577780255 118326800300 121178048500 147908500375 160924448408 201155560510 236653600600 242356097000 295817000750 321848896816 402311121020 473307201200 484712194000 502888901275 591634001500 804622242040 1005777802550 1183268003000 1609244484080 2011555605100 2366536006000 2514444506375 4023111210200 5028889012750 8046222420400 10057778025500 20115556051000 40231112102000