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40230042212000 = 255321374706369
BaseRepresentation
bin10010010010110110010010…
…11000000001011010100000
312021102221202210221012011102
421021123021120001122200
520233112111301241000
6221321232023133532
711321344643426444
oct1111331130013240
9167387683835142
1040230042212000
1111900513040853
124618a278a42a8
13195a8a493b334
149d1204472824
1549b7208573d5
hex2496c96016a0

40230042212000 has 96 divisors (see below), whose sum is σ = 98891488921680. Its totient is φ = 16084483276800.

The previous prime is 40230042211979. The next prime is 40230042212077. The reversal of 40230042212000 is 21224003204.

It can be written as a sum of positive squares in 8 ways, for example, as 1666588049296 + 38563454162704 = 1290964^2 + 6209948^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6194816 + ... + 10901184.

Almost surely, 240230042212000 is an apocalyptic number.

40230042212000 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 40230042212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49445744460840).

40230042212000 is an abundant number, since it is smaller than the sum of its proper divisors (58661446709680).

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

40230042212000 is a wasteful number, since it uses less digits than its factorization.

40230042212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4708531 (or 4708513 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 40230042212000 its reverse (21224003204), we get a palindrome (40251266215204).

The spelling of 40230042212000 in words is "forty trillion, two hundred thirty billion, forty-two million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 2137 4000 4274 8548 10685 17096 21370 34192 42740 53425 68384 85480 106850 170960 213700 267125 341920 427400 534250 854800 1068500 1709600 2137000 4274000 4706369 8548000 9412738 18825476 23531845 37650952 47063690 75301904 94127380 117659225 150603808 188254760 235318450 376509520 470636900 588296125 753019040 941273800 1176592250 1882547600 2353184500 3765095200 4706369000 9412738000 10057510553 18825476000 20115021106 40230042212 50287552765 80460084424 100575105530 160920168848 201150211060 251437763825 321840337696 402300422120 502875527650 804600844240 1005751055300 1257188819125 1609201688480 2011502110600 2514377638250 4023004221200 5028755276500 8046008442400 10057510553000 20115021106000 40230042212000