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40212021104010 = 2325763828604927
BaseRepresentation
bin10010010010010100101110…
…01110111100110110001010
312021101020020220001001102100
421021022113032330312022
520232313204400312020
6221305051504214230
711320136240512140
oct1111122716746612
9167336226031370
1040212021104010
11118a3905651678
12461543860a376
131958c9222a222
149d03b4d0d590
1549b0186cea90
hex2492973bcd8a

40212021104010 has 48 divisors (see below), whose sum is σ = 119487148425216. Its totient is φ = 9191319109344.

The previous prime is 40212021103999. The next prime is 40212021104041. The reversal of 40212021104010 is 1040112021204.

40212021104010 is a `hidden beast` number, since 40 + 2 + 12 + 0 + 211 + 0 + 401 + 0 = 666.

40212021104010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31914301834 + ... + 31914303093.

It is an arithmetic number, because the mean of its divisors is an integer number (2489315592192).

Almost surely, 240212021104010 is an apocalyptic number.

40212021104010 is an abundant number, since it is smaller than the sum of its proper divisors (79275127321206).

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

40212021104010 is a wasteful number, since it uses less digits than its factorization.

40212021104010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63828604947 (or 63828604944 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 40212021104010 its reverse (1040112021204), we get a palindrome (41252133125214).

The spelling of 40212021104010 in words is "forty trillion, two hundred twelve billion, twenty-one million, one hundred four thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 63828604927 127657209854 191485814781 319143024635 382971629562 446800234489 574457444343 638286049270 893600468978 957429073905 1148914888686 1340400703467 1914858147810 2234001172445 2680801406934 2872287221715 4021202110401 4468002344890 5744574443430 6702003517335 8042404220802 13404007034670 20106010552005 40212021104010