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40029142221 = 3419298391069
BaseRepresentation
bin100101010001111011…
…000011110011001101
310211022200220010010000
4211101323003303031
51123434430022341
630220015234513
72614650044355
oct452173036315
9124280803100
1040029142221
1115a81453022
127911818a39
133a0c116c93
141d1a3d5b65
1510943418b6
hex951ec3ccd

40029142221 has 80 divisors (see below), whose sum is σ = 65252880000. Its totient is φ = 24357884544.

The previous prime is 40029142213. The next prime is 40029142253. The reversal of 40029142221 is 12224192004.

40029142221 is a `hidden beast` number, since 400 + 29 + 14 + 2 + 221 = 666.

It is not a de Polignac number, because 40029142221 - 23 = 40029142213 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40029142421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 37444875 + ... + 37445943.

It is an arithmetic number, because the mean of its divisors is an integer number (815661000).

Almost surely, 240029142221 is an apocalyptic number.

It is an amenable number.

40029142221 is a deficient number, since it is larger than the sum of its proper divisors (25223737779).

40029142221 is a wasteful number, since it uses less digits than its factorization.

40029142221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1968 (or 1959 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 40029142221 in words is "forty billion, twenty-nine million, one hundred forty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 19 27 29 57 81 87 171 261 513 551 783 839 1069 1539 1653 2349 2517 3207 4959 7551 9621 14877 15941 20311 22653 24331 28863 31001 44631 47823 60933 67959 72993 86589 93003 143469 182799 218979 279009 430407 462289 548397 589019 656937 837027 896891 1291221 1386867 1645191 1767057 1970811 2511081 2690673 4160601 5301171 8072019 12481803 15903513 17040929 24216057 26009839 37445409 47710539 51122787 72648171 78029517 153368361 234088551 460105083 494186941 702265653 1380315249 1482560823 2106796959 4447682469 13343047407 40029142221