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400121029 = 71113139667
BaseRepresentation
bin10111110110010…
…101110011000101
31000212220020212101
4113312111303011
51304412333104
6103411552101
712625654420
oct2766256305
91025806771
10400121029
11195948940
12b1bbb631
1364b84709
143b1d69b7
15251d95a4
hex17d95cc5

400121029 has 16 divisors (see below), whose sum is σ = 502672896. Its totient is φ = 309394800.

The previous prime is 400121003. The next prime is 400121039. The reversal of 400121029 is 920121004.

It is not a de Polignac number, because 400121029 - 27 = 400120901 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 400120997 and 400121015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400121039) 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 15 ways as a sum of consecutive naturals, for example, 9747 + ... + 29920.

It is an arithmetic number, because the mean of its divisors is an integer number (31417056).

Almost surely, 2400121029 is an apocalyptic number.

It is an amenable number.

400121029 is a deficient number, since it is larger than the sum of its proper divisors (102551867).

400121029 is a wasteful number, since it uses less digits than its factorization.

400121029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39816.

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 400121029 is about 20003.0254961593. The cubic root of 400121029 is about 736.8806046757.

It can be divided in two parts, 40012 and 1029, that added together give a triangular number (41041 = T286).

The spelling of 400121029 in words is "four hundred million, one hundred twenty-one thousand, twenty-nine".

Divisors: 1 7 11 77 131 917 1441 10087 39667 277669 436337 3054359 5196377 36374639 57160147 400121029