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400142619 = 3333894373
BaseRepresentation
bin10111110110011…
…011000100011011
31000212221100111000
4113312123010123
51304414030434
6103412240043
712626104362
oct2766330433
91025840430
10400142619
11195963088
12b2010023
1364b914a6
143b2007d9
15251e0b99
hex17d9b11b

400142619 has 16 divisors (see below), whose sum is σ = 593114400. Its totient is φ = 266622048.

The previous prime is 400142579. The next prime is 400142621. The reversal of 400142619 is 916241004.

400142619 is a `hidden beast` number, since 4 + 0 + 0 + 1 + 42 + 619 = 666.

It is not a de Polignac number, because 400142619 - 215 = 400109851 is a prime.

It is a super-2 number, since 2×4001426192 = 320228231080358322, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 400142592 and 400142601.

It is not an unprimeable number, because it can be changed into a prime (400142689) 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, 89317 + ... + 93689.

It is an arithmetic number, because the mean of its divisors is an integer number (37069650).

Almost surely, 2400142619 is an apocalyptic number.

400142619 is a deficient number, since it is larger than the sum of its proper divisors (192971781).

400142619 is a wasteful number, since it uses less digits than its factorization.

400142619 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7771 (or 7765 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 400142619 is about 20003.5651572413. The cubic root of 400142619 is about 736.8938581374.

The spelling of 400142619 in words is "four hundred million, one hundred forty-two thousand, six hundred nineteen".

Divisors: 1 3 9 27 3389 4373 10167 13119 30501 39357 91503 118071 14820097 44460291 133380873 400142619