Search a number
-
+
400142314 = 211132281383
BaseRepresentation
bin10111110110011…
…010111111101010
31000212221100001201
4113312122333222
51304414023224
6103412234414
712626103445
oct2766327752
91025840051
10400142314
11195962930
12b200ba0a
1364b91300
143b20065c
15251e0a44
hex17d9afea

400142314 has 48 divisors (see below), whose sum is σ = 713401344. Its totient is φ = 166857600.

The previous prime is 400142257. The next prime is 400142333. The reversal of 400142314 is 413241004.

It is a super-2 number, since 2×4001423142 = 320227742906549192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 400142291 and 400142300.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1044567 + ... + 1044949.

It is an arithmetic number, because the mean of its divisors is an integer number (14862528).

Almost surely, 2400142314 is an apocalyptic number.

400142314 is a deficient number, since it is larger than the sum of its proper divisors (313259030).

400142314 is a wasteful number, since it uses less digits than its factorization.

400142314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 400142314 is about 20003.5575335989. The cubic root of 400142314 is about 736.8936709102.

Adding to 400142314 its reverse (413241004), we get a palindrome (813383318).

The spelling of 400142314 in words is "four hundred million, one hundred forty-two thousand, three hundred fourteen".

Divisors: 1 2 11 13 22 26 143 169 281 286 338 383 562 766 1859 3091 3653 3718 4213 4979 6182 7306 8426 9958 40183 47489 54769 64727 80366 94978 107623 109538 129454 215246 522379 711997 1044758 1183853 1399099 1423994 2367706 2798198 15390089 18188287 30780178 36376574 200071157 400142314