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214143311144 = 23721877291041
BaseRepresentation
bin1100011101101111101…
…1111001110100101000
3202110202000102100000002
43013123323321310220
512002031141424034
6242213122202132
721320446053200
oct3073373716450
9673660370002
10214143311144
11828aa3531a4
12356041b3348
1317269527539
14a516621400
155884e64e7e
hex31dbef9d28

214143311144 has 48 divisors (see below), whose sum is σ = 467323228980. Its totient is φ = 91726494720.

The previous prime is 214143311131. The next prime is 214143311167. The reversal of 214143311144 is 441113341412.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 206197728100 + 7945583044 = 454090^2 + 89138^2 .

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 11 ways as a sum of consecutive naturals, for example, 590264 + ... + 881304.

Almost surely, 2214143311144 is an apocalyptic number.

It is an amenable number.

214143311144 is an abundant number, since it is smaller than the sum of its proper divisors (253179917836).

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

214143311144 is a wasteful number, since it uses less digits than its factorization.

214143311144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292938 (or 292927 counting only the distinct ones).

The product of its digits is 4608, while the sum is 29.

Adding to 214143311144 its reverse (441113341412), we get a palindrome (655256652556).

The spelling of 214143311144 in words is "two hundred fourteen billion, one hundred forty-three million, three hundred eleven thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 1877 3754 7508 13139 15016 26278 52556 91973 105112 183946 291041 367892 582082 735784 1164164 2037287 2328328 4074574 8149148 14261009 16298296 28522018 57044036 114088072 546283957 1092567914 2185135828 3823987699 4370271656 7647975398 15295950796 26767913893 30591901592 53535827786 107071655572 214143311144