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7143414966 = 2322924156783
BaseRepresentation
bin1101010011100011…
…11101110010110110
3200102211121002010200
412221301331302312
5104112203234331
63140500101330
7342010011462
oct65161756266
920384532120
107143414966
1130362a9436
121474394846
1389ac3a77c
144baa0d4a2
152bc1e75e6
hex1a9c7dcb6

7143414966 has 48 divisors (see below), whose sum is σ = 16077821760. Its totient is φ = 2289450240.

The previous prime is 7143414923. The next prime is 7143414979. The reversal of 7143414966 is 6694143417.

7143414966 is a `hidden beast` number, since 7 + 143 + 414 + 96 + 6 = 666.

It is a Curzon number.

It is a congruent number.

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, 97411 + ... + 154193.

It is an arithmetic number, because the mean of its divisors is an integer number (334954620).

Almost surely, 27143414966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7143414966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8038910880).

7143414966 is an abundant number, since it is smaller than the sum of its proper divisors (8934406794).

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

7143414966 is a wasteful number, since it uses less digits than its factorization.

7143414966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57061 (or 57058 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 7143414966 is about 84518.7255346411. The cubic root of 7143414966 is about 1925.9069176651.

The spelling of 7143414966 in words is "seven billion, one hundred forty-three million, four hundred fourteen thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 18 29 58 87 174 241 261 482 522 723 1446 2169 4338 6989 13978 20967 41934 56783 62901 113566 125802 170349 340698 511047 1022094 1646707 3293414 4940121 9880242 13684703 14820363 27369406 29640726 41054109 82108218 123162327 246324654 396856387 793712774 1190569161 2381138322 3571707483 7143414966