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4314909690 = 235571321979
BaseRepresentation
bin1000000010011000…
…00100101111111010
3102010201021010100000
410001030010233322
532314104102230
61552055253430
7211633061430
oct40114045772
912121233300
104314909690
111914721573
12a0507a276
13539c3ca00
142cd0c8d50
151a3c2bb60
hex101304bfa

4314909690 has 576 divisors, whose sum is σ = 15347404800. Its totient is φ = 851565312.

The previous prime is 4314909661. The next prime is 4314909701. The reversal of 4314909690 is 969094134.

4314909690 is a `hidden beast` number, since 431 + 49 + 0 + 96 + 90 = 666.

It is a super-2 number, since 2×43149096902 = 37236891265711792200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 54619071 + ... + 54619149.

It is an arithmetic number, because the mean of its divisors is an integer number (26644800).

Almost surely, 24314909690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4314909690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7673702400).

4314909690 is an abundant number, since it is smaller than the sum of its proper divisors (11032495110).

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

4314909690 is a wasteful number, since it uses less digits than its factorization.

4314909690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 4314909690 is about 65687.9721866949. The cubic root of 4314909690 is about 1628.0106321006.

The spelling of 4314909690 in words is "four billion, three hundred fourteen million, nine hundred nine thousand, six hundred ninety".