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8230342144 = 2940140087
BaseRepresentation
bin1111010101001000…
…10000111000000000
3210020120211200220211
413222210100320000
5113323431422034
63440404443504
7410645516413
oct75244207000
923216750824
108230342144
1135438a4962
1217183a9594
13a1219204b
14581107b7a
15332849d64
hex1ea910e00

8230342144 has 40 divisors (see below), whose sum is σ = 16486029648. Its totient is φ = 4104806400.

The previous prime is 8230342139. The next prime is 8230342147. The reversal of 8230342144 is 4412430328.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8230342147) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 185269 + ... + 225355.

Almost surely, 28230342144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8230342144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8243014824).

8230342144 is an abundant number, since it is smaller than the sum of its proper divisors (8255687504).

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

8230342144 is an equidigital number, since it uses as much as digits as its factorization.

8230342144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40506 (or 40490 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

The square root of 8230342144 is about 90721.2331485855. The cubic root of 8230342144 is about 2019.0138427255.

The spelling of 8230342144 in words is "eight billion, two hundred thirty million, three hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 256 401 512 802 1604 3208 6416 12832 25664 40087 51328 80174 102656 160348 205312 320696 641392 1282784 2565568 5131136 10262272 16074887 20524544 32149774 64299548 128599096 257198192 514396384 1028792768 2057585536 4115171072 8230342144