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4399714080 = 253253055357
BaseRepresentation
bin1000001100011111…
…00100111100100000
3102100121211122002100
410012033210330200
533002311322310
62004325050400
7214012644516
oct40617447440
912317748070
104399714080
111958584343
12a29556a00
13551692b18
142da4824b6
151ab3cdec0
hex1063e4f20

4399714080 has 72 divisors (see below), whose sum is σ = 15014029212. Its totient is φ = 1173256704.

The previous prime is 4399714063. The next prime is 4399714097. The reversal of 4399714080 is 804179934.

It is an interprime number because it is at equal distance from previous prime (4399714063) and next prime (4399714097).

It can be written as a sum of positive squares in 2 ways, for example, as 4382969616 + 16744464 = 66204^2 + 4092^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 1526239 + ... + 1529118.

Almost surely, 24399714080 is an apocalyptic number.

4399714080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4399714080 is an abundant number, since it is smaller than the sum of its proper divisors (10614315132).

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

4399714080 is a wasteful number, since it uses less digits than its factorization.

4399714080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3055378 (or 3055367 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 4399714080 is about 66330.3405690036. The cubic root of 4399714080 is about 1638.6070464419.

The spelling of 4399714080 in words is "four billion, three hundred ninety-nine million, seven hundred fourteen thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 3055357 6110714 9166071 12221428 15276785 18332142 24442856 27498213 30553570 36664284 45830355 48885712 54996426 61107140 73328568 91660710 97771424 109992852 122214280 137491065 146657136 183321420 219985704 244428560 274982130 293314272 366642840 439971408 488857120 549964260 733285680 879942816 1099928520 1466571360 2199857040 4399714080