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4441342640 = 245717234603
BaseRepresentation
bin1000010001011100…
…11000001010110000
3102110112011120201212
410020232120022300
533043440431030
62012413215252
7215026534550
oct41056301260
912415146655
104441342640
11197a027509
12a3b491528
1355a1a99c7
14301bdb160
151aeda3595
hex108b982b0

4441342640 has 80 divisors (see below), whose sum is σ = 11810696448. Its totient is φ = 1521531648.

The previous prime is 4441342639. The next prime is 4441342651. The reversal of 4441342640 is 462431444.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 4441342597 and 4441342606.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 962579 + ... + 967181.

Almost surely, 24441342640 is an apocalyptic number.

4441342640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4441342640 is an abundant number, since it is smaller than the sum of its proper divisors (7369353808).

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

4441342640 is a wasteful number, since it uses less digits than its factorization.

4441342640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6346 (or 6340 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

The square root of 4441342640 is about 66643.3990729765. The cubic root of 4441342640 is about 1643.7588084942.

The spelling of 4441342640 in words is "four billion, four hundred forty-one million, three hundred forty-two thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 1723 3446 4603 6892 8615 9206 12061 13784 17230 18412 23015 24122 27568 32221 34460 36824 46030 48244 60305 64442 68920 73648 92060 96488 120610 128884 137840 161105 184120 192976 241220 257768 322210 368240 482440 515536 644420 964880 1288840 2577680 7930969 15861938 31723876 39654845 55516783 63447752 79309690 111033566 126895504 158619380 222067132 277583915 317238760 444134264 555167830 634477520 888268528 1110335660 2220671320 4441342640