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4050215040 = 27358832389
BaseRepresentation
bin1111000101101001…
…0110000010000000
3101110021012020112110
43301122112002000
531243323340130
61505522055320
7202240155054
oct36132260200
911407166473
104050215040
111799271563
129504aa540
134c7153961
142a5ca5c64
1518a893ab0
hexf1696080

4050215040 has 128 divisors (see below), whose sum is σ = 12930091200. Its totient is φ = 1078382592.

The previous prime is 4050215017. The next prime is 4050215089. The reversal of 4050215040 is 405120504.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 4050214998 and 4050215016.

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, 1694166 + ... + 1696554.

Almost surely, 24050215040 is an apocalyptic number.

4050215040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4050215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6465045600).

4050215040 is an abundant number, since it is smaller than the sum of its proper divisors (8879876160).

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

4050215040 is a wasteful number, since it uses less digits than its factorization.

4050215040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3294 (or 3282 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 4050215040 is about 63641.2997981657. The cubic root of 4050215040 is about 1594.0160648917.

Adding to 4050215040 its reverse (405120504), we get a palindrome (4455335544).

The spelling of 4050215040 in words is "four billion, fifty million, two hundred fifteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 883 960 1766 1920 2389 2649 3532 4415 4778 5298 7064 7167 8830 9556 10596 11945 13245 14128 14334 17660 19112 21192 23890 26490 28256 28668 35320 35835 38224 42384 47780 52980 56512 57336 70640 71670 76448 84768 95560 105960 113024 114672 141280 143340 152896 169536 191120 211920 229344 282560 286680 305792 339072 382240 423840 458688 565120 573360 764480 847680 917376 1146720 1528960 1695360 2109487 2293440 4218974 4586880 6328461 8437948 10547435 12656922 16875896 21094870 25313844 31642305 33751792 42189740 50627688 63284610 67503584 84379480 101255376 126569220 135007168 168758960 202510752 253138440 270014336 337517920 405021504 506276880 675035840 810043008 1012553760 1350071680 2025107520 4050215040