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4130421444 = 2233378211259
BaseRepresentation
bin1111011000110001…
…0011101011000100
3101122212010011001000
43312030103223010
531424341441234
61521505133300
7204233001012
oct36614235304
911585104030
104130421444
11182a573846
1297332a230
1350a956c76
142b27c38b2
15192938899
hexf6313ac4

4130421444 has 96 divisors (see below), whose sum is σ = 11020060800. Its totient is φ = 1336901760.

The previous prime is 4130421433. The next prime is 4130421497. The reversal of 4130421444 is 4441240314.

4130421444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3280087 + ... + 3281345.

It is an arithmetic number, because the mean of its divisors is an integer number (114792300).

Almost surely, 24130421444 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 4130421444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5510030400).

4130421444 is an abundant number, since it is smaller than the sum of its proper divisors (6889639356).

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

4130421444 is a wasteful number, since it uses less digits than its factorization.

4130421444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2130 (or 2122 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 4130421444 is about 64268.3549190424. The cubic root of 4130421444 is about 1604.4694621713.

Adding to 4130421444 its reverse (4441240314), we get a palindrome (8571661758).

The spelling of 4130421444 in words is "four billion, one hundred thirty million, four hundred twenty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 333 444 666 821 999 1259 1332 1642 1998 2463 2518 3284 3777 3996 4926 5036 7389 7554 9852 11331 14778 15108 22167 22662 29556 30377 33993 44334 45324 46583 60754 67986 88668 91131 93166 121508 135972 139749 182262 186332 273393 279498 364524 419247 546786 558996 820179 838494 1033639 1093572 1257741 1640358 1676988 2067278 2515482 3100917 3280716 4134556 5030964 6201834 9302751 12403668 18605502 27908253 37211004 38244643 55816506 76489286 111633012 114733929 152978572 229467858 344201787 458935716 688403574 1032605361 1376807148 2065210722 4130421444