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6441219940 = 225415377549
BaseRepresentation
bin1011111111110110…
…10011011101100100
3121121220021212122111
411333323103131210
5101142423014230
62543053410404
7315422315611
oct57773233544
917556255574
106441219940
11280599a971
1212b9199a04
137b861025c
14451663508
1527a73e92a
hex17fed3764

6441219940 has 24 divisors (see below), whose sum is σ = 13529993400. Its totient is φ = 2575834368.

The previous prime is 6441219907. The next prime is 6441219979. The reversal of 6441219940 is 499121446.

It can be written as a sum of positive squares in 4 ways, for example, as 313148416 + 6128071524 = 17696^2 + 78282^2 .

It is a junction number, because it is equal to n+sod(n) for n = 6441219893 and 6441219902.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44286 + ... + 121834.

It is an arithmetic number, because the mean of its divisors is an integer number (563749725).

Almost surely, 26441219940 is an apocalyptic number.

It is an amenable number.

6441219940 is an abundant number, since it is smaller than the sum of its proper divisors (7088773460).

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

6441219940 is a wasteful number, since it uses less digits than its factorization.

6441219940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81711 (or 81709 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 6441219940 is about 80257.2111401835. The cubic root of 6441219940 is about 1860.6129651999.

The spelling of 6441219940 in words is "six billion, four hundred forty-one million, two hundred nineteen thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 4153 8306 16612 20765 41530 77549 83060 155098 310196 387745 775490 1550980 322060997 644121994 1288243988 1610304985 3220609970 6441219940