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6444140500 = 225373159393
BaseRepresentation
bin1100000000001100…
…11100011111010100
3121122002210020220101
412000012130133110
5101144144444000
62543240143444
7315456201430
oct60006343724
917562706811
106444140500
112807605156
1212ba167b84
137b90c36b5
14451bc39c0
1527ab19e6a
hex18019c7d4

6444140500 has 96 divisors (see below), whose sum is σ = 16603711488. Its totient is φ = 2138112000.

The previous prime is 6444140447. The next prime is 6444140543. The reversal of 6444140500 is 50414446.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

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, 78804 + ... + 138196.

It is an arithmetic number, because the mean of its divisors is an integer number (172955328).

Almost surely, 26444140500 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 6444140500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8301855744).

6444140500 is an abundant number, since it is smaller than the sum of its proper divisors (10159570988).

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

6444140500 is a wasteful number, since it uses less digits than its factorization.

6444140500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59450 (or 59438 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 6444140500 is about 80275.4040787089. The cubic root of 6444140500 is about 1860.8941340243.

Adding to 6444140500 its reverse (50414446), we get a palindrome (6494554946).

The spelling of 6444140500 in words is "six billion, four hundred forty-four million, one hundred forty thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 31 35 50 62 70 100 124 125 140 155 175 217 250 310 350 434 500 620 700 775 868 875 1085 1550 1750 2170 3100 3500 3875 4340 5425 7750 10850 15500 21700 27125 54250 59393 108500 118786 237572 296965 415751 593930 831502 1187860 1484825 1663004 1841183 2078755 2969650 3682366 4157510 5939300 7364732 7424125 8315020 9205915 10393775 12888281 14848250 18411830 20787550 25776562 29696500 36823660 41575100 46029575 51553124 51968875 64441405 92059150 103937750 128882810 184118300 207875500 230147875 257765620 322207025 460295750 644414050 920591500 1288828100 1611035125 3222070250 6444140500