Search a number
-
+
6440155400 = 2352713813331
BaseRepresentation
bin1011111111101110…
…01111100100001000
3121121211021210101002
411333313033210020
5101142134433100
62543014514132
7315410263160
oct57767174410
917554253332
106440155400
112805333088
1212b8965948
137b8329853
144514675a0
1527a5ce2d5
hex17fdcf908

6440155400 has 96 divisors (see below), whose sum is σ = 17129945280. Its totient is φ = 2205792000.

The previous prime is 6440155387. The next prime is 6440155409. The reversal of 6440155400 is 45510446.

It is a super-2 number, since 2×64401554002 = 82951203152298320000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6440155409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1931735 + ... + 1935065.

It is an arithmetic number, because the mean of its divisors is an integer number (178436930).

Almost surely, 26440155400 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 6440155400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8564972640).

6440155400 is an abundant number, since it is smaller than the sum of its proper divisors (10689789880).

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

6440155400 is a wasteful number, since it uses less digits than its factorization.

6440155400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4735 (or 4726 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 6440155400 is about 80250.5788141120. The cubic root of 6440155400 is about 1860.5104584247.

Adding to 6440155400 its reverse (45510446), we get a palindrome (6485665846).

The spelling of 6440155400 in words is "six billion, four hundred forty million, one hundred fifty-five thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1381 1400 2762 3331 5524 6662 6905 9667 11048 13324 13810 16655 19334 23317 26648 27620 33310 34525 38668 46634 48335 55240 66620 69050 77336 83275 93268 96670 116585 133240 138100 166550 186536 193340 233170 241675 276200 333100 386680 466340 483350 582925 666200 932680 966700 1165850 1933400 2331700 4600111 4663400 9200222 18400444 23000555 32200777 36800888 46001110 64401554 92002220 115002775 128803108 161003885 184004440 230005550 257606216 322007770 460011100 644015540 805019425 920022200 1288031080 1610038850 3220077700 6440155400