Search a number
-
+
10413231440 = 2451077571607
BaseRepresentation
bin10011011001010110…
…10100110101010000
3222212201022222002112
421230223110311100
5132311241401230
64441143404452
7516023002223
oct115453246520
928781288075
1010413231440
114463aa79a7
122027453728
13c9c4b2411
1470adad5ba
1540e2d6d95
hex26cad4d50

10413231440 has 80 divisors (see below), whose sum is σ = 24484540032. Its totient is φ = 4118349312.

The previous prime is 10413231407. The next prime is 10413231443. The reversal of 10413231440 is 4413231401.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10413231443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6479117 + ... + 6480723.

Almost surely, 210413231440 is an apocalyptic number.

10413231440 is a gapful number since it is divisible by the number (10) 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 10413231440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12242270016).

10413231440 is an abundant number, since it is smaller than the sum of its proper divisors (14071308592).

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

10413231440 is a wasteful number, since it uses less digits than its factorization.

10413231440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2484 (or 2478 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 10413231440 its reverse (4413231401), we get a palindrome (14826462841).

The spelling of 10413231440 in words is "ten billion, four hundred thirteen million, two hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 107 214 428 535 757 856 1070 1514 1607 1712 2140 3028 3214 3785 4280 6056 6428 7570 8035 8560 12112 12856 15140 16070 25712 30280 32140 60560 64280 80999 128560 161998 171949 323996 343898 404995 647992 687796 809990 859745 1216499 1295984 1375592 1619980 1719490 2432998 2751184 3239960 3438980 4865996 6082495 6479920 6877960 9731992 12164990 13755920 19463984 24329980 48659960 97319920 130165393 260330786 520661572 650826965 1041323144 1301653930 2082646288 2603307860 5206615720 10413231440