Search a number
-
+
10324151440 = 2453710333863
BaseRepresentation
bin10011001110101111…
…00000110010010000
3222122111201020022021
421213113200302100
5132120440321230
64424242221224
7513561560611
oct114727406220
928574636267
1010324151440
114418794869
122001654814
13c86bc3165
146dd221c08
1540658cc7a
hex2675e0c90

10324151440 has 80 divisors (see below), whose sum is σ = 24892478208. Its totient is φ = 3978920448.

The previous prime is 10324151423. The next prime is 10324151449. The reversal of 10324151440 is 4415142301.

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

It is not an unprimeable number, because it can be changed into a prime (10324151449) 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, 287949 + ... + 321811.

Almost surely, 210324151440 is an apocalyptic number.

10324151440 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 10324151440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12446239104).

10324151440 is an abundant number, since it is smaller than the sum of its proper divisors (14568326768).

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

10324151440 is a wasteful number, since it uses less digits than its factorization.

10324151440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34016 (or 34010 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 10324151440 its reverse (4415142301), we get a palindrome (14739293741).

The spelling of 10324151440 in words is "ten billion, three hundred twenty-four million, one hundred fifty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 103 148 185 206 296 370 412 515 592 740 824 1030 1480 1648 2060 2960 3811 4120 7622 8240 15244 19055 30488 33863 38110 60976 67726 76220 135452 152440 169315 270904 304880 338630 541808 677260 1252931 1354520 2505862 2709040 3487889 5011724 6264655 6975778 10023448 12529310 13951556 17439445 20046896 25058620 27903112 34878890 50117240 55806224 69757780 100234480 129051893 139515560 258103786 279031120 516207572 645259465 1032415144 1290518930 2064830288 2581037860 5162075720 10324151440