Search a number
-
+
10425814140 = 22357199713469
BaseRepresentation
bin10011011010110110…
…10100110001111100
3222220121000020022110
421231123110301330
5132323002023030
64442313214020
7516234646410
oct115533246174
928817006273
1010425814140
114470111525
12202b701310
13ca1c996c1
1470c926d40
154104701b0
hex26d6d4c7c

10425814140 has 192 divisors, whose sum is σ = 35483212800. Its totient is φ = 2234179584.

The previous prime is 10425814127. The next prime is 10425814153. The reversal of 10425814140 is 4141852401.

It is an interprime number because it is at equal distance from previous prime (10425814127) and next prime (10425814153).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10425814098 and 10425814107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 767326 + ... + 780794.

It is an arithmetic number, because the mean of its divisors is an integer number (184808400).

Almost surely, 210425814140 is an apocalyptic number.

10425814140 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 10425814140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17741606400).

10425814140 is an abundant number, since it is smaller than the sum of its proper divisors (25057398660).

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

10425814140 is a wasteful number, since it uses less digits than its factorization.

10425814140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13604 (or 13602 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The spelling of 10425814140 in words is "ten billion, four hundred twenty-five million, eight hundred fourteen thousand, one hundred forty".