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10040225140 = 225112941131293
BaseRepresentation
bin10010101100111000…
…11010110101110100
3221220201110021122101
421112130122311310
5131030244201030
64340140511444
7503543335261
oct112634326564
927821407571
1010040225140
114292499830
121b4254b584
13c4013262a
146b3634268
153db6a67ca
hex25671ad74

10040225140 has 192 divisors, whose sum is σ = 24644632320. Its totient is φ = 3401216000.

The previous prime is 10040225131. The next prime is 10040225141. The reversal of 10040225140 is 4152204001.

It is a super-2 number, since 2×100402251402 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10040225141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34266834 + ... + 34267126.

It is an arithmetic number, because the mean of its divisors is an integer number (128357460).

Almost surely, 210040225140 is an apocalyptic number.

10040225140 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 10040225140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12322316160).

10040225140 is an abundant number, since it is smaller than the sum of its proper divisors (14604407180).

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

10040225140 is a wasteful number, since it uses less digits than its factorization.

10040225140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

Adding to 10040225140 its reverse (4152204001), we get a palindrome (14192429141).

The spelling of 10040225140 in words is "ten billion, forty million, two hundred twenty-five thousand, one hundred forty".