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10144251400 = 235250721257
BaseRepresentation
bin10010111001010010…
…01111111000001000
3222011222012100211211
421130221033320020
5131233412021100
64354334302504
7506245466653
oct113451177010
928158170754
1010144251400
114336190248
121b71357a34
13c5885592a
146c339289a
153e58a41ba
hex25ca4fe08

10144251400 has 24 divisors (see below), whose sum is σ = 23585384970. Its totient is φ = 4057700480.

The previous prime is 10144251391. The next prime is 10144251401. The reversal of 10144251400 is 415244101.

It can be written as a sum of positive squares in 3 ways, for example, as 4981254084 + 5162997316 = 70578^2 + 71854^2 .

It is not an unprimeable number, because it can be changed into a prime (10144251401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25360429 + ... + 25360828.

Almost surely, 210144251400 is an apocalyptic number.

10144251400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10144251400 is an abundant number, since it is smaller than the sum of its proper divisors (13441133570).

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

10144251400 is a wasteful number, since it uses less digits than its factorization.

10144251400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50721273 (or 50721264 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

Adding to 10144251400 its reverse (415244101), we get a palindrome (10559495501).

The spelling of 10144251400 in words is "ten billion, one hundred forty-four million, two hundred fifty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 50721257 101442514 202885028 253606285 405770056 507212570 1014425140 1268031425 2028850280 2536062850 5072125700 10144251400