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5103541440 = 2632517104239
BaseRepresentation
bin1001100000011000…
…11101110011000000
3111011200012202201100
410300030131303000
540423001311230
62202230334400
7240320246364
oct46014356300
914150182640
105103541440
1121898a8248
12ba51ba400
1363444230a
14365b352a4
151ed0aa660
hex13031dcc0

5103541440 has 168 divisors, whose sum is σ = 18586825920. Its totient is φ = 1280876544.

The previous prime is 5103541357. The next prime is 5103541453. The reversal of 5103541440 is 441453015.

It is a happy number.

5103541440 is a `hidden beast` number, since 510 + 3 + 5 + 4 + 144 + 0 = 666.

It is a super-2 number, since 2×51035414402 = 52092270459594547200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3160 + ... + 101079.

Almost surely, 25103541440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5103541440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9293412960).

5103541440 is an abundant number, since it is smaller than the sum of its proper divisors (13483284480).

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

5103541440 is a wasteful number, since it uses less digits than its factorization.

5103541440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104279 (or 104266 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 5103541440 is about 71439.0750220074. The cubic root of 5103541440 is about 1721.6989522571.

Adding to 5103541440 its reverse (441453015), we get a palindrome (5544994455).

The spelling of 5103541440 in words is "five billion, one hundred three million, five hundred forty-one thousand, four hundred forty".