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45434103440 = 2451117313132
BaseRepresentation
bin101010010100000101…
…010110011010010000
311100021101021121000212
4222110011112122100
51221022112302230
632512214303252
73165620335655
oct522405263220
9140241247025
1045434103440
11182a5404420
12897b957b28
134390b3339b
1422b018dc2c
1512adadb895
hexa94156690

45434103440 has 240 divisors, whose sum is σ = 126355769856. Its totient is φ = 14999961600.

The previous prime is 45434103413. The next prime is 45434103461. The reversal of 45434103440 is 4430143454.

It is a junction number, because it is equal to n+sod(n) for n = 45434103397 and 45434103406.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145156724 + ... + 145157036.

Almost surely, 245434103440 is an apocalyptic number.

45434103440 is a gapful number since it is divisible by the number (40) 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 45434103440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63177884928).

45434103440 is an abundant number, since it is smaller than the sum of its proper divisors (80921666416).

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

45434103440 is a wasteful number, since it uses less digits than its factorization.

45434103440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

Adding to 45434103440 its reverse (4430143454), we get a palindrome (49864246894).

The spelling of 45434103440 in words is "forty-five billion, four hundred thirty-four million, one hundred three thousand, four hundred forty".