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434939006040 = 2335711229415961
BaseRepresentation
bin1100101010001000110…
…00101000110001011000
31112120122122110202221120
412111010120220301120
524111223341143130
6531450324205240
743265123360250
oct6250430506130
91476578422846
10434939006040
11158502803800
1270364239820
1332026027806
14170a0552960
15b4a8e2b910
hex6544628c58

434939006040 has 1536 divisors, whose sum is σ = 1795385088000. Its totient is φ = 82317312000.

The previous prime is 434939005957. The next prime is 434939006077. The reversal of 434939006040 is 40600939434.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 434939005983 and 434939006001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7130147610 + ... + 7130147670.

It is an arithmetic number, because the mean of its divisors is an integer number (1168870500).

Almost surely, 2434939006040 is an apocalyptic number.

434939006040 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 434939006040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897692544000).

434939006040 is an abundant number, since it is smaller than the sum of its proper divisors (1360446081960).

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

434939006040 is a wasteful number, since it uses less digits than its factorization.

434939006040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 42.

The spelling of 434939006040 in words is "four hundred thirty-four billion, nine hundred thirty-nine million, six thousand, forty".