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43742006000 = 2453721140577
BaseRepresentation
bin101000101111001110…
…100000101011110000
311011220110022010201022
4220233032200223300
51204040423143000
632032250555012
73105652626200
oct505716405360
9134813263638
1043742006000
1117607249590
128589138a68
1341813c2ab4
14218d564400
151210299585
hexa2f3a0af0

43742006000 has 240 divisors, whose sum is σ = 134224882272. Its totient is φ = 13633536000.

The previous prime is 43742005999. The next prime is 43742006029. The reversal of 43742006000 is 60024734.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1057712 + ... + 1098288.

Almost surely, 243742006000 is an apocalyptic number.

43742006000 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 43742006000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67112441136).

43742006000 is an abundant number, since it is smaller than the sum of its proper divisors (90482876272).

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

43742006000 is a wasteful number, since it uses less digits than its factorization.

43742006000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40625 (or 40602 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 26.

The spelling of 43742006000 in words is "forty-three billion, seven hundred forty-two million, six thousand".