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40450137600 = 293524992111
BaseRepresentation
bin100101101011000001…
…000001111000000000
310212102001001220012110
4211223001001320000
51130320213400400
630325454455320
72631251332215
oct455301017000
9125361056173
1040450137600
1116178059094
127a0a804540
133a783c9a82
141d5a2a3b0c
1510bb2a0e50
hex96b041e00

40450137600 has 240 divisors, whose sum is σ = 133955712000. Its totient is φ = 10759987200.

The previous prime is 40450137593. The next prime is 40450137613. The reversal of 40450137600 is 673105404.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19160545 + ... + 19162655.

It is an arithmetic number, because the mean of its divisors is an integer number (558148800).

Almost surely, 240450137600 is an apocalyptic number.

40450137600 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 40450137600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66977856000).

40450137600 is an abundant number, since it is smaller than the sum of its proper divisors (93505574400).

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

40450137600 is a wasteful number, since it uses less digits than its factorization.

40450137600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2641 (or 2620 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The spelling of 40450137600 in words is "forty billion, four hundred fifty million, one hundred thirty-seven thousand, six hundred".