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40244530000 = 245437108769
BaseRepresentation
bin100101011110110000…
…101100101101010000
310211212201011221121011
4211132300230231100
51124410044430000
630253231540304
72623203601153
oct453660545520
9124781157534
1040244530000
1116081a96054
12797198a694
133a4492b27c
141d3ac61c9a
1510a81da2ba
hex95ec2cb50

40244530000 has 100 divisors (see below), whose sum is σ = 100070357860. Its totient is φ = 15662592000.

The previous prime is 40244529961. The next prime is 40244530019. The reversal of 40244530000 is 3544204.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 23801084176 + 16443445824 = 154276^2 + 128232^2 .

It is a tau number, because it is divible by the number of its divisors (100).

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 19 ways as a sum of consecutive naturals, for example, 315616 + ... + 424384.

Almost surely, 240244530000 is an apocalyptic number.

40244530000 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 40244530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50035178930).

40244530000 is an abundant number, since it is smaller than the sum of its proper divisors (59825827860).

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

40244530000 is a wasteful number, since it uses less digits than its factorization.

40244530000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108834 (or 108813 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The spelling of 40244530000 in words is "forty billion, two hundred forty-four million, five hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 37 40 50 74 80 100 125 148 185 200 250 296 370 400 500 592 625 740 925 1000 1250 1480 1850 2000 2500 2960 3700 4625 5000 7400 9250 10000 14800 18500 23125 37000 46250 74000 92500 108769 185000 217538 370000 435076 543845 870152 1087690 1740304 2175380 2719225 4024453 4350760 5438450 8048906 8701520 10876900 13596125 16097812 20122265 21753800 27192250 32195624 40244530 43507600 54384500 64391248 67980625 80489060 100611325 108769000 135961250 160978120 201222650 217538000 271922500 321956240 402445300 503056625 543845000 804890600 1006113250 1087690000 1609781200 2012226500 2515283125 4024453000 5030566250 8048906000 10061132500 20122265000 40244530000