Search a number
-
+
40000740000 = 253541351283
BaseRepresentation
bin100101010000001110…
…101101101010100000
310211020201110010120220
4211100032231222200
51123410142140000
630213122403040
72614153452144
oct452016555240
9124221403526
1040000740000
1115a67414011
127904200480
133a06281330
141d16721224
151091ad11a0
hex9503adaa0

40000740000 has 240 divisors, whose sum is σ = 141306292512. Its totient is φ = 9846144000.

The previous prime is 40000739921. The next prime is 40000740001. The reversal of 40000740000 is 4700004.

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 (15).

40000740000 is a modest number, since divided by 740000 gives 40000 as remainder.

It is not an unprimeable number, because it can be changed into a prime (40000740001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 754359 + ... + 805641.

Almost surely, 240000740000 is an apocalyptic number.

40000740000 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 40000740000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70653146256).

40000740000 is an abundant number, since it is smaller than the sum of its proper divisors (101305552512).

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

40000740000 is a wasteful number, since it uses less digits than its factorization.

40000740000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51329 (or 51306 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The spelling of 40000740000 in words is "forty billion, seven hundred forty thousand".