Search a number
-
+
40781893000 = 235340781893
BaseRepresentation
bin100101111110110010…
…100100110110001000
310220021011022211001111
4211332302210312020
51132010131034000
630422425300104
72642420241142
oct457662446610
9126234284044
1040781893000
1116328351902
127aa1934634
133acc065844
141d8c381c92
1510da483cba
hex97eca4d88

40781893000 has 32 divisors (see below), whose sum is σ = 95429631960. Its totient is φ = 16312756800.

The previous prime is 40781892971. The next prime is 40781893043. The reversal of 40781893000 is 39818704.

40781893000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 26371811236 + 14410081764 = 162394^2 + 120042^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20389947 + ... + 20391946.

Almost surely, 240781893000 is an apocalyptic number.

40781893000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40781893000 is an abundant number, since it is smaller than the sum of its proper divisors (54647738960).

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

40781893000 is a wasteful number, since it uses less digits than its factorization.

40781893000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40781914 (or 40781900 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The spelling of 40781893000 in words is "forty billion, seven hundred eighty-one million, eight hundred ninety-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 40781893 81563786 163127572 203909465 326255144 407818930 815637860 1019547325 1631275720 2039094650 4078189300 5097736625 8156378600 10195473250 20390946500 40781893000