Search a number
-
+
40023459600000 = 27355227349421
BaseRepresentation
bin10010001100110101100000…
…00101111001011010000000
312020201012112201022011120120
421012122300011321122000
520221221021124200000
6221042305024540240
711300412432255012
oct1106326005713200
9166635481264516
1040023459600000
1111830943597848
1245a4993781680
131944271935096
149c52080441b2
1549617e5646a0
hex2466b0179680

40023459600000 has 768 divisors, whose sum is σ = 134167631472000. Its totient is φ = 10570291200000.

The previous prime is 40023459599969. The next prime is 40023459600013. The reversal of 40023459600000 is 695432004.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95067599790 + ... + 95067600210.

Almost surely, 240023459600000 is an apocalyptic number.

40023459600000 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 40023459600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67083815736000).

40023459600000 is an abundant number, since it is smaller than the sum of its proper divisors (94144171872000).

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

40023459600000 is an equidigital number, since it uses as much as digits as its factorization.

40023459600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1039 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The spelling of 40023459600000 in words is "forty trillion, twenty-three billion, four hundred fifty-nine million, six hundred thousand".