Search a number
-
+
42995915424 = 25337112411433
BaseRepresentation
bin101000000010110000…
…011001101010100000
311002222110101210212000
4220002300121222200
51201023423243144
631430235404000
73051323152050
oct500260315240
9132873353760
1042995915424
1117264089700
1283bb2b3600
134092966897
14211c42d560
1511b9a20769
hexa02c19aa0

42995915424 has 576 divisors, whose sum is σ = 161488131840. Its totient is φ = 10887782400.

The previous prime is 42995915401. The next prime is 42995915429. The reversal of 42995915424 is 42451959924.

42995915424 is a `hidden beast` number, since 4 + 2 + 9 + 9 + 5 + 91 + 542 + 4 = 666.

It is a super-2 number, since 2×429959154242 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (42995915429) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30003412 + ... + 30004844.

It is an arithmetic number, because the mean of its divisors is an integer number (280361340).

Almost surely, 242995915424 is an apocalyptic number.

42995915424 is a gapful number since it is divisible by the number (44) 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 42995915424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80744065920).

42995915424 is an abundant number, since it is smaller than the sum of its proper divisors (118492216416).

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

42995915424 is a wasteful number, since it uses less digits than its factorization.

42995915424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1522 (or 1497 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The spelling of 42995915424 in words is "forty-two billion, nine hundred ninety-five million, nine hundred fifteen thousand, four hundred twenty-four".