Search a number
-
+
403942291488 = 253217222032
BaseRepresentation
bin1011110000011001101…
…01100011100000100000
31102121122102200112020200
411320030311203200200
523104233211311423
6505322445105200
741120031553131
oct5701465434040
91377572615220
10403942291488
1114634699033a
1266353558200
132c126305ab8
141579d9b3c88
15a792a6ed43
hex5e0cd63820

403942291488 has 162 divisors, whose sum is σ = 1220811056829. Its totient is φ = 126669468672.

The previous prime is 403942291483. The next prime is 403942291499. The reversal of 403942291488 is 884192249304.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

403942291488 is a `hidden beast` number, since 4 + 0 + 39 + 42 + 2 + 91 + 488 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 369698048784 + 34244242704 = 608028^2 + 185052^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=449412.

It is not an unprimeable number, because it can be changed into a prime (403942291481) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 183358995 + ... + 183361197.

Almost surely, 2403942291488 is an apocalyptic number.

403942291488 is a gapful number since it is divisible by the number (48) 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 403942291488

403942291488 is an abundant number, since it is smaller than the sum of its proper divisors (816868765341).

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

403942291488 is an equidigital number, since it uses as much as digits as its factorization.

403942291488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4456 (or 2225 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 403942291488 in words is "four hundred three billion, nine hundred forty-two million, two hundred ninety-one thousand, four hundred eighty-eight".