Search a number
-
+
149418295488 = 26337117971409
BaseRepresentation
bin1000101100101000000…
…1100100000011000000
3112021200012212212022000
42023022001210003000
54422002040423423
6152350344344000
713536503361510
oct2131201440300
9467605785260
10149418295488
1158405806a20
1224b5ba75000
1311122bbb1c7
14733640b840
153d479c7843
hex22ca0640c0

149418295488 has 448 divisors, whose sum is σ = 548727782400. Its totient is φ = 38733742080.

The previous prime is 149418295487. The next prime is 149418295501. The reversal of 149418295488 is 884592814941.

149418295488 is a `hidden beast` number, since 1 + 4 + 9 + 4 + 1 + 82 + 9 + 548 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (149418295487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 106044928 + ... + 106046336.

It is an arithmetic number, because the mean of its divisors is an integer number (1224838800).

Almost surely, 2149418295488 is an apocalyptic number.

149418295488 is a gapful number since it is divisible by the number (18) 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 149418295488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274363891200).

149418295488 is an abundant number, since it is smaller than the sum of its proper divisors (399309486912).

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

149418295488 is a wasteful number, since it uses less digits than its factorization.

149418295488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2245 (or 2229 counting only the distinct ones).

The product of its digits is 26542080, while the sum is 63.

The spelling of 149418295488 in words is "one hundred forty-nine billion, four hundred eighteen million, two hundred ninety-five thousand, four hundred eighty-eight".