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149410424016 = 2435723376451
BaseRepresentation
bin1000101100100110001…
…1100010010011010000
3112021122200001221200000
42023021203202103100
54421443032032031
6152345503530000
713536346435560
oct2131143422320
9467580057600
10149410424016
115840131aa77
1224b592b9900
1311121393429
14733535cda0
153d46e703e6
hex22c98e24d0

149410424016 has 480 divisors, whose sum is σ = 531180668928. Its totient is φ = 39722918400.

The previous prime is 149410424011. The next prime is 149410424017. The reversal of 149410424016 is 610424014941.

It is a happy number.

149410424016 is a `hidden beast` number, since 149 + 4 + 104 + 2 + 401 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149410424011) 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, 23157591 + ... + 23164041.

Almost surely, 2149410424016 is an apocalyptic number.

149410424016 is a gapful number since it is divisible by the number (16) 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 149410424016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265590334464).

149410424016 is an abundant number, since it is smaller than the sum of its proper divisors (381770244912).

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

149410424016 is a wasteful number, since it uses less digits than its factorization.

149410424016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6541 (or 6523 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 149410424016 its reverse (610424014941), we get a palindrome (759834438957).

The spelling of 149410424016 in words is "one hundred forty-nine billion, four hundred ten million, four hundred twenty-four thousand, sixteen".