Search a number
-
+
149102411472 = 2434712721019
BaseRepresentation
bin1000101011011100110…
…0100011111011010000
3112020212012111021220000
42022313030203323100
54420330204131342
6152255142050000
713525616405040
oct2126714437320
9466765437800
10149102411472
1158263473653
1224a92119900
13110a261b5a1
1473064a1720
153d29dcc44c
hex22b7323ed0

149102411472 has 300 divisors, whose sum is σ = 497596857120. Its totient is φ = 42223773312.

The previous prime is 149102411431. The next prime is 149102411477. The reversal of 149102411472 is 274114201941.

It is a happy number.

149102411472 is a `hidden beast` number, since 1 + 49 + 102 + 41 + 1 + 472 = 666.

149102411472 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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 (149102411477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 146321779 + ... + 146322797.

Almost surely, 2149102411472 is an apocalyptic number.

149102411472 is a gapful number since it is divisible by the number (12) 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 149102411472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248798428560).

149102411472 is an abundant number, since it is smaller than the sum of its proper divisors (348494445648).

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

149102411472 is a wasteful number, since it uses less digits than its factorization.

149102411472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 149102411472 in words is "one hundred forty-nine billion, one hundred two million, four hundred eleven thousand, four hundred seventy-two".