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148411814220 = 223454310691993
BaseRepresentation
bin1000101000111000001…
…0001001000101001100
3112012002002000022120000
42022032002021011030
54412421411023340
6152102432124300
713502532415005
oct2121602110514
9465062008500
10148411814220
1157a3966671a
122491a996690
1310cc2521c67
14727c8941ac
153cd9465d30
hex228e08914c

148411814220 has 240 divisors, whose sum is σ = 477085556640. Its totient is φ = 38600561664.

The previous prime is 148411814219. The next prime is 148411814237. The reversal of 148411814220 is 22418114841.

It is a happy number.

148411814220 is a `hidden beast` number, since 1 + 4 + 8 + 411 + 8 + 14 + 220 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 74465544 + ... + 74467536.

It is an arithmetic number, because the mean of its divisors is an integer number (1987856486).

Almost surely, 2148411814220 is an apocalyptic number.

148411814220 is a gapful number since it is divisible by the number (10) 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 148411814220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238542778320).

148411814220 is an abundant number, since it is smaller than the sum of its proper divisors (328673742420).

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

148411814220 is a wasteful number, since it uses less digits than its factorization.

148411814220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3126 (or 3115 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The spelling of 148411814220 in words is "one hundred forty-eight billion, four hundred eleven million, eight hundred fourteen thousand, two hundred twenty".