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144670990464 = 273371113193171
BaseRepresentation
bin1000011010111100010…
…0000010000010000000
3111211102100222210002000
42012233010002002000
54332241233143324
6150243321224000
713311040062210
oct2065704020200
9454370883060
10144670990464
115639a003440
1224056032000
1310847506890
147005b28240
153b6ad389c9
hex21af102080

144670990464 has 2048 divisors, whose sum is σ = 631701504000. Its totient is φ = 31352832000.

The previous prime is 144670990421. The next prime is 144670990511. The reversal of 144670990464 is 464099076441.

144670990464 is a `hidden beast` number, since 1 + 446 + 70 + 9 + 90 + 46 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 144670990464.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 2037619549 + ... + 2037619619.

It is an arithmetic number, because the mean of its divisors is an integer number (308448000).

Almost surely, 2144670990464 is an apocalyptic number.

144670990464 is a gapful number since it is divisible by the number (14) 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 144670990464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315850752000).

144670990464 is an abundant number, since it is smaller than the sum of its proper divisors (487030513536).

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

144670990464 is a wasteful number, since it uses less digits than its factorization.

144670990464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 144670990464 in words is "one hundred forty-four billion, six hundred seventy million, nine hundred ninety thousand, four hundred sixty-four".