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144974770052112 = 24367112132312801
BaseRepresentation
bin100000111101101010010001…
…101010111001110000010000
3201000022110012222202112000000
4200331222101222321300100
5123000231312113131422
61232200253454130000
742352036644031650
oct4075522152716020
9630273188675000
10144974770052112
1142214500234500
12143150b91b0900
1362b80a6729b00
1427b2b5dd50360
1511b61d6c67cac
hex83da91ab9c10

144974770052112 has 2520 divisors, whose sum is σ = 591551667270144. Its totient is φ = 33625912320000.

The previous prime is 144974770052089. The next prime is 144974770052153. The reversal of 144974770052112 is 211250077479441.

144974770052112 is a `hidden beast` number, since 1 + 4 + 4 + 9 + 7 + 47 + 70 + 0 + 521 + 1 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 51758217112 + ... + 51758219912.

Almost surely, 2144974770052112 is an apocalyptic number.

144974770052112 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 144974770052112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295775833635072).

144974770052112 is an abundant number, since it is smaller than the sum of its proper divisors (446576897218032).

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

144974770052112 is a wasteful number, since it uses less digits than its factorization.

144974770052112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2913 (or 2868 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 144974770052112 in words is "one hundred forty-four trillion, nine hundred seventy-four billion, seven hundred seventy million, fifty-two thousand, one hundred twelve".