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2144644943040 = 263252293978191
BaseRepresentation
bin11111001101010110110…
…011001100110011000000
321121000200222211021200200
4133031112303030303000
5240114213101134130
64321123012045200
7310642205143245
oct37152663146300
97530628737620
102144644943040
117575a2183426
122a7791303800
1312731554b072
1475b30d575cc
153abc18bd760
hex1f356ccccc0

2144644943040 has 336 divisors, whose sum is σ = 7428466606080. Its totient is φ = 567904296960.

The previous prime is 2144644943029. The next prime is 2144644943059. The reversal of 2144644943040 is 403494464412.

2144644943040 is a `hidden beast` number, since 21 + 44 + 64 + 494 + 3 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 261825345 + ... + 261833535.

Almost surely, 22144644943040 is an apocalyptic number.

2144644943040 is a gapful number since it is divisible by the number (20) 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 2144644943040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3714233303040).

2144644943040 is an abundant number, since it is smaller than the sum of its proper divisors (5283821663040).

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

2144644943040 is a wasteful number, since it uses less digits than its factorization.

2144644943040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8840 (or 8827 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 2144644943040 in words is "two trillion, one hundred forty-four billion, six hundred forty-four million, nine hundred forty-three thousand, forty".