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2144980221744 = 243177725147489
BaseRepresentation
bin11111001101101010110…
…010001011111100110000
321121001120100201012121110
4133031222302023330300
5240120404414043434
64321220150153320
7310653416025213
oct37155262137460
97531510635543
102144980221744
11757754463268
122a7865652840
13127369b4b729
1475b636b177a
153abe104a4e9
hex1f36ac8bf30

2144980221744 has 40 divisors (see below), whose sum is σ = 5544317415280. Its totient is φ = 714591019008.

The previous prime is 2144980221721. The next prime is 2144980221763. The reversal of 2144980221744 is 4471220894412.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 2144980221693 and 2144980221702.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12488449 + ... + 12659040.

It is an arithmetic number, because the mean of its divisors is an integer number (138607935382).

Almost surely, 22144980221744 is an apocalyptic number.

2144980221744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2144980221744 is an abundant number, since it is smaller than the sum of its proper divisors (3399337193536).

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

2144980221744 is a wasteful number, since it uses less digits than its factorization.

2144980221744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25149277 (or 25149271 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The spelling of 2144980221744 in words is "two trillion, one hundred forty-four billion, nine hundred eighty million, two hundred twenty-one thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 1777 3554 5331 7108 10662 14216 21324 28432 42648 85296 25147489 50294978 75442467 100589956 150884934 201179912 301769868 402359824 603539736 1207079472 44687087953 89374175906 134061263859 178748351812 268122527718 357496703624 536245055436 714993407248 1072490110872 2144980221744