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2144223431152 = 241135333448369
BaseRepresentation
bin11111001100111101101…
…011010000100111110000
321120222121121200021002021
4133030331223100213300
5240112332144244102
64321013113401224
7310625566304515
oct37147553204760
97528547607067
102144223431152
117573a62552a0
122a7694109214
1312727911714a
1475ad0d9330c
153ab998ab137
hex1f33dad09f0

2144223431152 has 40 divisors (see below), whose sum is σ = 4533392723760. Its totient is φ = 974370862080.

The previous prime is 2144223431113. The next prime is 2144223431153. The reversal of 2144223431152 is 2511343224412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144223431153) by changing a digit.

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, 1102377 + ... + 2345992.

It is an arithmetic number, because the mean of its divisors is an integer number (113334818094).

Almost surely, 22144223431152 is an apocalyptic number.

2144223431152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2144223431152 is an abundant number, since it is smaller than the sum of its proper divisors (2389169292608).

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

2144223431152 is a wasteful number, since it uses less digits than its factorization.

2144223431152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3451921 (or 3451915 counting only the distinct ones).

The product of its digits is 46080, while the sum is 34.

Adding to 2144223431152 its reverse (2511343224412), we get a palindrome (4655566655564).

The spelling of 2144223431152 in words is "two trillion, one hundred forty-four billion, two hundred twenty-three million, four hundred thirty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 44 88 176 3533 7066 14132 28264 38863 56528 77726 155452 310904 621808 3448369 6896738 13793476 27586952 37932059 55173904 75864118 151728236 303456472 606912944 12183087677 24366175354 48732350708 97464701416 134013964447 194929402832 268027928894 536055857788 1072111715576 2144223431152