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144114223120 = 2457733525299
BaseRepresentation
bin1000011000110111100…
…0001000100000010000
3111202222120100001212021
42012031320020200100
54330121220114440
6150112151541224
713261166453620
oct2061570104020
9452876301767
10144114223120
11561337a393a
1223b1b68a814
131078906704a
146d91bd6880
153b3700a84a
hex218de08810

144114223120 has 80 divisors (see below), whose sum is σ = 388177833600. Its totient is φ = 48733719552.

The previous prime is 144114223093. The next prime is 144114223129. The reversal of 144114223120 is 21322411441.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1441142231202 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (144114223129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1721770 + ... + 1803529.

It is an arithmetic number, because the mean of its divisors is an integer number (4852222920).

Almost surely, 2144114223120 is an apocalyptic number.

144114223120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144114223120 is an abundant number, since it is smaller than the sum of its proper divisors (244063610480).

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

144114223120 is a wasteful number, since it uses less digits than its factorization.

144114223120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3525392 (or 3525386 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 144114223120 its reverse (21322411441), we get a palindrome (165436634561).

The spelling of 144114223120 in words is "one hundred forty-four billion, one hundred fourteen million, two hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 73 80 112 140 146 280 292 365 511 560 584 730 1022 1168 1460 2044 2555 2920 4088 5110 5840 8176 10220 20440 40880 3525299 7050598 14101196 17626495 24677093 28202392 35252990 49354186 56404784 70505980 98708372 123385465 141011960 197416744 246770930 257346827 282023920 394833488 493541860 514693654 987083720 1029387308 1286734135 1801427789 1974167440 2058774616 2573468270 3602855578 4117549232 5146936540 7205711156 9007138945 10293873080 14411422312 18014277890 20587746160 28822844624 36028555780 72057111560 144114223120