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144342222331120 = 24511179719127219
BaseRepresentation
bin100000110100011101001010…
…111000110101110011110000
3200221001222111122121220221221
4200310131022320311303300
5122404400332404043440
61230553522421154424
742255244554103042
oct4064351270656360
9627058448556857
10144342222331120
1141aa021356a440
12142325a625ba14
13627054a93a0c8
1427902b514ba92
1511a4a147bad4a
hex83474ae35cf0

144342222331120 has 80 divisors (see below), whose sum is σ = 366124775978880. Its totient is φ = 52485154387200.

The previous prime is 144342222331103. The next prime is 144342222331133. The reversal of 144342222331120 is 21133222243441.

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 11250871 + ... + 20378089.

It is an arithmetic number, because the mean of its divisors is an integer number (4576559699736).

Almost surely, 2144342222331120 is an apocalyptic number.

144342222331120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144342222331120 is an abundant number, since it is smaller than the sum of its proper divisors (221782553647760).

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

144342222331120 is a wasteful number, since it uses less digits than its factorization.

144342222331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9145214 (or 9145208 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 144342222331120 its reverse (21133222243441), we get a palindrome (165475444574561).

The spelling of 144342222331120 in words is "one hundred forty-four trillion, three hundred forty-two billion, two hundred twenty-two million, three hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 17971 35942 71884 89855 143768 179710 197681 287536 359420 395362 718840 790724 988405 1437680 1581448 1976810 3162896 3953620 7907240 9127219 15814480 18254438 36508876 45636095 73017752 91272190 100399409 146035504 182544380 200798818 365088760 401597636 501997045 730177520 803195272 1003994090 1606390544 2007988180 4015976360 8031952720 164025252649 328050505298 656101010596 820126263245 1312202021192 1640252526490 1804277779139 2624404042384 3280505052980 3608555558278 6561010105960 7217111116556 9021388895695 13122020211920 14434222233112 18042777791390 28868444466224 36085555582780 72171111165560 144342222331120