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144215102223120 = 24351871321163153
BaseRepresentation
bin100000110010100110110001…
…111100000111001100010000
3200220121211101102201100110210
4200302212301330013030100
5122400310012132114440
61230415300420124120
742243124450030215
oct4062466174071420
9626554342640423
10144215102223120
1141a51310585845
1214211a29b36640
13626156c5b59a6
142788096341b0c
1511a15746c3a80
hex8329b1f07310

144215102223120 has 80 divisors (see below), whose sum is σ = 447305763670272. Its totient is φ = 38436806031360.

The previous prime is 144215102223119. The next prime is 144215102223133. The reversal of 144215102223120 is 21322201512441.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160132537 + ... + 161030616.

Almost surely, 2144215102223120 is an apocalyptic number.

144215102223120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144215102223120 is an abundant number, since it is smaller than the sum of its proper divisors (303090661447152).

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

144215102223120 is a wasteful number, since it uses less digits than its factorization.

144215102223120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321165040 (or 321165034 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 144215102223120 its reverse (21322201512441), we get a palindrome (165537303735561).

The spelling of 144215102223120 in words is "one hundred forty-four trillion, two hundred fifteen billion, one hundred two million, two hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1871 3742 5613 7484 9355 11226 14968 18710 22452 28065 29936 37420 44904 56130 74840 89808 112260 149680 224520 449040 321163153 642326306 963489459 1284652612 1605815765 1926978918 2569305224 3211631530 3853957836 4817447295 5138610448 6423263060 7707915672 9634894590 12846526120 15415831344 19269789180 25693052240 38539578360 77079156720 600896259263 1201792518526 1802688777789 2403585037052 3004481296315 3605377555578 4807170074104 6008962592630 7210755111156 9013443888945 9614340148208 12017925185260 14421510222312 18026887777890 24035850370520 28843020444624 36053775555780 48071700741040 72107551111560 144215102223120