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144030121100 = 225229436717239
BaseRepresentation
bin1000011000100011011…
…1010011110010001100
3111202202201002020120122
42012020313103302030
54324433202333400
6150055545204112
713256125554335
oct2061067236214
9452681066518
10144030121100
11560a0280838
1223ab7490638
13107747cb838
146d8498328c
153b2e946685
hex2188dd3c8c

144030121100 has 144 divisors (see below), whose sum is σ = 335799340800. Its totient is φ = 53517784320.

The previous prime is 144030121049. The next prime is 144030121133. The reversal of 144030121100 is 1121030441.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8346281 + ... + 8363519.

Almost surely, 2144030121100 is an apocalyptic number.

144030121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144030121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167899670400).

144030121100 is an abundant number, since it is smaller than the sum of its proper divisors (191769219700).

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

144030121100 is a wasteful number, since it uses less digits than its factorization.

144030121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17392 (or 17385 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 144030121100 its reverse (1121030441), we get a palindrome (145151151541).

The spelling of 144030121100 in words is "one hundred forty-four billion, thirty million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 43 50 58 67 86 100 116 134 145 172 215 268 290 335 430 580 670 725 860 1075 1247 1340 1450 1675 1943 2150 2494 2881 2900 3350 3886 4300 4988 5762 6235 6700 7772 9715 11524 12470 14405 17239 19430 24940 28810 31175 34478 38860 48575 57620 62350 68956 72025 83549 86195 97150 124700 144050 167098 172390 194300 288100 334196 344780 417745 430975 499931 741277 835490 861950 999862 1155013 1482554 1670980 1723900 1999724 2088725 2310026 2499655 2965108 3706385 4177450 4620052 4999310 5775065 7412770 8354900 9998620 11550130 12498275 14825540 18531925 21497033 23100260 24996550 28875325 33495377 37063850 42994066 49665559 49993100 57750650 66990754 74127700 85988132 99331118 107485165 115501300 133981508 167476885 198662236 214970330 248327795 334953770 429940660 496655590 537425825 669907540 837384425 993311180 1074851650 1241638975 1440301211 1674768850 2149703300 2483277950 2880602422 3349537700 4966555900 5761204844 7201506055 14403012110 28806024220 36007530275 72015060550 144030121100