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144130132132 = 227219234735803
BaseRepresentation
bin1000011000111011010…
…0110100100010100100
3111210000200021022220221
42012032310310202210
54330134303212012
6150113520534124
713261451623600
oct2061664644244
9453020238827
10144130132132
115614177a588
1223b24a81344
131078c44736c
146d93d78500
153b385ee507
hex218ed348a4

144130132132 has 144 divisors (see below), whose sum is σ = 329144739840. Its totient is φ = 54782215488.

The previous prime is 144130132073. The next prime is 144130132141. The reversal of 144130132132 is 231231031441.

It is a junction number, because it is equal to n+sod(n) for n = 144130132097 and 144130132106.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4007743 + ... + 4043545.

It is an arithmetic number, because the mean of its divisors is an integer number (2285727360).

Almost surely, 2144130132132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144130132132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164572369920).

144130132132 is an abundant number, since it is smaller than the sum of its proper divisors (185014607708).

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

144130132132 is a wasteful number, since it uses less digits than its factorization.

144130132132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35910 (or 35901 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 144130132132 its reverse (231231031441), we get a palindrome (375361163573).

The spelling of 144130132132 in words is "one hundred forty-four billion, one hundred thirty million, one hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 19 23 28 38 46 47 49 76 92 94 98 133 161 188 196 266 322 329 437 532 644 658 874 893 931 1081 1127 1316 1748 1786 1862 2162 2254 2303 3059 3572 3724 4324 4508 4606 6118 6251 7567 9212 12236 12502 15134 20539 21413 25004 30268 35803 41078 42826 43757 52969 71606 82156 85652 87514 105938 143212 143773 175028 211876 250621 287546 501242 575092 680257 823469 1002484 1006411 1360514 1646938 1682741 1754347 2012822 2721028 3293876 3365482 3508694 4025644 4761799 5764283 6730964 7017388 9523598 11528566 11779187 15645911 19047196 23057132 23558374 31291822 31972079 33332593 38703043 40349981 47116748 62583644 63944158 66665186 77406086 80699962 82454309 109521377 127888316 133330372 154812172 161399924 164908618 219042754 223804553 270921301 329817236 438085508 447609106 541842602 735357817 766649639 895218212 1083685204 1470715634 1533299278 1566631871 1896449107 2941431268 3066598556 3133263742 3792898214 5147504719 6266527484 7585796428 10295009438 20590018876 36032533033 72065066066 144130132132