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142145354144 = 252910111313421
BaseRepresentation
bin1000010001100010000…
…1011111100110100000
3111120220100120011101002
42010120201133212200
54312103202313034
6145144540131132
713161331401053
oct2043041374640
9446810504332
10142145354144
115531338a4a2
1223670236aa8
131053419c711
146c46522a9a
153a6e246e7e
hex211885f9a0

142145354144 has 96 divisors (see below), whose sum is σ = 294974220240. Its totient is φ = 67336192000.

The previous prime is 142145354129. The next prime is 142145354171. The reversal of 142145354144 is 441453541241.

It can be written as a sum of positive squares in 8 ways, for example, as 105227574544 + 36917779600 = 324388^2 + 192140^2 .

It is a junction number, because it is equal to n+sod(n) for n = 142145354098 and 142145354107.

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, 10584554 + ... + 10597974.

Almost surely, 2142145354144 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 142145354144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147487110120).

142145354144 is an abundant number, since it is smaller than the sum of its proper divisors (152828866096).

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

142145354144 is a wasteful number, since it uses less digits than its factorization.

142145354144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13674 (or 13666 counting only the distinct ones).

The product of its digits is 153600, while the sum is 38.

Adding to 142145354144 its reverse (441453541241), we get a palindrome (583598895385).

The spelling of 142145354144 in words is "one hundred forty-two billion, one hundred forty-five million, three hundred fifty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 29 32 58 101 113 116 202 226 232 404 452 464 808 904 928 1616 1808 2929 3232 3277 3616 5858 6554 11413 11716 13108 13421 22826 23432 26216 26842 45652 46864 52432 53684 91304 93728 104864 107368 182608 214736 330977 365216 389209 429472 661954 778418 1323908 1355521 1516573 1556836 2647816 2711042 3033146 3113672 5295632 5422084 6066292 6227344 10591264 10844168 12132584 12454688 21688336 24265168 39310109 43376672 43980617 48530336 78620218 87961234 153173873 157240436 175922468 306347746 314480872 351844936 612695492 628961744 703689872 1225390984 1257923488 1407379744 2450781968 4442042317 4901563936 8884084634 17768169268 35536338536 71072677072 142145354144