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144320727776660 = 2253710713113913677
BaseRepresentation
bin100000110100001001001001…
…101101100111110110010100
3200220222221000122211102102022
4200310021021231213312110
5122404022322302323120
61230540005502232312
742253554113311361
oct4064111155476624
9626887018742368
10144320727776660
1141a9209343a546
121422a3a7885698
13626b503728a26
14278d23657d468
1511a41a772e025
hex834249b67d94

144320727776660 has 96 divisors (see below), whose sum is σ = 316572016134528. Its totient is φ = 55218371120640.

The previous prime is 144320727776653. The next prime is 144320727776663. The reversal of 144320727776660 is 66677727023441.

It is a junction number, because it is equal to n+sod(n) for n = 144320727776593 and 144320727776602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144320727776663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3415742 + ... + 17329418.

It is an arithmetic number, because the mean of its divisors is an integer number (3297625168068).

Almost surely, 2144320727776660 is an apocalyptic number.

144320727776660 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 144320727776660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158286008067264).

144320727776660 is an abundant number, since it is smaller than the sum of its proper divisors (172251288357868).

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

144320727776660 is a wasteful number, since it uses less digits than its factorization.

144320727776660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13913961 (or 13913959 counting only the distinct ones).

The product of its (nonzero) digits is 99574272, while the sum is 62.

The spelling of 144320727776660 in words is "one hundred forty-four trillion, three hundred twenty billion, seven hundred twenty-seven million, seven hundred seventy-six thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 37 74 107 131 148 185 214 262 370 428 524 535 655 740 1070 1310 2140 2620 3959 4847 7918 9694 14017 15836 19388 19795 24235 28034 39590 48470 56068 70085 79180 96940 140170 280340 518629 1037258 2074516 2593145 5186290 10372580 13913677 27827354 55654708 69568385 139136770 278273540 514806049 1029612098 1488763439 1822691687 2059224196 2574030245 2977526878 3645383374 5148060490 5955053756 7290766748 7443817195 9113458435 10296120980 14887634390 18226916870 29775268780 36453833740 55084247243 67439592419 110168494486 134879184838 195028010509 220336988972 269758369676 275421236215 337197962095 390056021018 550842472430 674395924190 780112042036 975140052545 1101684944860 1348791848380 1950280105090 3900560210180 7216036388833 14432072777666 28864145555332 36080181944165 72160363888330 144320727776660