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144731256310720 = 2651992657855397
BaseRepresentation
bin100000111010000111011111…
…000111101100101111000000
3200222110011200002200201222001
4200322013133013230233000
5122432234103103420340
61231452342105353344
742325326311263102
oct4072073707545700
9628404602621861
10144731256310720
11421301aa062362
1214295a78a98854
13629b1393ba281
1427a505cb67572
1511aebd35d829a
hex83a1df1ecbc0

144731256310720 has 112 divisors (see below), whose sum is σ = 346503937521600. Its totient is φ = 57579838930944.

The previous prime is 144731256310609. The next prime is 144731256310733. The reversal of 144731256310720 is 27013652137441.

144731256310720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 168770062 + ... + 169625458.

Almost surely, 2144731256310720 is an apocalyptic number.

144731256310720 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 144731256310720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173251968760800).

144731256310720 is an abundant number, since it is smaller than the sum of its proper divisors (201772681210880).

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

144731256310720 is a wasteful number, since it uses less digits than its factorization.

144731256310720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858270 (or 858260 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 46.

The spelling of 144731256310720 in words is "one hundred forty-four trillion, seven hundred thirty-one billion, two hundred fifty-six million, three hundred ten thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 199 320 398 796 995 1592 1990 2657 3184 3980 5314 6368 7960 10628 12736 13285 15920 21256 26570 31840 42512 53140 63680 85024 106280 170048 212560 425120 528743 850240 855397 1057486 1710794 2114972 2643715 3421588 4229944 4276985 5287430 6843176 8459888 8553970 10574860 13686352 16919776 17107940 21149720 27372704 33839552 34215880 42299440 54745408 68431760 84598880 136863520 169197760 170224003 273727040 340448006 680896012 851120015 1361792024 1702240030 2272789829 2723584048 3404480060 4545579658 5447168096 6808960120 9091159316 10894336192 11363949145 13617920240 18182318632 22727898290 27235840480 36364637264 45455796580 54471680960 72729274528 90911593160 145458549056 181823186320 363646372640 452285175971 727292745280 904570351942 1809140703884 2261425879855 3618281407768 4522851759710 7236562815536 9045703519420 14473125631072 18091407038840 28946251262144 36182814077680 72365628155360 144731256310720