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144112614442125 = 353737703145451
BaseRepresentation
bin100000110001000111010101…
…001100010000010010001101
3200220021000211212212122021020
4200301013111030100102031
5122342120113244122000
61230300230543224353
742232535634204000
oct4061072514202215
9626230755778236
10144112614442125
1141a118a8931a9a
12141b5ba6ba80b9
1362549b85646b4
142783132b31537
15119da76d73ba0
hex8311d531048d

144112614442125 has 128 divisors (see below), whose sum is σ = 279692327116800. Its totient is φ = 65871046920000.

The previous prime is 144112614442079. The next prime is 144112614442127. The reversal of 144112614442125 is 521244416211441.

It is not a de Polignac number, because 144112614442125 - 219 = 144112613917837 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144112614442127) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 990725650 + ... + 990871100.

It is an arithmetic number, because the mean of its divisors is an integer number (2185096305600).

Almost surely, 2144112614442125 is an apocalyptic number.

144112614442125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144112614442125 is a deficient number, since it is larger than the sum of its proper divisors (135579712674675).

144112614442125 is an equidigital number, since it uses as much as digits as its factorization.

144112614442125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153193 (or 153169 counting only the distinct ones).

The product of its digits is 245760, while the sum is 42.

The spelling of 144112614442125 in words is "one hundred forty-four trillion, one hundred twelve billion, six hundred fourteen million, four hundred forty-two thousand, one hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 49 75 105 125 147 175 245 343 375 525 735 875 1029 1225 1715 2625 3675 5145 6125 7703 8575 18375 23109 25725 38515 42875 53921 115545 128625 145451 161763 192575 269605 377447 436353 577725 727255 808815 962875 1018157 1132341 1348025 1887235 2181765 2642129 2888625 3054471 3636275 4044075 5090785 5661705 6740125 7127099 7926387 9436175 10908825 13210645 15272355 18181375 20220375 21381297 25453925 28308525 35635495 39631935 47180875 49889693 54544125 66053225 76361775 106906485 127269625 141542625 149669079 178177475 198159675 249448465 330266125 381808875 534532425 748345395 890887375 990798375 1120409053 1247242325 2672662125 3361227159 3741726975 5602045265 6236211625 7842863371 16806135795 18708634875 23528590113 28010226325 39214316855 54900043597 84030678975 117642950565 140051131625 164700130791 196071584275 274500217985 384300305179 420153394875 588214752825 823500653955 980357921375 1152900915537 1372501089925 1921501525895 2941073764125 4117503269775 5764504577685 6862505449625 9607507629475 20587516348875 28822522888425 48037538147375 144112614442125