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14012123031400 = 23521321014104553
BaseRepresentation
bin1100101111100111001110…
…0111011010011101101000
31211121112201221112202110111
43023321303213122131220
53314033311444001100
645445025213424104
72644225320412324
oct313716347323550
954545657482414
1014012123031400
1145125651795aa
1216a378779b034
137a8450734400
14366294554984
1519474a3726ba
hexcbe739da768

14012123031400 has 144 divisors (see below), whose sum is σ = 35626256308260. Its totient is φ = 5122480896000.

The previous prime is 14012123031377. The next prime is 14012123031419. The reversal of 14012123031400 is 413032121041.

It can be written as a sum of positive squares in 18 ways, for example, as 3802679402116 + 10209443629284 = 1950046^2 + 3195222^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1361524 + ... + 5466076.

Almost surely, 214012123031400 is an apocalyptic number.

14012123031400 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 14012123031400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17813128154130).

14012123031400 is an abundant number, since it is smaller than the sum of its proper divisors (21614133276860).

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

14012123031400 is a wasteful number, since it uses less digits than its factorization.

14012123031400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4104696 (or 4104674 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 14012123031400 its reverse (413032121041), we get a palindrome (14425155152441).

The spelling of 14012123031400 in words is "fourteen trillion, twelve billion, one hundred twenty-three million, thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 101 104 130 169 200 202 260 325 338 404 505 520 650 676 808 845 1010 1300 1313 1352 1690 2020 2525 2600 2626 3380 4040 4225 5050 5252 6565 6760 8450 10100 10504 13130 16900 17069 20200 26260 32825 33800 34138 52520 65650 68276 85345 131300 136552 170690 262600 341380 426725 682760 853450 1706900 3413800 4104553 8209106 16418212 20522765 32836424 41045530 53359189 82091060 102613825 106718378 164182120 205227650 213436756 266795945 410455300 414559853 426873512 533591890 693669457 820910600 829119706 1067183780 1333979725 1387338914 1658239412 2072799265 2134367560 2667959450 2774677828 3316478824 3468347285 4145598530 5335918900 5389278089 5549355656 6936694570 8291197060 10363996325 10671837800 10778556178 13873389140 16582394120 17341736425 20727992650 21557112356 26946390445 27746778280 34683472850 41455985300 43114224712 53892780890 69366945700 70060615157 82911970600 107785561780 134731952225 138733891400 140121230314 215571123560 269463904450 280242460628 350303075785 538927808900 560484921256 700606151570 1077855617800 1401212303140 1751515378925 2802424606280 3503030757850 7006061515700 14012123031400