Search a number
-
+
14056353655300 = 22521123857648293
BaseRepresentation
bin1100110010001011111111…
…1101110110101000000100
31211202202220110021020221001
43030202333331312220010
53320244403013432200
645521222201303044
72650352355461515
oct314427775665004
954682813236831
1014056353655300
11452a2a220aa30
1216b0270494a84
137ac67c125608
1436848c94aa0c
1519598848776a
hexcc8bff76a04

14056353655300 has 144 divisors (see below), whose sum is σ = 34762540804992. Its totient is φ = 4883453977600.

The previous prime is 14056353655229. The next prime is 14056353655303. The reversal of 14056353655300 is 355635365041.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (14056353655303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21357954 + ... + 22006246.

It is an arithmetic number, because the mean of its divisors is an integer number (241406533368).

Almost surely, 214056353655300 is an apocalyptic number.

14056353655300 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 14056353655300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17381270402496).

14056353655300 is an abundant number, since it is smaller than the sum of its proper divisors (20706187149692).

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

14056353655300 is a wasteful number, since it uses less digits than its factorization.

14056353655300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649198 (or 649191 counting only the distinct ones).

The product of its (nonzero) digits is 2430000, while the sum is 46.

The spelling of 14056353655300 in words is "fourteen trillion, fifty-six billion, three hundred fifty-three million, six hundred fifty-five thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 44 46 50 55 92 100 110 115 220 230 253 275 460 506 550 575 857 1012 1100 1150 1265 1714 2300 2530 3428 4285 5060 6325 8570 9427 12650 17140 18854 19711 21425 25300 37708 39422 42850 47135 78844 85700 94270 98555 188540 197110 216821 235675 394220 433642 471350 492775 648293 867284 942700 985550 1084105 1296586 1971100 2168210 2593172 3241465 4336420 5420525 6482930 7131223 10841050 12965860 14262446 14910739 16207325 21682100 28524892 29821478 32414650 35656115 59642956 64829300 71312230 74553695 142624460 149107390 164018129 178280575 298214780 328036258 356561150 372768475 555587101 656072516 713122300 745536950 820090645 1111174202 1491073900 1640181290 2222348404 2777935505 3280362580 4100453225 5555871010 6111458111 8200906450 11111742020 12222916222 12778503323 13889677525 16401812900 24445832444 25557006646 27779355050 30557290555 51114013292 55558710100 61114581110 63892516615 122229162220 127785033230 140563536553 152786452775 255570066460 281127073106 305572905550 319462583075 562254146212 611145811100 638925166150 702817682765 1277850332300 1405635365530 2811270731060 3514088413825 7028176827650 14056353655300