Search a number
-
+
14241102000 = 243534315507
BaseRepresentation
bin11010100001101010…
…11111100010110000
31100202111010221100020
431100311133202300
5213131210231000
610313044123440
71012623240546
oct152065374260
940674127306
1014241102000
116048804794
122915396580
13145c557498
14991517d96
155853aaba0
hex350d5f8b0

14241102000 has 160 divisors (see below), whose sum is σ = 46028196864. Its totient is φ = 3788128000.

The previous prime is 14241101999. The next prime is 14241102019. The reversal of 14241102000 is 20114241.

14241102000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2583247 + ... + 2588753.

Almost surely, 214241102000 is an apocalyptic number.

14241102000 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 14241102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23014098432).

14241102000 is an abundant number, since it is smaller than the sum of its proper divisors (31787094864).

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

14241102000 is a wasteful number, since it uses less digits than its factorization.

14241102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5964 (or 5948 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 14241102000 its reverse (20114241), we get a palindrome (14261216241).

The spelling of 14241102000 in words is "fourteen billion, two hundred forty-one million, one hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 431 500 600 750 862 1000 1200 1293 1500 1724 2000 2155 2586 3000 3448 4310 5172 5507 6000 6465 6896 8620 10344 10775 11014 12930 16521 17240 20688 21550 22028 25860 27535 32325 33042 34480 43100 44056 51720 53875 55070 64650 66084 82605 86200 88112 103440 107750 110140 129300 132168 137675 161625 165210 172400 215500 220280 258600 264336 275350 323250 330420 413025 431000 440560 517200 550700 646500 660840 688375 826050 862000 1101400 1293000 1321680 1376750 1652100 2065125 2202800 2373517 2586000 2753500 3304200 4130250 4747034 5507000 6608400 7120551 8260500 9494068 11014000 11867585 14241102 16521000 18988136 23735170 28482204 33042000 35602755 37976272 47470340 56964408 59337925 71205510 94940680 113928816 118675850 142411020 178013775 189881360 237351700 284822040 296689625 356027550 474703400 569644080 593379250 712055100 890068875 949406800 1186758500 1424110200 1780137750 2373517000 2848220400 3560275500 4747034000 7120551000 14241102000