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14100300242140 = 2257676827220189
BaseRepresentation
bin1100110100101111101101…
…1000110001110011011100
31211220222100011112011210111
43031023323120301303130
53322004403330222030
645553331041215404
72653466404344430
oct315137330616334
954828304464714
1014100300242140
1145469a3990092
1216b8896031564
137b3863a17758
1436a65b3269c0
15196bab69362a
hexcd2fb631cdc

14100300242140 has 96 divisors (see below), whose sum is σ = 34350992847360. Its totient is φ = 4761514416384.

The previous prime is 14100300242057. The next prime is 14100300242173. The reversal of 14100300242140 is 4124200300141.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63927166 + ... + 64147354.

It is an arithmetic number, because the mean of its divisors is an integer number (357822842160).

Almost surely, 214100300242140 is an apocalyptic number.

14100300242140 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 14100300242140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17175496423680).

14100300242140 is an abundant number, since it is smaller than the sum of its proper divisors (20250692605220).

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

14100300242140 is a wasteful number, since it uses less digits than its factorization.

14100300242140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227099 (or 227097 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 14100300242140 its reverse (4124200300141), we get a palindrome (18224500542281).

The spelling of 14100300242140 in words is "fourteen trillion, one hundred billion, three hundred million, two hundred forty-two thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 67 70 134 140 268 335 469 670 938 1340 1876 2345 4690 6827 9380 13654 27308 34135 47789 68270 95578 136540 191156 220189 238945 440378 457409 477890 880756 914818 955780 1100945 1541323 1829636 2201890 2287045 3082646 3201863 4403780 4574090 6165292 6403726 7706615 9148180 12807452 14752663 15413230 16009315 29505326 30826460 32018630 59010652 64037260 73763315 103268641 147526630 206537282 295053260 413074564 516343205 1032686410 1503230303 2065372820 3006460606 6012921212 7516151515 10522612121 15032303030 21045224242 30064606060 42090448484 52613060605 100716430301 105226121210 201432860602 210452242420 402865721204 503582151505 705015012107 1007164303010 1410030024214 2014328606020 2820060048428 3525075060535 7050150121070 14100300242140