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14120002420000 = 25545313320757
BaseRepresentation
bin1100110101111001000110…
…1110100111110100100000
31211222212012020122111212121
43031132101232213310200
53322320231104420000
650010350051234024
72655064552162261
oct315362156476440
954885166574777
1014120002420000
114554294292a04
1217006742a8914
137b56837a7969
1436b5a9c44968
151974611d0b1a
hexcd791ba7d20

14120002420000 has 120 divisors (see below), whose sum is σ = 35392747817196. Its totient is φ = 5541434496000.

The previous prime is 14120002419989. The next prime is 14120002420001. The reversal of 14120002420000 is 2420002141.

It can be written as a sum of positive squares in 10 ways, for example, as 84399546256 + 14035602873744 = 290516^2 + 3746412^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (14120002420001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5600379 + ... + 7720378.

Almost surely, 214120002420000 is an apocalyptic number.

14120002420000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14120002420000 is an abundant number, since it is smaller than the sum of its proper divisors (21272745397196).

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

14120002420000 is an equidigital number, since it uses as much as digits as its factorization.

14120002420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13320840 (or 13320817 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 14120002420000 its reverse (2420002141), we get a palindrome (14122422422141).

The spelling of 14120002420000 in words is "fourteen trillion, one hundred twenty billion, two million, four hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 53 80 100 106 125 160 200 212 250 265 400 424 500 530 625 800 848 1000 1060 1250 1325 1696 2000 2120 2500 2650 4000 4240 5000 5300 6625 8480 10000 10600 13250 20000 21200 26500 33125 42400 53000 66250 106000 132500 212000 265000 530000 1060000 13320757 26641514 53283028 66603785 106566056 133207570 213132112 266415140 333018925 426264224 532830280 666037850 706000121 1065660560 1332075700 1412000242 1665094625 2131321120 2664151400 2824000484 3330189250 3530000605 5328302800 5648000968 6660378500 7060001210 8325473125 10656605600 11296001936 13320757000 14120002420 16650946250 17650003025 22592003872 26641514000 28240004840 33301892500 35300006050 53283028000 56480009680 66603785000 70600012100 88250015125 112960019360 133207570000 141200024200 176500030250 266415140000 282400048400 353000060500 441250075625 564800096800 706000121000 882500151250 1412000242000 1765000302500 2824000484000 3530000605000 7060001210000 14120002420000