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14001201201400 = 2352722943671869
BaseRepresentation
bin1100101110111110100010…
…0111111100000011111000
31211120111112210012022022021
43023233220213330003320
53313343430001421100
645440021341004224
72643360550401340
oct313575047740370
954514483168267
1014001201201400
114508970082016
1216a1639b53674
137a73cca791ca
14365939bd1d20
1519430b5c4a1a
hexcbbe89fc0f8

14001201201400 has 96 divisors (see below), whose sum is σ = 37365651972000. Its totient is φ = 4779449233920.

The previous prime is 14001201201349. The next prime is 14001201201511. The reversal of 14001201201400 is 410210210041.

It is a happy number.

It is a super-3 number, since 3×140012012014003 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21515335 + ... + 22156534.

It is an arithmetic number, because the mean of its divisors is an integer number (389225541375).

Almost surely, 214001201201400 is an apocalyptic number.

14001201201400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14001201201400 is an abundant number, since it is smaller than the sum of its proper divisors (23364450770600).

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

14001201201400 is a wasteful number, since it uses less digits than its factorization.

14001201201400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43672121 (or 43672112 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 14001201201400 its reverse (410210210041), we get a palindrome (14411411411441).

The spelling of 14001201201400 in words is "fourteen trillion, one billion, two hundred one million, two hundred one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 229 280 350 458 700 916 1145 1400 1603 1832 2290 3206 4580 5725 6412 8015 9160 11450 12824 16030 22900 32060 40075 45800 64120 80150 160300 320600 43671869 87343738 174687476 218359345 305703083 349374952 436718690 611406166 873437380 1091796725 1222812332 1528515415 1746874760 2183593450 2445624664 3057030830 4367186900 6114061660 7642577075 8734373800 10000858001 12228123320 15285154150 20001716002 30570308300 40003432004 50004290005 61140616600 70006006007 80006864008 100008580010 140012012014 200017160020 250021450025 280024024028 350030030035 400034320040 500042900050 560048048056 700060060070 1000085800100 1400120120140 1750150150175 2000171600200 2800240240280 3500300300350 7000600600700 14001201201400