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14034030344040 = 2335733769494749
BaseRepresentation
bin1100110000111000110101…
…1001001011011101101000
31211200122021201000112210010
43030032031121023131220
53314413143232002130
645503051115251520
72645632232453430
oct314161531133550
954618251015703
1014034030344040
114520887298863
1216a7a80449ba0
137aa5323031b5
14367371c892c0
151950cd7930b0
hexcc38d64b768

14034030344040 has 128 divisors (see below), whose sum is σ = 48118197600000. Its totient is φ = 3207676889088.

The previous prime is 14034030344017. The next prime is 14034030344077. The reversal of 14034030344040 is 4044303043041.

14034030344040 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 14034030343989 and 14034030344007.

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, 28118586 + ... + 28613334.

It is an arithmetic number, because the mean of its divisors is an integer number (375923418750).

Almost surely, 214034030344040 is an apocalyptic number.

14034030344040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14034030344040 is an abundant number, since it is smaller than the sum of its proper divisors (34084167255960).

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

14034030344040 is a wasteful number, since it uses less digits than its factorization.

14034030344040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528539 (or 528535 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 14034030344040 its reverse (4044303043041), we get a palindrome (18078333387081).

The spelling of 14034030344040 in words is "fourteen trillion, thirty-four billion, thirty million, three hundred forty-four thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 33769 67538 101307 135076 168845 202614 236383 270152 337690 405228 472766 494749 506535 675380 709149 810456 945532 989498 1013070 1181915 1350760 1418298 1484247 1891064 1978996 2026140 2363830 2473745 2836596 2968494 3463243 3545745 3957992 4052280 4727660 4947490 5673192 5936988 6926486 7091490 7421235 9455320 9894980 10389729 11873976 13852972 14182980 14842470 17316215 19789960 20779458 27705944 28365960 29684940 34632430 41558916 51948645 59369880 69264860 83117832 103897290 138529720 207794580 415589160 16707178981 33414357962 50121536943 66828715924 83535894905 100243073886 116950252867 133657431848 167071789810 200486147772 233900505734 250607684715 334143579620 350850758601 400972295544 467801011468 501215369430 584751264335 668287159240 701701517202 935602022936 1002430738860 1169502528670 1403403034404 1754253793005 2004861477720 2339005057340 2806806068808 3508507586010 4678010114680 7017015172020 14034030344040