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14042434321140 = 22351912491749177
BaseRepresentation
bin1100110001011000001001…
…0011110011101011110100
31211201102222101120211002020
43030112002103303223310
53320032401141234030
645511001045513140
72646350420211411
oct314260223635364
954642871524066
1014042434321140
1145243aa0a8185
1216a9626a127b0
137ab27144ac04
1436792c071108
1519542148a510
hexcc5824f3af4

14042434321140 has 96 divisors (see below), whose sum is σ = 39527063783424. Its totient is φ = 3724818416640.

The previous prime is 14042434321073. The next prime is 14042434321159. The reversal of 14042434321140 is 4112343424041.

It is a happy number.

14042434321140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×140424343211402 (a number of 27 digits) contains 22 as substring.

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, 285524232 + ... + 285573408.

It is an arithmetic number, because the mean of its divisors is an integer number (411740247744).

Almost surely, 214042434321140 is an apocalyptic number.

14042434321140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14042434321140 is an abundant number, since it is smaller than the sum of its proper divisors (25484629462284).

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

14042434321140 is a wasteful number, since it uses less digits than its factorization.

14042434321140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74297 (or 74295 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 14042434321140 its reverse (4112343424041), we get a palindrome (18154777745181).

The spelling of 14042434321140 in words is "fourteen trillion, forty-two billion, four hundred thirty-four million, three hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 191 382 573 764 955 1146 1910 2292 2865 3820 5730 11460 24917 49177 49834 74751 98354 99668 124585 147531 149502 196708 245885 249170 295062 299004 373755 491770 498340 590124 737655 747510 983540 1475310 1495020 2950620 4759147 9392807 9518294 14277441 18785614 19036588 23795735 28178421 28554882 37571228 46964035 47591470 56356842 57109764 71387205 93928070 95182940 112713684 140892105 142774410 187856140 281784210 285548820 563568420 1225343309 2450686618 3676029927 4901373236 6126716545 7352059854 12253433090 14704119708 18380149635 24506866180 36760299270 73520598540 234040572019 468081144038 702121716057 936162288076 1170202860095 1404243432114 2340405720190 2808486864228 3510608580285 4680811440380 7021217160570 14042434321140