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14342120301432 = 23371125433051863
BaseRepresentation
bin1101000010110100100011…
…1111000110001101111000
31212210002112000121222202210
43100231020333012031320
53334440130244121212
650300402404255120
73010120053053520
oct320551077061570
955702460558683
1014342120301432
11462a506014860
1217377230a14a0
138005c11b0631
1437823b5d0680
1519d1112bb53c
hexd0b48fc6378

14342120301432 has 128 divisors (see below), whose sum is σ = 44720306012160. Its totient is φ = 3723759937920.

The previous prime is 14342120301317. The next prime is 14342120301491. The reversal of 14342120301432 is 23410302124341.

14342120301432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 14342120301432.

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, 3173533 + ... + 6225395.

It is an arithmetic number, because the mean of its divisors is an integer number (349377390720).

Almost surely, 214342120301432 is an apocalyptic number.

14342120301432 is a gapful number since it is divisible by the number (12) 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 14342120301432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22360153006080).

14342120301432 is an abundant number, since it is smaller than the sum of its proper divisors (30378185710728).

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

14342120301432 is a wasteful number, since it uses less digits than its factorization.

14342120301432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3054433 (or 3054429 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 14342120301432 its reverse (23410302124341), we get a palindrome (37752422425773).

The spelling of 14342120301432 in words is "fourteen trillion, three hundred forty-two billion, one hundred twenty million, three hundred one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1848 2543 5086 7629 10172 15258 17801 20344 27973 30516 35602 53403 55946 61032 71204 83919 106806 111892 142408 167838 195811 213612 223784 335676 391622 427224 587433 671352 783244 1174866 1566488 2349732 3051863 4699464 6103726 9155589 12207452 18311178 21363041 24414904 33570493 36622356 42726082 64089123 67140986 73244712 85452164 100711479 128178246 134281972 170904328 201422958 234993451 256356492 268563944 402845916 469986902 512712984 704980353 805691832 939973804 1409960706 1879947608 2819921412 5639842824 7760887609 15521775218 23282662827 31043550436 46565325654 54326213263 62087100872 85369763699 93130651308 108652426526 162978639789 170739527398 186261302616 217304853052 256109291097 325957279578 341479054796 434609706104 512218582194 597588345893 651914559156 682958109592 1024437164388 1195176691786 1303829118312 1792765037679 2048874328776 2390353383572 3585530075358 4780706767144 7171060150716 14342120301432