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134431310141040 = 24351150920950811
BaseRepresentation
bin11110100100001110111010…
…011111001101011001110000
3122121222111201010211022201010
4132210032322133031121300
5120110010310344003130
61153524520305110520
740213225120342623
oct3644167237153160
9577874633738633
10134431310141040
1139919aa8a59610
12130b1831928440
135a01a8362cb13
14252a71db09dba
151081d00abb0b0
hex7a43ba7cd670

134431310141040 has 80 divisors (see below), whose sum is σ = 454622248849536. Its totient is φ = 32589408518400.

The previous prime is 134431310141021. The next prime is 134431310141081. The reversal of 134431310141040 is 40141013134431.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 134431310140989 and 134431310141007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25460472766 + ... + 25460478045.

Almost surely, 2134431310141040 is an apocalyptic number.

134431310141040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134431310141040 is an abundant number, since it is smaller than the sum of its proper divisors (320190938708496).

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

134431310141040 is a wasteful number, since it uses less digits than its factorization.

134431310141040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50920950838 (or 50920950832 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 134431310141040 its reverse (40141013134431), we get a palindrome (174572323275471).

The spelling of 134431310141040 in words is "one hundred thirty-four trillion, four hundred thirty-one billion, three hundred ten million, one hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 50920950811 101841901622 152762852433 203683803244 254604754055 305525704866 407367606488 509209508110 560130458921 611051409732 763814262165 814735212976 1018419016220 1120260917842 1222102819464 1527628524330 1680391376763 2036838032440 2240521835684 2444205638928 2800652294605 3055257048660 3360782753526 4073676064880 4481043671368 5601304589210 6110514097320 6721565507052 8401956883815 8962087342736 11202609178420 12221028194640 13443131014104 16803913767630 22405218356840 26886262028208 33607827535260 44810436713680 67215655070520 134431310141040