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13126502045040 = 24351731103783223
BaseRepresentation
bin1011111100000100000001…
…1111011101010101110000
31201110212210111102020202220
42333001000133131111300
53210031034010420130
643530122022241040
72523233646264336
oct277010037352560
951425714366686
1013126502045040
114200a1121955a
121580006b86180
13742a92c5b3c7
1433547cb05b56
1517b6b5394410
hexbf0407dd570

13126502045040 has 160 divisors (see below), whose sum is σ = 44475677945856. Its totient is φ = 3188220579840.

The previous prime is 13126502045021. The next prime is 13126502045081. The reversal of 13126502045040 is 4054020562131.

13126502045040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13126502044992 and 13126502045010.

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, 51765132 + ... + 52018091.

Almost surely, 213126502045040 is an apocalyptic number.

13126502045040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13126502045040 is an abundant number, since it is smaller than the sum of its proper divisors (31349175900816).

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

13126502045040 is a wasteful number, since it uses less digits than its factorization.

13126502045040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103783287 (or 103783281 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 13126502045040 in words is "thirteen trillion, one hundred twenty-six billion, five hundred two million, forty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 31 34 40 48 51 60 62 68 80 85 93 102 120 124 136 155 170 186 204 240 248 255 272 310 340 372 408 465 496 510 527 620 680 744 816 930 1020 1054 1240 1360 1488 1581 1860 2040 2108 2480 2635 3162 3720 4080 4216 5270 6324 7440 7905 8432 10540 12648 15810 21080 25296 31620 42160 63240 126480 103783223 207566446 311349669 415132892 518916115 622699338 830265784 1037832230 1245398676 1556748345 1660531568 1764314791 2075664460 2490797352 3113496690 3217279913 3528629582 4151328920 4981594704 5292944373 6226993380 6434559826 7057259164 8302657840 8821573955 9651839739 10585888746 12453986760 12869119652 14114518328 16086399565 17643147910 19303679478 21171777492 24907973520 25738239304 26464721865 28229036656 32172799130 35286295820 38607358956 42343554984 48259198695 51476478608 52929443730 54693758521 64345598260 70572591640 77214717912 84687109968 96518397390 105858887460 109387517042 128691196520 141145183280 154429435824 164081275563 193036794780 211717774920 218775034084 257382393040 273468792605 328162551126 386073589560 423435549840 437550068168 546937585210 656325102252 772147179120 820406377815 875100136336 1093875170420 1312650204504 1640812755630 2187750340840 2625300409008 3281625511260 4375500681680 6563251022520 13126502045040