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13026341213040 = 2435293919477571
BaseRepresentation
bin1011110110001110111001…
…1100001101001101110000
31201010022021010010210111110
42331203232130031031300
53201410421322304130
643412115112113320
72513056610253021
oct275435634151560
951108233123443
1013026341213040
114172493022a51
121564713395840
137364c00295cc
1433069a57ac48
15178ca1e8aab0
hexbd8ee70d370

13026341213040 has 160 divisors (see below), whose sum is σ = 41784875596800. Its totient is φ = 3353045713920.

The previous prime is 13026341213023. The next prime is 13026341213099. The reversal of 13026341213040 is 4031214362031.

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 = 13026341212989 and 13026341213007.

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, 27037455 + ... + 27515025.

It is an arithmetic number, because the mean of its divisors is an integer number (261155472480).

Almost surely, 213026341213040 is an apocalyptic number.

13026341213040 is a gapful number since it is divisible by the number (10) 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 13026341213040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20892437798400).

13026341213040 is an abundant number, since it is smaller than the sum of its proper divisors (28758534383760).

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

13026341213040 is a wasteful number, since it uses less digits than its factorization.

13026341213040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481535 (or 481529 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 13026341213040 its reverse (4031214362031), we get a palindrome (17057555575071).

The spelling of 13026341213040 in words is "thirteen trillion, twenty-six billion, three hundred forty-one million, two hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 580 696 870 1160 1392 1740 2320 3480 3919 6960 7838 11757 15676 19595 23514 31352 39190 47028 58785 62704 78380 94056 113651 117570 156760 188112 227302 235140 313520 340953 454604 470280 477571 568255 681906 909208 940560 955142 1136510 1363812 1432713 1704765 1818416 1910284 2273020 2387855 2727624 2865426 3409530 3820568 4546040 4775710 5455248 5730852 6819060 7163565 7641136 9092080 9551420 11461704 13638120 13849559 14327130 19102840 22923408 27276240 27699118 28654260 38205680 41548677 55398236 57308520 69247795 83097354 110796472 114617040 138495590 166194708 207743385 221592944 276991180 332389416 415486770 553982360 664778832 830973540 1107964720 1661947080 1871600749 3323894160 3743201498 5614802247 7486402996 9358003745 11229604494 14972805992 18716007490 22459208988 28074011235 29945611984 37432014980 44918417976 54276421721 56148022470 74864029960 89836835952 108552843442 112296044940 149728059920 162829265163 217105686884 224592089880 271382108605 325658530326 434211373768 449184179760 542764217210 651317060652 814146325815 868422747536 1085528434420 1302634121304 1628292651630 2171056868840 2605268242608 3256585303260 4342113737680 6513170606520 13026341213040