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13140420350520 = 23351937155766007
BaseRepresentation
bin1011111100110111111000…
…0101100101001000111000
31201112012201111011102112110
42333031332011211020320
53210243040102204040
643540343100012320
72524235603031411
oct277157605451070
951465644142473
1013140420350520
114206903799461
1215828502310a0
137441a0665818
14335ddd3d4808
1517bc2c23b980
hexbf37e165238

13140420350520 has 128 divisors (see below), whose sum is σ = 42617579788800. Its totient is φ = 3229963900416.

The previous prime is 13140420350513. The next prime is 13140420350527. The reversal of 13140420350520 is 2505302404131.

It is an interprime number because it is at equal distance from previous prime (13140420350513) and next prime (13140420350527).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13140420350527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77798644 + ... + 77967363.

It is an arithmetic number, because the mean of its divisors is an integer number (332949842100).

Almost surely, 213140420350520 is an apocalyptic number.

13140420350520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13140420350520 is an abundant number, since it is smaller than the sum of its proper divisors (29477159438280).

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

13140420350520 is a wasteful number, since it uses less digits than its factorization.

13140420350520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155766077 (or 155766073 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 13140420350520 its reverse (2505302404131), we get a palindrome (15645722754651).

The spelling of 13140420350520 in words is "thirteen trillion, one hundred forty billion, four hundred twenty million, three hundred fifty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 37 38 40 57 60 74 76 95 111 114 120 148 152 185 190 222 228 285 296 370 380 444 456 555 570 703 740 760 888 1110 1140 1406 1480 2109 2220 2280 2812 3515 4218 4440 5624 7030 8436 10545 14060 16872 21090 28120 42180 84360 155766007 311532014 467298021 623064028 778830035 934596042 1246128056 1557660070 1869192084 2336490105 2959554133 3115320140 3738384168 4672980210 5763342259 5919108266 6230640280 8878662399 9345960420 11526684518 11838216532 14797770665 17290026777 17757324798 18691920840 23053369036 23676433064 28816711295 29595541330 34580053554 35514649596 44393311995 46106738072 57633422590 59191082660 69160107108 71029299192 86450133885 88786623990 109503502921 115266845180 118382165320 138320214216 172900267770 177573247980 219007005842 230533690360 328510508763 345800535540 355146495960 438014011684 547517514605 657021017526 691601071080 876028023368 1095035029210 1314042035052 1642552543815 2190070058420 2628084070104 3285105087630 4380140116840 6570210175260 13140420350520