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13140040421112 = 2331189593943079
BaseRepresentation
bin1011111100110110011101…
…1100010000111011111000
31201112011202000021000100220
42333031213130100323320
53210241300321433422
643540241244500040
72524223310501453
oct277154734207370
951464660230326
1013140040421112
114206729291910
121582764b4a620
1374413ca30817
14335da4b7649a
1517bc08bdee5c
hexbf367710ef8

13140040421112 has 128 divisors (see below), whose sum is σ = 36300280896000. Its totient is φ = 3930447319040.

The previous prime is 13140040421083. The next prime is 13140040421113. The reversal of 13140040421112 is 21112404004131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13140040421113) 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, 13461589 + ... + 14404667.

It is an arithmetic number, because the mean of its divisors is an integer number (283595944500).

Almost surely, 213140040421112 is an apocalyptic number.

13140040421112 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 13140040421112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18150140448000).

13140040421112 is an abundant number, since it is smaller than the sum of its proper divisors (23160240474888).

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

13140040421112 is a wasteful number, since it uses less digits than its factorization.

13140040421112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943781 (or 943777 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 13140040421112 its reverse (21112404004131), we get a palindrome (34252444425243).

The spelling of 13140040421112 in words is "thirteen trillion, one hundred forty billion, forty million, four hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 89 132 178 264 267 356 534 593 712 979 1068 1186 1779 1958 2136 2372 2937 3558 3916 4744 5874 6523 7116 7832 11748 13046 14232 19569 23496 26092 39138 52184 52777 78276 105554 156552 158331 211108 316662 422216 580547 633324 943079 1161094 1266648 1741641 1886158 2322188 2829237 3483282 3772316 4644376 5658474 6966564 7544632 10373869 11316948 13933128 20747738 22633896 31121607 41495476 62243214 82990952 83934031 124486428 167868062 248972856 251802093 335736124 503604186 559245847 671472248 923274341 1007208372 1118491694 1677737541 1846548682 2014416744 2236983388 2769823023 3355475082 3693097364 4473966776 5539646046 6151704317 6710950164 7386194728 11079292092 12303408634 13421900328 18455112951 22158584184 24606817268 36910225902 49213634536 49772880383 73820451804 99545760766 147640903608 149318641149 199091521532 298637282298 398183043064 547501684213 597274564596 1095003368426 1194549129192 1642505052639 2190006736852 3285010105278 4380013473704 6570020210556 13140040421112