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13143231302256 = 2433112765831503
BaseRepresentation
bin1011111101000010010110…
…1000100000101001110000
31201112110222101110120102000
42333100211220200221300
53210314314203133011
643541530032254000
72524365344522106
oct277204550405160
951473871416360
1013143231302256
114208016477070
1215832b56a1300
1374452ab28883
143361c8869c76
1517bd43ddb356
hexbf425a20a70

13143231302256 has 80 divisors (see below), whose sum is σ = 41155572779520. Its totient is φ = 3982797362880.

The previous prime is 13143231302251. The next prime is 13143231302261. The reversal of 13143231302256 is 65220313234131.

13143231302256 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 323 + 1 + 302 + 25 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (13143231302251) and next prime (13143231302261).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13143231302256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13143231302251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1382911000 + ... + 1382920503.

It is an arithmetic number, because the mean of its divisors is an integer number (514444659744).

Almost surely, 213143231302256 is an apocalyptic number.

13143231302256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13143231302256 is an abundant number, since it is smaller than the sum of its proper divisors (28012341477264).

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

13143231302256 is a wasteful number, since it uses less digits than its factorization.

13143231302256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2765831531 (or 2765831519 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 13143231302256 its reverse (65220313234131), we get a palindrome (78363544536387).

The spelling of 13143231302256 in words is "thirteen trillion, one hundred forty-three billion, two hundred thirty-one million, three hundred two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4752 2765831503 5531663006 8297494509 11063326012 16594989018 22126652024 24892483527 30424146533 33189978036 44253304048 49784967054 60848293066 66379956072 74677450581 91272439599 99569934108 121696586132 132759912144 149354901162 182544879198 199139868216 243393172264 273817318797 298709802324 365089758396 398279736432 486786344528 547634637594 597419604648 730179516792 821451956391 1095269275188 1194839209296 1460359033584 1642903912782 2190538550376 3285807825564 4381077100752 6571615651128 13143231302256