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12141723729798 = 23313197691183759
BaseRepresentation
bin1011000010101111011100…
…1000010011111110000110
31120222201220121021112022000
42300223313020103332012
53042412222233323143
641453455245250130
72362132142566065
oct260536710237606
946881817245260
1012141723729798
113961304569723
121441192863946
136a0c62419130
142dd93c10c1dc
15160c7a131bd3
hexb0af7213f86

12141723729798 has 128 divisors (see below), whose sum is σ = 30626238720000. Its totient is φ = 3534682447872.

The previous prime is 12141723729673. The next prime is 12141723729823. The reversal of 12141723729798 is 89792732714121.

12141723729798 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 172 + 372 + 9 + 7 + 98 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9665043 + ... + 10848801.

It is an arithmetic number, because the mean of its divisors is an integer number (239267490000).

Almost surely, 212141723729798 is an apocalyptic number.

12141723729798 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12141723729798, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15313119360000).

12141723729798 is an abundant number, since it is smaller than the sum of its proper divisors (18484514990202).

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

12141723729798 is a wasteful number, since it uses less digits than its factorization.

12141723729798 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184571 (or 1184565 counting only the distinct ones).

The product of its digits is 21337344, while the sum is 63.

The spelling of 12141723729798 in words is "twelve trillion, one hundred forty-one billion, seven hundred twenty-three million, seven hundred twenty-nine thousand, seven hundred ninety-eight".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 78 114 117 171 234 247 342 351 494 513 702 741 769 1026 1482 1538 2223 2307 4446 4614 6669 6921 9997 13338 13842 14611 19994 20763 29222 29991 41526 43833 59982 87666 89973 131499 179946 189943 262998 269919 379886 394497 539838 569829 788994 1139658 1183759 1709487 2367518 3418974 3551277 5128461 7102554 10256922 10653831 15388867 21307662 22491421 30777734 31961493 44982842 46166601 63922986 67474263 92333202 134948526 138499803 202422789 276999606 292388473 404845578 415499409 584776946 607268367 830998818 877165419 910310671 1214536734 1754330838 1820621342 2631496257 2730932013 5262992514 5461864026 7894488771 8192796039 11834038723 15788977542 16385592078 17295902749 23668077446 24578388117 34591805498 35502116169 49156776234 51887708247 71004232338 103775416494 106506348507 155663124741 213012697014 224846735737 311326249482 319519045521 449693471474 466989374223 639038091042 674540207211 933978748446 1349080414422 2023620621633 4047241243266 6070861864899 12141723729798