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14003011040220 = 223254317891011277
BaseRepresentation
bin1100101111000101010001…
…1111111011001111011100
31211120200012220201122102200
43023301110133323033130
53313411131311241340
645440521112051500
72643453444644346
oct313612437731734
954520186648380
1014003011040220
114509709746784
1216a1a64093b90
137a762aa02657
14365a6c30a296
151943b5423330
hexcbc547fb3dc

14003011040220 has 144 divisors (see below), whose sum is σ = 43487947382880. Its totient is φ = 3645253559808.

The previous prime is 14003011040203. The next prime is 14003011040231. The reversal of 14003011040220 is 2204011030041.

14003011040220 is a `hidden beast` number, since 1 + 40 + 0 + 301 + 104 + 0 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14003011040193 and 14003011040202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13341222 + ... + 14352498.

Almost surely, 214003011040220 is an apocalyptic number.

14003011040220 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 14003011040220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21743973691440).

14003011040220 is an abundant number, since it is smaller than the sum of its proper divisors (29484936342660).

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

14003011040220 is a wasteful number, since it uses less digits than its factorization.

14003011040220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013124 (or 1013119 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 14003011040220 its reverse (2204011030041), we get a palindrome (16207022070261).

The spelling of 14003011040220 in words is "fourteen trillion, three billion, eleven million, forty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 258 387 430 516 645 774 860 1290 1548 1789 1935 2580 3578 3870 5367 7156 7740 8945 10734 16101 17890 21468 26835 32202 35780 53670 64404 76927 80505 107340 153854 161010 230781 307708 322020 384635 461562 692343 769270 923124 1011277 1153905 1384686 1538540 2022554 2307810 2769372 3033831 3461715 4045108 4615620 5056385 6067662 6923430 9101493 10112770 12135324 13846860 15169155 18202986 20225540 30338310 36405972 43484911 45507465 60676620 86969822 91014930 130454733 173939644 182029860 217424555 260909466 391364199 434849110 521818932 652273665 782728398 869698220 1304547330 1565456796 1809174553 1956820995 2609094660 3618349106 3913641990 5427523659 7236698212 7827283980 9045872765 10855047318 16282570977 18091745530 21710094636 27137618295 32565141954 36183491060 54275236590 65130283908 77794505779 81412854885 108550473180 155589011558 162825709770 233383517337 311178023116 325651419540 388972528895 466767034674 700150552011 777945057790 933534069348 1166917586685 1400301104022 1555890115580 2333835173370 2800602208044 3500752760055 4667670346740 7001505520110 14003011040220