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13321304421040 = 2457116732276857
BaseRepresentation
bin1100000111011001101110…
…0111100011001010110000
31202011111121121110021112201
43001312123213203022300
53221224012412433130
644155420041232544
72543301225203530
oct301663347431260
952144547407481
1013321304421040
114276596072930
1215b1911a92754
137582694b7005
14340a7c7a14c0
151817b7376bca
hexc1d9b9e32b0

13321304421040 has 160 divisors (see below), whose sum is σ = 39190819198464. Its totient is φ = 4090123192320.

The previous prime is 13321304421017. The next prime is 13321304421049. The reversal of 13321304421040 is 4012440312331.

It is a happy number.

13321304421040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (13321304421049) 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, 15725709 + ... + 16551148.

Almost surely, 213321304421040 is an apocalyptic number.

13321304421040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13321304421040 is an abundant number, since it is smaller than the sum of its proper divisors (25869514777424).

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

13321304421040 is a wasteful number, since it uses less digits than its factorization.

13321304421040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32276955 (or 32276949 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 13321304421040 its reverse (4012440312331), we get a palindrome (17333744733371).

The spelling of 13321304421040 in words is "thirteen trillion, three hundred twenty-one billion, three hundred four million, four hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 67 70 77 80 88 110 112 134 140 154 176 220 268 280 308 335 385 440 469 536 560 616 670 737 770 880 938 1072 1232 1340 1474 1540 1876 2345 2680 2948 3080 3685 3752 4690 5159 5360 5896 6160 7370 7504 9380 10318 11792 14740 18760 20636 25795 29480 37520 41272 51590 58960 82544 103180 206360 412720 32276857 64553714 129107428 161384285 225937999 258214856 322768570 355045427 451875998 516429712 645537140 710090854 903751996 1129689995 1291074280 1420181708 1775227135 1807503992 2162549419 2259379990 2485317989 2582148560 2840363416 3550454270 3615007984 4325098838 4518759980 4970635978 5680726832 7100908540 8650197676 9037519960 9941271956 10812747095 12426589945 14201817080 15137845933 17300395352 18075039920 19882543912 21625494190 23788043609 24853179890 28403634160 30275691866 34600790704 39765087824 43250988380 47576087218 49706359780 60551383732 75689229665 86501976760 95152174436 99412719560 118940218045 121102767464 151378459330 166516305263 173003953520 190304348872 198825439120 237880436090 242205534928 302756918660 333032610526 380608697744 475760872180 605513837320 666065221052 832581526315 951521744360 1211027674640 1332130442104 1665163052630 1903043488720 2664260884208 3330326105260 6660652210520 13321304421040