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13420215153441 = 341923449859983
BaseRepresentation
bin1100001101001010001100…
…1010000011001100100001
31202111221220212110002120000
43003102203022003030201
53224334100034402231
644313054533410213
72553402304435665
oct303224312031441
952457825402500
1013420215153441
114304532654078
121608b16a99969
137646a0432ac5
14345782cb88a5
15184155b4a6e6
hexc34a3283321

13420215153441 has 160 divisors (see below), whose sum is σ = 22117328640000. Its totient is φ = 8071713441792.

The previous prime is 13420215153431. The next prime is 13420215153511. The reversal of 13420215153441 is 14435151202431.

13420215153441 is a `hidden beast` number, since 1 + 3 + 4 + 202 + 1 + 5 + 1 + 5 + 3 + 441 = 666.

It is not a de Polignac number, because 13420215153441 - 211 = 13420215151393 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13420215153396 and 13420215153405.

It is not an unprimeable number, because it can be changed into a prime (13420215153431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 13652303836 + ... + 13652304818.

It is an arithmetic number, because the mean of its divisors is an integer number (138233304000).

Almost surely, 213420215153441 is an apocalyptic number.

It is an amenable number.

13420215153441 is a deficient number, since it is larger than the sum of its proper divisors (8697113486559).

13420215153441 is a wasteful number, since it uses less digits than its factorization.

13420215153441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2345 (or 2336 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 13420215153441 its reverse (14435151202431), we get a palindrome (27855366355872).

The spelling of 13420215153441 in words is "thirteen trillion, four hundred twenty billion, two hundred fifteen million, one hundred fifty-three thousand, four hundred forty-one".

Divisors: 1 3 9 19 23 27 57 69 81 171 207 437 449 513 621 859 983 1311 1347 1539 1863 2577 2949 3933 4041 7731 8531 8847 10327 11799 12123 16321 18677 19757 22609 23193 25593 26541 30981 35397 36369 48963 56031 59271 67827 69579 76779 79623 92943 146889 168093 177813 196213 203481 230337 278829 375383 385691 429571 440667 441367 504279 533439 588639 610443 691011 836487 844397 1126149 1157073 1288713 1322001 1324101 1512837 1600317 1765917 1831329 2533191 3378447 3471219 3866139 3972303 5297751 7328129 7599573 8385973 8870893 10135341 10151441 10413657 11598417 11916909 15893253 16043543 19421131 21984387 22798719 25157919 26612679 30406023 30454323 31240971 34795251 35750727 48130629 58263393 65953161 68396157 75473757 79838037 91362969 144391887 168546967 174790179 192877379 197859483 226421271 239514111 274088907 369001489 379134253 433175661 505640901 524370537 578632137 593578449 679263813 718542333 822266721 1107004467 1137402759 1299526983 1516922703 1573111611 1735896411 3321013401 3412208277 4550768109 5207689233 7203550807 8720087819 9963040203 10236624831 13652304327 15623067699 21610652421 26160263457 29889120609 30709874493 64831957263 78480790371 165681668561 194495871789 235442371113 497045005683 583487615367 706327113339 1491135017049 4473405051147 13420215153441