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13462444426431 = 37111337748716183
BaseRepresentation
bin1100001111100111100000…
…1101111100010010111111
31202122222220220021102200210
43003321320031330102333
53231032041233121211
644344321145323503
72556425631355650
oct303717015742277
952588826242623
1013462444426431
114320432a05990
121615141496593
137686702c5ac0
1434782b583527
151852c81d29a6
hexc3e7837c4bf

13462444426431 has 128 divisors (see below), whose sum is σ = 24756803076096. Its totient is φ = 6279817351680.

The previous prime is 13462444426411. The next prime is 13462444426447.

13462444426431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13462444426431 - 213 = 13462444418239 is a prime.

It is a super-2 number, since 2×134624444264312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13462444426411) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 831879966 + ... + 831896148.

It is an arithmetic number, because the mean of its divisors is an integer number (193412524032).

Almost surely, 213462444426431 is an apocalyptic number.

13462444426431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13462444426431 is a deficient number, since it is larger than the sum of its proper divisors (11294358649665).

13462444426431 is a wasteful number, since it uses less digits than its factorization.

13462444426431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23741.

The product of its digits is 5308416, while the sum is 48.

The spelling of 13462444426431 in words is "thirteen trillion, four hundred sixty-two billion, four hundred forty-four million, four hundred twenty-six thousand, four hundred thirty-one".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 111 143 231 259 273 407 429 481 777 1001 1221 1443 2849 3003 3367 5291 7487 8547 10101 15873 16183 22461 37037 48549 52409 82357 97331 111111 113281 157227 178013 210379 247071 277019 291993 339843 534039 576499 598771 631137 681317 831057 1070641 1246091 1472653 1729497 1796313 1939133 2043951 2314169 3047209 3211923 3601247 3738273 4191397 4417959 5817399 6586481 6942507 7494487 7784023 9141627 10803741 12574191 16199183 19759443 21330463 22483461 23352069 25208729 39613717 46105367 48597549 54488161 63991389 75626187 85624253 118841151 121162121 138316101 163464483 256872759 277296019 363486363 599369771 831888057 848134847 1332783331 1575107573 1798109313 2544404541 3998349993 4482998477 4725322719 9329483317 11025753011 13448995431 17326183303 27988449951 31380989339 33077259033 49312983247 51978549909 58278980201 94142968017 121283283121 147938949741 174836940603 345190882729 363849849363 407952861407 641068782211 1035572648187 1223858584221 1923206346633 4487481475477 13462444426431