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13531004430024 = 23319295917342639
BaseRepresentation
bin1100010011100110111010…
…1101100110011011001000
31202220112212222000110212010
43010321232231212123020
53233142444113230044
644440020240215520
72564403621651234
oct304715655463310
952815788013763
1013531004430024
114347515280384
12162649600a5a0
13771c782c9973
1434ac92c355c4
15186e8c19cbb9
hexc4e6eb666c8

13531004430024 has 128 divisors (see below), whose sum is σ = 37460102400000. Its totient is φ = 4055679952128.

The previous prime is 13531004429869. The next prime is 13531004430029. The reversal of 13531004430024 is 42003440013531.

It is a super-2 number, since 2×135310044300242 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13531004429973 and 13531004430000.

It is not an unprimeable number, because it can be changed into a prime (13531004430029) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 7891104 + ... + 9451535.

It is an arithmetic number, because the mean of its divisors is an integer number (292657050000).

Almost surely, 213531004430024 is an apocalyptic number.

It is an amenable number.

13531004430024 is an abundant number, since it is smaller than the sum of its proper divisors (23929097969976).

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

13531004430024 is a wasteful number, since it uses less digits than its factorization.

13531004430024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17342755 (or 17342751 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 13531004430024 its reverse (42003440013531), we get a palindrome (55534444443555).

The spelling of 13531004430024 in words is "thirteen trillion, five hundred thirty-one billion, four million, four hundred thirty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 19 24 29 38 57 58 59 76 87 114 116 118 152 174 177 228 232 236 348 354 456 472 551 696 708 1102 1121 1416 1653 1711 2204 2242 3306 3363 3422 4408 4484 5133 6612 6726 6844 8968 10266 13224 13452 13688 20532 26904 32509 41064 65018 97527 130036 195054 260072 390108 780216 17342639 34685278 52027917 69370556 104055834 138741112 208111668 329510141 416223336 502936531 659020282 988530423 1005873062 1023215701 1318040564 1508809593 1977060846 2011746124 2046431402 2636081128 3017619186 3069647103 3954121692 4023492248 4092862804 6035238372 6139294206 7908243384 8185725608 9555794089 12070476744 12278588412 19111588178 19441098319 24557176824 28667382267 29673255329 38223176356 38882196638 57334764534 58323294957 59346510658 76446352712 77764393276 89019765987 114669529068 116646589914 118693021316 155528786552 178039531974 229339058136 233293179828 237386042632 356079063948 466586359656 563791851251 712158127896 1127583702502 1691375553753 2255167405004 3382751107506 4510334810008 6765502215012 13531004430024