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24354111145342 = 21141271110989839
BaseRepresentation
bin1011000100110011000100…
…01001001100010101111110
310012020020012212202020011011
411202121202021030111332
511143004204423122332
6123444042454545434
75062345402061536
oct542314211142576
9105206185666134
1024354111145342
11783a57a916330
122893ba666827a
131078776615c64
14602a610364c6
152c378dc71e47
hex16266224c57e

24354111145342 has 64 divisors (see below), whose sum is σ = 41012233113600. Its totient is φ = 10750374432000.

The previous prime is 24354111145327. The next prime is 24354111145393.

24354111145342 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×243541111453423 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 24354111145295 and 24354111145304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 271041259 + ... + 271131097.

It is an arithmetic number, because the mean of its divisors is an integer number (640816142400).

Almost surely, 224354111145342 is an apocalyptic number.

24354111145342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

24354111145342 is a deficient number, since it is larger than the sum of its proper divisors (16658121968258).

24354111145342 is a wasteful number, since it uses less digits than its factorization.

24354111145342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91273.

The product of its digits is 230400, while the sum is 40.

The spelling of 24354111145342 in words is "twenty-four trillion, three hundred fifty-four billion, one hundred eleven million, one hundred forty-five thousand, three hundred forty-two".

Divisors: 1 2 11 22 41 82 271 451 542 902 1109 2218 2981 5962 11111 12199 22222 24398 45469 89839 90938 122221 179678 244442 300539 500159 601078 988229 1000318 1976458 3305929 3683399 6611858 7366798 12322099 24346369 24644198 40517389 48692738 81034778 99631451 135543089 199262902 267810059 271086178 535620118 998201129 1095945961 1996402258 2191891922 4084889491 8169778982 10980212419 21960424838 27000123221 44933784401 54000246442 89867568802 297001355431 594002710862 1107005052061 2214010104122 12177055572671 24354111145342