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134326134114336 = 25321489731309001
BaseRepresentation
bin11110100010101100111101…
…100000100000100000100000
3122121121110020020120120122200
4132202230331200200200200
5120101244410313124321
61153404324001533200
740202512553020353
oct3642547540404040
9577543206516580
10134326134114336
1139889436917a9a
121309537a644200
1359c4b9167c2a8
1425255c348629a
15107e1e7258d26
hex7a2b3d820820

134326134114336 has 72 divisors (see below), whose sum is σ = 382015598160924. Its totient is φ = 44772370944000.

The previous prime is 134326134114269. The next prime is 134326134114391. The reversal of 134326134114336 is 633411431623431.

134326134114336 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 261 + 3 + 41 + 14 + 336 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 125811666896400 + 8514467217936 = 11216580^2 + 2917956^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1343261341143362 (a number of 29 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 134326134114291 and 134326134114300.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11364165 + ... + 19944836.

Almost surely, 2134326134114336 is an apocalyptic number.

134326134114336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

134326134114336 is an abundant number, since it is smaller than the sum of its proper divisors (247689464046588).

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

134326134114336 is a wasteful number, since it uses less digits than its factorization.

134326134114336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31323914 (or 31323903 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 45.

Adding to 134326134114336 its reverse (633411431623431), we get a palindrome (767737565737767).

The spelling of 134326134114336 in words is "one hundred thirty-four trillion, three hundred twenty-six billion, one hundred thirty-four million, one hundred fourteen thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 14897 29794 44691 59588 89382 119176 134073 178764 238352 268146 357528 476704 536292 715056 1072584 1430112 2145168 4290336 31309001 62618002 93927003 125236004 187854006 250472008 281781009 375708012 500944016 563562018 751416024 1001888032 1127124036 1502832048 2254248072 3005664096 4508496144 9016992288 466410187897 932820375794 1399230563691 1865640751588 2798461127382 3731281503176 4197691691073 5596922254764 7462563006352 8395383382146 11193844509528 14925126012704 16790766764292 22387689019056 33581533528584 44775378038112 67163067057168 134326134114336