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135144432244503 = 33113525791290581
BaseRepresentation
bin11110101110100111000011…
…111000001001011100010111
3122201111200101211212122101000
4132232213003320021130113
5120203201244123311003
61155232254534434343
740315602005245563
oct3656470370113427
9581450354778330
10135144432244503
113a074482880810
12131a7a90b029b3
135a540b0550c06
14255304da826a3
15109563bb941a3
hex7ae9c3e09717

135144432244503 has 32 divisors (see below), whose sum is σ = 218416032748800. Its totient is φ = 81905420743200.

The previous prime is 135144432244429. The next prime is 135144432244513. The reversal of 135144432244503 is 305442234441531.

It is a happy number.

135144432244503 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 44 + 43 + 22 + 44 + 503 = 666.

It is not a de Polignac number, because 135144432244503 - 29 = 135144432243991 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135144432244513) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104070673 + ... + 105361253.

It is an arithmetic number, because the mean of its divisors is an integer number (6825501023400).

Almost surely, 2135144432244503 is an apocalyptic number.

135144432244503 is a deficient number, since it is larger than the sum of its proper divisors (83271600504297).

135144432244503 is a wasteful number, since it uses less digits than its factorization.

135144432244503 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1643180 (or 1643174 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 45.

The spelling of 135144432244503 in words is "one hundred thirty-five trillion, one hundred forty-four billion, four hundred thirty-two million, two hundred forty-four thousand, five hundred three".

Divisors: 1 3 9 11 27 33 99 297 352579 1057737 1290581 3173211 3871743 3878369 9519633 11615229 11635107 14196391 34845687 34905321 42589173 104715963 127767519 383302557 455031758399 1365095275197 4095285825591 5005349342389 12285857476773 15016048027167 45048144081501 135144432244503