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135106254144340 = 22543271561200071
BaseRepresentation
bin11110101110000011100000…
…010010010000001101010100
3122201101000212011001012121021
4132232003200102100031110
5120202040102030104330
61155202542321330524
740313050632613243
oct3656034022201524
9581330764035537
10135106254144340
113a05a271285016
12131a05b7196a44
135a50607a887bb
14255126b44c95a
1510946550de67a
hex7ae0e0490354

135106254144340 has 24 divisors (see below), whose sum is σ = 283788704287872. Its totient is φ = 54030012022560.

The previous prime is 135106254144317. The next prime is 135106254144343. The reversal of 135106254144340 is 43441452601531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135106254144343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 780513496 + ... + 780686575.

It is an arithmetic number, because the mean of its divisors is an integer number (11824529345328).

Almost surely, 2135106254144340 is an apocalyptic number.

135106254144340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135106254144340 is an abundant number, since it is smaller than the sum of its proper divisors (148682450143532).

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

135106254144340 is a wasteful number, since it uses less digits than its factorization.

135106254144340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561204407 (or 1561204405 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 43.

The spelling of 135106254144340 in words is "one hundred thirty-five trillion, one hundred six billion, two hundred fifty-four million, one hundred forty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 4327 8654 17308 21635 43270 86540 1561200071 3122400142 6244800284 7806000355 15612000710 31224001420 6755312707217 13510625414434 27021250828868 33776563536085 67553127072170 135106254144340