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144135520400355 = 35113723609421851
BaseRepresentation
bin100000110001011100101010…
…011111100011001111100011
3200220100012222020110212210120
4200301130222133203033203
5122343004021210302410
61230314535521331323
742234306363505221
oct4061345237431743
9626305866425716
10144135520400355
1141a2059272a490
12141ba51a196b43
136256bc8cb8033
1427842a6d3db11
15119e467ca9570
hex83172a7e33e3

144135520400355 has 32 divisors (see below), whose sum is σ = 258381512748288. Its totient is φ = 67995134928000.

The previous prime is 144135520400353. The next prime is 144135520400359. The reversal of 144135520400355 is 553004025531441.

It is not a de Polignac number, because 144135520400355 - 21 = 144135520400353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (144135520400353) 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, 11804704821 + ... + 11804717030.

It is an arithmetic number, because the mean of its divisors is an integer number (8074422273384).

Almost surely, 2144135520400355 is an apocalyptic number.

144135520400355 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

144135520400355 is a deficient number, since it is larger than the sum of its proper divisors (114245992347933).

144135520400355 is a wasteful number, since it uses less digits than its factorization.

144135520400355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23609421907.

The product of its (nonzero) digits is 720000, while the sum is 42.

Adding to 144135520400355 its reverse (553004025531441), we get a palindrome (697139545931796).

The spelling of 144135520400355 in words is "one hundred forty-four trillion, one hundred thirty-five billion, five hundred twenty million, four hundred thousand, three hundred fifty-five".

Divisors: 1 3 5 11 15 33 37 55 111 165 185 407 555 1221 2035 6105 23609421851 70828265553 118047109255 259703640361 354141327765 779110921083 873548608487 1298518201805 2620645825461 3895554605415 4367743042435 9609034693357 13103229127305 28827104080071 48045173466785 144135520400355