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145254031335 = 3257479811147
BaseRepresentation
bin1000011101000111010…
…0001001111111100111
3111212221000002022210100
42013101310021333213
54334440013000320
6150421225555143
713331346615630
oct2072164117747
9455830068710
10145254031335
11566691286a6
1224199345ab3
131090b24518a
14705d338887
153ba2106790
hex21d1d09fe7

145254031335 has 48 divisors (see below), whose sum is σ = 293863504896. Its totient is φ = 64989031104.

The previous prime is 145254031333. The next prime is 145254031337. The reversal of 145254031335 is 533130452541.

145254031335 is a `hidden beast` number, since 1 + 4 + 52 + 540 + 31 + 3 + 35 = 666.

It is an interprime number because it is at equal distance from previous prime (145254031333) and next prime (145254031337).

It is not a de Polignac number, because 145254031335 - 21 = 145254031333 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 145254031335.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145254031331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4890769 + ... + 4920378.

It is an arithmetic number, because the mean of its divisors is an integer number (6122156352).

Almost surely, 2145254031335 is an apocalyptic number.

145254031335 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

145254031335 is an abundant number, since it is smaller than the sum of its proper divisors (148609473561).

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

145254031335 is a wasteful number, since it uses less digits than its factorization.

145254031335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9811212 (or 9811209 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 145254031335 its reverse (533130452541), we get a palindrome (678384483876).

The spelling of 145254031335 in words is "one hundred forty-five billion, two hundred fifty-four million, thirty-one thousand, three hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 35 45 47 63 105 141 235 315 329 423 705 987 1645 2115 2961 4935 14805 9811147 29433441 49055735 68678029 88300323 147167205 206034087 343390145 441501615 461123909 618102261 1030170435 1383371727 2305619545 3090511305 3227867363 4150115181 6916858635 9683602089 16139336815 20750575905 29050806267 48418010445 145254031335