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135313450140 = 223511205020379
BaseRepresentation
bin111111000000101001…
…1110110010010011100
3110221021020010110221110
41332001103312102130
54204110220401030
6142055004502020
712530123230431
oct1760123662234
9427236113843
10135313450140
1152427a07940
122228424a910
13c9b596027b
146799041b88
1537be5841b0
hex1f814f649c

135313450140 has 48 divisors (see below), whose sum is σ = 413321086080. Its totient is φ = 32803260480.

The previous prime is 135313450123. The next prime is 135313450147. The reversal of 135313450140 is 41054313531.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 135313450098 and 135313450107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135313450147) 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 15 ways as a sum of consecutive naturals, for example, 102509530 + ... + 102510849.

It is an arithmetic number, because the mean of its divisors is an integer number (8610855960).

Almost surely, 2135313450140 is an apocalyptic number.

135313450140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135313450140 is an abundant number, since it is smaller than the sum of its proper divisors (278007635940).

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

135313450140 is a wasteful number, since it uses less digits than its factorization.

135313450140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205020402 (or 205020400 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 135313450140 its reverse (41054313531), we get a palindrome (176367763671).

The spelling of 135313450140 in words is "one hundred thirty-five billion, three hundred thirteen million, four hundred fifty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 205020379 410040758 615061137 820081516 1025101895 1230122274 2050203790 2255224169 2460244548 3075305685 4100407580 4510448338 6150611370 6765672507 9020896676 11276120845 12301222740 13531345014 22552241690 27062690028 33828362535 45104483380 67656725070 135313450140