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135300580440 = 23351736517369
BaseRepresentation
bin111111000000010001…
…0110000010001011000
3110221020022220122000220
41332000202300101120
54204043422033230
6142053425000040
712526605646434
oct1760042602130
9427208818026
10135300580440
1152420717723
122227ba83020
13c9b30a546c
1467974519c4
1537bd390d10
hex1f808b0458

135300580440 has 64 divisors (see below), whose sum is σ = 408248056800. Its totient is φ = 35871593472.

The previous prime is 135300580433. The next prime is 135300580447. The reversal of 135300580440 is 44085003531.

It is an interprime number because it is at equal distance from previous prime (135300580433) and next prime (135300580447).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135300580447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3237925 + ... + 3279444.

Almost surely, 2135300580440 is an apocalyptic number.

135300580440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135300580440 is an abundant number, since it is smaller than the sum of its proper divisors (272947476360).

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

135300580440 is a wasteful number, since it uses less digits than its factorization.

135300580440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6517556 (or 6517552 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

Adding to 135300580440 its reverse (44085003531), we get a palindrome (179385583971).

The spelling of 135300580440 in words is "one hundred thirty-five billion, three hundred million, five hundred eighty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 173 346 519 692 865 1038 1384 1730 2076 2595 3460 4152 5190 6920 10380 20760 6517369 13034738 19552107 26069476 32586845 39104214 52138952 65173690 78208428 97760535 130347380 156416856 195521070 260694760 391042140 782084280 1127504837 2255009674 3382514511 4510019348 5637524185 6765029022 9020038696 11275048370 13530058044 16912572555 22550096740 27060116088 33825145110 45100193480 67650290220 135300580440