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135423561024 = 26321269718517
BaseRepresentation
bin111111000011111011…
…1111000110101000000
3110221112220022200200100
41332013313320311000
54204321412423044
6142113540522400
712532631163423
oct1760767706500
9427486280610
10135423561024
1152484084874
12222b50b0400
13ca02703c3b
1467a99059ba
1537c9084869
hex1f87df8d40

135423561024 has 84 divisors (see below), whose sum is σ = 388218722164. Its totient is φ = 45135194112.

The previous prime is 135423561011. The next prime is 135423561067. The reversal of 135423561024 is 420165324531.

135423561024 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 2 + 35 + 610 + 2 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 32659718400 + 102763842624 = 180720^2 + 320568^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 135423561024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7304214 + ... + 7322730.

Almost surely, 2135423561024 is an apocalyptic number.

It is an amenable number.

135423561024 is an abundant number, since it is smaller than the sum of its proper divisors (252795161140).

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

135423561024 is a wasteful number, since it uses less digits than its factorization.

135423561024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31232 (or 31219 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 135423561024 its reverse (420165324531), we get a palindrome (555588885555).

The spelling of 135423561024 in words is "one hundred thirty-five billion, four hundred twenty-three million, five hundred sixty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 12697 18517 25394 37034 38091 50788 55551 74068 76182 101576 111102 114273 148136 152364 166653 203152 222204 228546 296272 304728 333306 406304 444408 457092 592544 609456 666612 812608 888816 914184 1185088 1218912 1333224 1777632 1828368 2437824 2666448 3555264 3656736 5332896 7313472 10665792 235110349 470220698 705331047 940441396 1410662094 1880882792 2115993141 2821324188 3761765584 4231986282 5642648376 7523531168 8463972564 11285296752 15047062336 16927945128 22570593504 33855890256 45141187008 67711780512 135423561024