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135405623142024 = 233103137339894929
BaseRepresentation
bin11110110010011010010100…
…000100010110011010001000
3122202102122120200121222220020
4132302122110010112122020
5120221441204011021044
61155552252354100440
740343506366244664
oct3662322404263210
9582378520558806
10135405623142024
113a1652252789a4
121322a62527a720
135a72906c55551
14256194a8578a4
15109c3271a9a19
hex7b2694116688

135405623142024 has 64 divisors (see below), whose sum is σ = 342049555036800. Its totient is φ = 44664446432256.

The previous prime is 135405623142017. The next prime is 135405623142047. The reversal of 135405623142024 is 420241326504531.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16553409 + ... + 23341520.

It is an arithmetic number, because the mean of its divisors is an integer number (5344524297450).

Almost surely, 2135405623142024 is an apocalyptic number.

It is an amenable number.

135405623142024 is an abundant number, since it is smaller than the sum of its proper divisors (206643931894776).

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

135405623142024 is a wasteful number, since it uses less digits than its factorization.

135405623142024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39896414 (or 39896410 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

Adding to 135405623142024 its reverse (420241326504531), we get a palindrome (555646949646555).

The spelling of 135405623142024 in words is "one hundred thirty-five trillion, four hundred five billion, six hundred twenty-three million, one hundred forty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 103 206 309 412 618 824 1236 1373 2472 2746 4119 5492 8238 10984 16476 32952 141419 282838 424257 565676 848514 1131352 1697028 3394056 39894929 79789858 119684787 159579716 239369574 319159432 478739148 957478296 4109177687 8218355374 12327533061 16436710748 24655066122 32873421496 49310132244 54775737517 98620264488 109551475034 164327212551 219102950068 328654425102 438205900136 657308850204 1314617700408 5641900964251 11283801928502 16925702892753 22567603857004 33851405785506 45135207714008 67702811571012 135405623142024