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134424011323144 = 231937127188203553
BaseRepresentation
bin11110100100001000000111…
…011100011011011100001000
3122121221210212110210221211101
4132210020013130123130020
5120104400333344320034
61153521312134111144
740212546212406304
oct3644100734333410
9577853773727741
10134424011323144
11399169a2a68704
12130b03354ab4b4
135a0118c45116a
14252a22a606d04
151081a24e28514
hex7a420771b708

134424011323144 has 64 divisors (see below), whose sum is σ = 274626625996800. Its totient is φ = 61465774454784.

The previous prime is 134424011323139. The next prime is 134424011323177. The reversal of 134424011323144 is 441323110424431.

It is a Harshad number since it is a multiple of its sum of digits (37).

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, 93387529 + ... + 94816024.

It is an arithmetic number, because the mean of its divisors is an integer number (4291041031200).

Almost surely, 2134424011323144 is an apocalyptic number.

It is an amenable number.

134424011323144 is an abundant number, since it is smaller than the sum of its proper divisors (140202614673656).

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

134424011323144 is a wasteful number, since it uses less digits than its factorization.

134424011323144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188203742 (or 188203738 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 37.

Adding to 134424011323144 its reverse (441323110424431), we get a palindrome (575747121747575).

The spelling of 134424011323144 in words is "one hundred thirty-four trillion, four hundred twenty-four billion, eleven million, three hundred twenty-three thousand, one hundred forty-four".

Divisors: 1 2 4 8 19 37 38 74 76 127 148 152 254 296 508 703 1016 1406 2413 2812 4699 4826 5624 9398 9652 18796 19304 37592 89281 178562 357124 714248 188203553 376407106 752814212 1505628424 3575867507 6963531461 7151735014 13927062922 14303470028 23901851231 27854125844 28606940056 47803702462 55708251688 95607404924 132307097759 191214809848 264614195518 454135173389 529228391036 884368495547 908270346778 1058456782072 1768736991094 1816540693556 3537473982188 3633081387112 7074947964376 16803001415393 33606002830786 67212005661572 134424011323144