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134411006444 = 2211213101211507
BaseRepresentation
bin111110100101110000…
…1010011000111101100
3110211221100000120220212
41331023201103013230
54200233204201234
6141425250201552
712465554463311
oct1751341230754
9424840016825
10134411006444
1152004566600
1222071b832b8
13c8a09bc510
14671124ad08
15376a2235ce
hex1f4b8531ec

134411006444 has 72 divisors (see below), whose sum is σ = 281193117744. Its totient is φ = 55837584000.

The previous prime is 134411006419. The next prime is 134411006449. The reversal of 134411006444 is 444600114431.

134411006444 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 134411006444.

It is not an unprimeable number, because it can be changed into a prime (134411006449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 529739 + ... + 741245.

Almost surely, 2134411006444 is an apocalyptic number.

It is an amenable number.

134411006444 is an abundant number, since it is smaller than the sum of its proper divisors (146782111300).

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

134411006444 is a wasteful number, since it uses less digits than its factorization.

134411006444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211647 (or 211634 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The spelling of 134411006444 in words is "one hundred thirty-four billion, four hundred eleven million, six thousand, four hundred forty-four".

Divisors: 1 2 4 11 13 22 26 44 52 101 121 143 202 242 286 404 484 572 1111 1313 1573 2222 2626 3146 4444 5252 6292 12221 14443 24442 28886 48884 57772 158873 211507 317746 423014 635492 846028 2326577 2749591 4653154 5499182 9306308 10998364 21362207 25592347 30245501 42724414 51184694 60491002 85448828 102369388 120982004 234984277 277708691 332700511 469968554 555417382 665401022 939937108 1110834764 1330802044 2584827047 3054795601 5169654094 6109591202 10339308188 12219182404 33602751611 67205503222 134411006444