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16434247431342 = 2313537966897523
BaseRepresentation
bin1110111100100110010101…
…1110101111010010101110
32011012002122221220221112110
43233021211132233102232
54123224314320300332
654541442233344450
73314222654205216
oct357114536572256
964162587827473
1016434247431342
1152667a8264934
121a15098268126
13922987163610
1440b5c968b246
151d775c24b4cc
hexef2657af4ae

16434247431342 has 128 divisors (see below), whose sum is σ = 36531536025600. Its totient is φ = 4897097846784.

The previous prime is 16434247431341. The next prime is 16434247431367. The reversal of 16434247431342 is 24313474243461.

It is a super-2 number, since 2×164342474313422 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 16434247431291 and 16434247431300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16434247431341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2184529993 + ... + 2184537515.

It is an arithmetic number, because the mean of its divisors is an integer number (285402625200).

Almost surely, 216434247431342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16434247431342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18265768012800).

16434247431342 is an abundant number, since it is smaller than the sum of its proper divisors (20097288594258).

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

16434247431342 is a wasteful number, since it uses less digits than its factorization.

16434247431342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14362.

The product of its digits is 4644864, while the sum is 48.

The spelling of 16434247431342 in words is "sixteen trillion, four hundred thirty-four billion, two hundred forty-seven million, four hundred thirty-one thousand, three hundred forty-two".

Divisors: 1 2 3 6 13 26 39 53 78 79 106 158 159 237 318 474 689 1027 1378 2054 2067 3081 4134 4187 6162 6689 7523 8374 12561 13378 15046 20067 22569 25122 40134 45138 54431 86957 97799 108862 163293 173914 195598 260871 293397 326586 354517 398719 521742 528431 586794 594317 709034 797438 1056862 1063551 1188634 1196157 1585293 1782951 2127102 2392314 3170586 3565902 4608721 5183347 6869603 7726121 9217442 10366694 13739206 13826163 15452242 15550041 20608809 23178363 27652326 28006843 31100082 31498801 41217618 46356726 50321347 56013686 62997602 84020529 94496403 100642694 150964041 168041058 188992806 301928082 364088959 409484413 654177511 728177918 818968826 1092266877 1228453239 1308355022 1962532533 2184533754 2456906478 2667031391 3925065066 3975386413 5334062782 7950772826 8001094173 11926159239 16002188346 23852318478 34671408083 51680023369 69342816166 103360046738 104014224249 155040070107 208028448498 210695479889 310080140214 421390959778 632086439667 1264172879334 2739041238557 5478082477114 8217123715671 16434247431342