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1831361726940 = 223531712195319
BaseRepresentation
bin11010101001100101101…
…010100100100111011100
320111002001202011222000220
4122221211222210213130
5220001112100230230
63521152125321340
7246211564556214
oct32514552444734
96432052158026
101831361726940
11646748a51289
12256b1b406250
13103909778295
14648d1a05244
1532987eb6d10
hex1aa65aa49dc

1831361726940 has 144 divisors (see below), whose sum is σ = 5368856156160. Its totient is φ = 465950620800.

The previous prime is 1831361726903. The next prime is 1831361726981. The reversal of 1831361726940 is 496271631381.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9278601 + ... + 9473919.

Almost surely, 21831361726940 is an apocalyptic number.

1831361726940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1831361726940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2684428078080).

1831361726940 is an abundant number, since it is smaller than the sum of its proper divisors (3537494429220).

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

1831361726940 is a wasteful number, since it uses less digits than its factorization.

1831361726940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195504 (or 195431 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 1831361726940 in words is "one trillion, eight hundred thirty-one billion, three hundred sixty-one million, seven hundred twenty-six thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 71 93 124 142 155 186 213 284 310 355 372 426 465 620 710 852 930 1065 1420 1860 2130 2201 4260 4402 5041 6603 8804 10082 11005 13206 15123 20164 22010 25205 26412 30246 33015 44020 50410 60492 66030 75615 100820 132060 151230 156271 195319 302460 312542 390638 468813 585957 625084 781276 781355 937626 976595 1171914 1562710 1875252 1953190 2343828 2344065 2929785 3125420 3906380 4688130 5859570 6054889 9376260 11719140 12109778 13867649 18164667 24219556 27735298 30274445 36329334 41602947 55470596 60548890 69338245 72658668 83205894 90823335 121097780 138676490 166411788 181646670 208014735 277352980 363293340 416029470 429897119 832058940 859794238 984603079 1289691357 1719588476 1969206158 2149485595 2579382714 2953809237 3938412316 4298971190 4923015395 5158765428 5907618474 6448456785 8597942380 9846030790 11815236948 12896913570 14769046185 19692061580 25793827140 29538092370 30522695449 59076184740 61045390898 91568086347 122090781796 152613477245 183136172694 305226954490 366272345388 457840431735 610453908980 915680863470 1831361726940