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231023724465408 = 283766601645233
BaseRepresentation
bin110100100001110101100111…
…000010000000110100000000
31010021222122121120111221211120
4310201311213002000310000
5220240043041430343113
62135202500040512240
766442625154261510
oct6441654702006400
91107878546457746
10231023724465408
116767a67a7592a6
1221ab1b41a7b680
139bba59cb7cc74
14410987220b840
151ba96cd2e5a23
hexd21d67080d00

231023724465408 has 144 divisors (see below), whose sum is σ = 702708801841536. Its totient is φ = 66005685043200.

The previous prime is 231023724465371. The next prime is 231023724465493. The reversal of 231023724465408 is 804564427320132.

It is a super-2 number, since 2×2310237244654082 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 357724360 + ... + 358369592.

Almost surely, 2231023724465408 is an apocalyptic number.

231023724465408 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

231023724465408 is an abundant number, since it is smaller than the sum of its proper divisors (471685077376128).

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

231023724465408 is an equidigital number, since it uses as much as digits as its factorization.

231023724465408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711860 (or 711846 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 51.

The spelling of 231023724465408 in words is "two hundred thirty-one trillion, twenty-three billion, seven hundred twenty-four million, four hundred sixty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 5376 66601 133202 199803 266404 399606 466207 532808 645233 799212 932414 1065616 1290466 1398621 1598424 1864828 1935699 2131232 2580932 2797242 3196848 3729656 3871398 4262464 4516631 5161864 5594484 6393696 7459312 7742796 8524928 9033262 10323728 11188968 12787392 13549893 14918624 15485592 17049856 18066524 20647456 22377936 25574784 27099786 29837248 30971184 36133048 41294912 44755872 51149568 54199572 59674496 61942368 72266096 82589824 89511744 108399144 119348992 123884736 144532192 165179648 179023488 216798288 247769472 289064384 358046976 433596576 495538944 578128768 867193152 1156257536 1734386304 3468772608 42973163033 85946326066 128919489099 171892652132 257838978198 300812141231 343785304264 515677956396 601624282462 687570608528 902436423693 1031355912792 1203248564924 1375141217056 1804872847386 2062711825584 2406497129848 2750282434112 3609745694772 4125423651168 4812994259696 5500564868224 7219491389544 8250847302336 9625988519392 11001129736448 14438982779088 16501694604672 19251977038784 28877965558176 33003389209344 38503954077568 57755931116352 77007908155136 115511862232704 231023724465408