Search a number
-
+
102342233202440 = 23571179420607567
BaseRepresentation
bin10111010001010001101000…
…011101001001111100001000
3111102100211012012022101022212
4113101101220131021330020
5101403233343144434230
61001355212313004252
730361660641650030
oct2721215035117410
9442324165271285
10102342233202440
112a67810864a350
12b58a73a9b3688
134514aa614661a
141b3b5678128c0
15bc7252a1c895
hex5d1468749f08

102342233202440 has 128 divisors (see below), whose sum is σ = 290723951001600. Its totient is φ = 31495094542080.

The previous prime is 102342233202403. The next prime is 102342233202481. The reversal of 102342233202440 is 44202332243201.

It is a super-2 number, since 2×1023422332024402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102342233202397 and 102342233202406.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 210060464 + ... + 210547103.

It is an arithmetic number, because the mean of its divisors is an integer number (2271280867200).

Almost surely, 2102342233202440 is an apocalyptic number.

102342233202440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102342233202440 is an abundant number, since it is smaller than the sum of its proper divisors (188381717799160).

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

102342233202440 is a wasteful number, since it uses less digits than its factorization.

102342233202440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420607675 (or 420607671 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 102342233202440 its reverse (44202332243201), we get a palindrome (146544565445641).

The spelling of 102342233202440 in words is "one hundred two trillion, three hundred forty-two billion, two hundred thirty-three million, two hundred two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 79 88 110 140 154 158 220 280 308 316 385 395 440 553 616 632 770 790 869 1106 1540 1580 1738 2212 2765 3080 3160 3476 4345 4424 5530 6083 6952 8690 11060 12166 17380 22120 24332 30415 34760 48664 60830 121660 243320 420607567 841215134 1682430268 2103037835 2944252969 3364860536 4206075670 4626683237 5888505938 8412151340 9253366474 11777011876 14721264845 16824302680 18506732948 23133416185 23554023752 29442529690 32386782659 33227997793 37013465896 46266832370 58885059380 64773565318 66455995586 92533664740 117770118760 129547130636 132911991172 161933913295 166139988965 185067329480 232595984551 259094261272 265823982344 323867826590 332279977930 365507975723 465191969102 647735653180 664559955860 731015951446 930383938204 1162979922755 1295471306360 1329119911720 1462031902892 1827539878615 1860767876408 2325959845510 2558555830061 2924063805784 3655079757230 4651919691020 5117111660122 7310159514460 9303839382040 10234223320244 12792779150305 14620319028920 20468446640488 25585558300610 51171116601220 102342233202440