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123413430332240 = 24541229465135327
BaseRepresentation
bin11100000011111001101101…
…101011001110101101010000
3121011222012122011011020200222
4130003321231223032231100
5112134001201131112430
61114251202555132212
734665216565242656
oct3403715553165520
9534865564136628
10123413430332240
113636138404a714
1211a12424144068
1353b2ab4b6b459
142269355ab2dd6
15e403ee89a9e5
hex703e6daceb50

123413430332240 has 160 divisors (see below), whose sum is σ = 295290060226560. Its totient is φ = 47939360256000.

The previous prime is 123413430332123. The next prime is 123413430332287. The reversal of 123413430332240 is 42233034314321.

It is a self number, because there is not a number n which added to its sum of digits gives 123413430332240.

It is a congruent number.

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, 3493441457 + ... + 3493476783.

It is an arithmetic number, because the mean of its divisors is an integer number (1845562876416).

Almost surely, 2123413430332240 is an apocalyptic number.

123413430332240 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 123413430332240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147645030113280).

123413430332240 is an abundant number, since it is smaller than the sum of its proper divisors (171876629894320).

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

123413430332240 is a wasteful number, since it uses less digits than its factorization.

123413430332240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40261 (or 40255 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 35.

Adding to 123413430332240 its reverse (42233034314321), we get a palindrome (165646464646561).

The spelling of 123413430332240 in words is "one hundred twenty-three trillion, four hundred thirteen billion, four hundred thirty million, three hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 229 328 410 458 656 820 916 1145 1640 1832 2290 3280 3664 4580 4651 9160 9302 9389 18320 18604 18778 23255 35327 37208 37556 46510 46945 70654 74416 75112 93020 93890 141308 150224 176635 186040 187780 190691 282616 353270 372080 375560 381382 565232 706540 751120 762764 953455 1065079 1413080 1448407 1525528 1906910 2130158 2826160 2896814 3051056 3813820 4260316 5325395 5793628 7242035 7627640 8089883 8520632 10650790 11587256 14484070 15255280 16179766 17041264 21301580 23174512 28968140 32359532 40449415 42603160 43668239 57936280 64719064 80898830 85206320 87336478 115872560 129438128 161797660 164305877 174672956 218341195 323595320 328611754 331685203 349345912 436682390 647190640 657223508 663370406 698691824 821529385 873364780 1314447016 1326740812 1643058770 1658426015 1746729560 2628894032 2653481624 3286117540 3316852030 3493459120 5306963248 6572235080 6633704060 6736540957 13144470160 13267408120 13473081914 26534816240 26946163828 33682704785 37626045833 53892327656 67365409570 75252091666 107784655312 134730819140 150504183332 188130229165 269461638280 301008366664 376260458330 538923276560 602016733328 752520916660 1505041833320 1542667879153 3010083666640 3085335758306 6170671516612 7713339395765 12341343033224 15426678791530 24682686066448 30853357583060 61706715166120 123413430332240