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140230111434100 = 225223191478366739
BaseRepresentation
bin11111111000100111011101…
…111110101001010101110100
3200101111212102120111120022121
4133320213131332221111310
5121340012232011342400
61214124453541405324
741352201613145512
oct3770473576512564
9611455376446277
10140230111434100
1140755290127576
1213889650709844
13603284820c9ac
14268b2605434b2
151132a9124c21a
hex7f89ddfa9574

140230111434100 has 144 divisors (see below), whose sum is σ = 319263725813760. Its totient is φ = 53360394595200.

The previous prime is 140230111434043. The next prime is 140230111434107. The reversal of 140230111434100 is 1434111032041.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140230111434107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2101138531 + ... + 2101205269.

It is an arithmetic number, because the mean of its divisors is an integer number (2217109207040).

Almost surely, 2140230111434100 is an apocalyptic number.

140230111434100 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 140230111434100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159631862906880).

140230111434100 is an abundant number, since it is smaller than the sum of its proper divisors (179033614379660).

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

140230111434100 is a wasteful number, since it uses less digits than its factorization.

140230111434100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71750 (or 71743 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 140230111434100 its reverse (1434111032041), we get a palindrome (141664222466141).

The spelling of 140230111434100 in words is "one hundred forty trillion, two hundred thirty billion, one hundred eleven million, four hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 191 230 382 460 575 764 955 1150 1910 2300 3820 4393 4775 4783 8786 9550 9566 17572 19100 19132 21965 23915 43930 47830 66739 87860 95660 109825 110009 119575 133478 219650 220018 239150 266956 333695 439300 440036 478300 550045 667390 913553 1100090 1334780 1534997 1668475 1827106 2200180 2750225 3069994 3336950 3654212 4567765 5500450 6139988 6673900 7674985 9135530 11000900 12747149 15349970 18271060 21011719 22838825 25494298 30699940 38374925 42023438 45677650 50988596 63735745 76749850 84046876 91355300 105058595 127471490 153499700 210117190 254942980 293184427 318678725 319212637 420234380 525292975 586368854 637357450 638425274 1050585950 1172737708 1274714900 1276850548 1465922135 1596063185 2101171900 2931844270 3192126370 5863688540 6384252740 7329610675 7341890651 7980315925 14659221350 14683781302 15960631850 29318442700 29367562604 31921263700 36709453255 60969613667 73418906510 121939227334 146837813020 183547266275 243878454668 304848068335 367094532550 609696136670 734189065100 1219392273340 1402301114341 1524240341675 2804602228682 3048480683350 5609204457364 6096961366700 7011505571705 14023011143410 28046022286820 35057527858525 70115055717050 140230111434100