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144726074340 = 223596713991783
BaseRepresentation
bin1000011011001001011…
…0001010001111100100
3111211120012122022221120
42012302112022033210
54332344333334330
6150253010013540
713312306222461
oct2066226121744
9454505568846
10144726074340
1156418106801
12240705772b0
1310855a51ca3
14700d186668
153b70ab9c10
hex21b258a3e4

144726074340 has 96 divisors (see below), whose sum is σ = 406169702400. Its totient is φ = 38504543616.

The previous prime is 144726074303. The next prime is 144726074419. The reversal of 144726074340 is 43470627441.

It is a junction number, because it is equal to n+sod(n) for n = 144726074292 and 144726074301.

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 31 ways as a sum of consecutive naturals, for example, 81169089 + ... + 81170871.

It is an arithmetic number, because the mean of its divisors is an integer number (4230934400).

Almost surely, 2144726074340 is an apocalyptic number.

144726074340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144726074340 is an abundant number, since it is smaller than the sum of its proper divisors (261443628060).

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

144726074340 is a wasteful number, since it uses less digits than its factorization.

144726074340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4161 (or 4159 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 42.

The spelling of 144726074340 in words is "one hundred forty-four billion, seven hundred twenty-six million, seventy-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 967 1399 1783 1934 2798 2901 3566 3868 4197 4835 5349 5596 5802 6995 7132 8394 8915 9670 10698 11604 13990 14505 16788 17830 19340 20985 21396 26745 27980 29010 35660 41970 53490 58020 83940 106980 1352833 1724161 2494417 2705666 3448322 4058499 4988834 5172483 5411332 6764165 6896644 7483251 8116998 8620805 9977668 10344966 12472085 13528330 14966502 16233996 17241610 20292495 20689932 24944170 25862415 27056660 29933004 34483220 37416255 40584990 49888340 51724830 74832510 81169980 103449660 149665020 2412101239 4824202478 7236303717 9648404956 12060506195 14472607434 24121012390 28945214868 36181518585 48242024780 72363037170 144726074340