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4440031414300 = 22522318181113151
BaseRepresentation
bin100000010011100011001…
…1111101100100000011100
3120201110111102102121202001
41000213012133230200130
51040221141020224200
613235420002212044
7635532055213606
oct100470637544034
916643442377661
104440031414300
111462008a89039
125b8611654024
13262901b67c71
14114c81d2a176
157a766ee376a
hex409c67ec81c

4440031414300 has 144 divisors (see below), whose sum is σ = 10122556114944. Its totient is φ = 1687197600000.

The previous prime is 4440031414267. The next prime is 4440031414493. The reversal of 4440031414300 is 34141300444.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 337612725 + ... + 337625875.

It is an arithmetic number, because the mean of its divisors is an integer number (70295528576).

Almost surely, 24440031414300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4440031414300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5061278057472).

4440031414300 is an abundant number, since it is smaller than the sum of its proper divisors (5682524700644).

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

4440031414300 is a wasteful number, since it uses less digits than its factorization.

4440031414300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14180 (or 14173 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 4440031414300 its reverse (34141300444), we get a palindrome (4474172714744).

The spelling of 4440031414300 in words is "four trillion, four hundred forty billion, thirty-one million, four hundred fourteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 181 230 362 460 575 724 811 905 1150 1622 1810 2300 3244 3620 4055 4163 4525 8110 8326 9050 13151 16220 16652 18100 18653 20275 20815 26302 37306 40550 41630 52604 65755 74612 81100 83260 93265 104075 131510 146791 186530 208150 263020 293582 302473 328775 373060 416300 466325 587164 604946 657550 733955 932650 1209892 1315100 1467910 1512365 1865300 2380331 2935820 3024730 3376193 3669775 4760662 6049460 6752386 7339550 7561825 9521324 10665461 11901655 13504772 14679100 15123650 16880965 21330922 23803310 30247300 33761930 42661844 47606620 53327305 54747613 59508275 67523860 84404825 106654610 109495226 119016550 168809650 213309220 218990452 238033100 245305603 266636525 273738065 337619300 490611206 533273050 547476130 981222412 1066546100 1094952260 1226528015 1368690325 1930448441 2453056030 2737380650 3860896882 4906112060 5474761300 6132640075 7721793764 9652242205 12265280150 19304484410 24530560300 38608968820 44400314143 48261211025 88800628286 96522422050 177601256572 193044844100 222001570715 444003141430 888006282860 1110007853575 2220015707150 4440031414300