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40304442300 = 22352316017211
BaseRepresentation
bin100101100010010101…
…001111101110111100
310212000212220210211020
4211202111033232330
51130020414123200
630303212024140
72624532051453
oct454225175674
9125025823736
1040304442300
1116102897051
127989a62050
133a54177335
141d44bb9b9a
1510ad5c1ea0
hex96254fbbc

40304442300 has 144 divisors (see below), whose sum is σ = 120592948224. Its totient is φ = 10382400000.

The previous prime is 40304442289. The next prime is 40304442323. The reversal of 40304442300 is 324440304.

It is a happy number.

It is a super-2 number, since 2×403044423002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5585695 + ... + 5592905.

Almost surely, 240304442300 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 40304442300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60296474112).

40304442300 is an abundant number, since it is smaller than the sum of its proper divisors (80288505924).

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

40304442300 is a wasteful number, since it uses less digits than its factorization.

40304442300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7860 (or 7853 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 40304442300 its reverse (324440304), we get a palindrome (40628882604).

The spelling of 40304442300 in words is "forty billion, three hundred four million, four hundred forty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 300 310 372 465 601 620 775 930 1202 1550 1803 1860 2325 2404 3005 3100 3606 4650 6010 7211 7212 9015 9300 12020 14422 15025 18030 18631 21633 28844 30050 36055 36060 37262 43266 45075 55893 60100 72110 74524 86532 90150 93155 108165 111786 144220 180275 180300 186310 216330 223541 223572 279465 360550 372620 432660 447082 465775 540825 558930 670623 721100 894164 931550 1081650 1117705 1117860 1341246 1397325 1863100 2163300 2235410 2682492 2794650 3353115 4333811 4470820 5588525 5589300 6706230 8667622 11177050 13001433 13412460 16765575 17335244 21669055 22354100 26002866 33531150 43338110 52005732 65007165 67062300 86676220 108345275 130014330 134348141 216690550 260028660 268696282 325035825 403044423 433381100 537392564 650071650 671740705 806088846 1300143300 1343481410 1612177692 2015222115 2686962820 3358703525 4030444230 6717407050 8060888460 10076110575 13434814100 20152221150 40304442300