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40301300104100 = 22527471279957751
BaseRepresentation
bin10010010100111011000001…
…01011010011101110100100
312021200202200220020011121022
421022131200223103232210
520240244030311312400
6221414054531110312
711326446533502140
oct1112354053235644
9167622626204538
1040301300104100
111192875a28a872
12462a7b3a42398
13196451c869829
149d4844168220
1549d4e15dbb85
hex24a760ad3ba4

40301300104100 has 144 divisors (see below), whose sum is σ = 102153675079680. Its totient is φ = 13513009680000.

The previous prime is 40301300104049. The next prime is 40301300104123. The reversal of 40301300104100 is 140100310304.

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, 41600225 + ... + 42557975.

Almost surely, 240301300104100 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 40301300104100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51076837539840).

40301300104100 is an abundant number, since it is smaller than the sum of its proper divisors (61852374975580).

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

40301300104100 is a wasteful number, since it uses less digits than its factorization.

40301300104100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959098 (or 959091 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 40301300104100 its reverse (140100310304), we get a palindrome (40441400414404).

The spelling of 40301300104100 in words is "forty trillion, three hundred one billion, three hundred million, one hundred four thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 47 50 70 94 100 140 175 188 235 329 350 470 658 700 940 1175 1279 1316 1645 2350 2558 3290 4700 5116 6395 6580 8225 8953 12790 16450 17906 25580 31975 32900 35812 44765 60113 63950 89530 120226 127900 179060 223825 240452 300565 420791 447650 601130 841582 895300 957751 1202260 1502825 1683164 1915502 2103955 3005650 3831004 4207910 4788755 6011300 6704257 8415820 9577510 10519775 13408514 19155020 21039550 23943775 26817028 33521285 42079100 45014297 47887550 67042570 90028594 95775100 134085140 167606425 180057188 225071485 315100079 335212850 450142970 630200158 670425700 900285940 1125357425 1224963529 1260400316 1575500395 2250714850 2449927058 3151000790 4501429700 4899854116 6124817645 6302001580 7877501975 8574744703 12249635290 15755003950 17149489406 24499270580 30624088225 31510007900 34298978812 42873723515 57573285863 61248176450 85747447030 115146571726 122496352900 171494894060 214368617575 230293143452 287866429315 403013001041 428737235150 575732858630 806026002082 857474470300 1151465717260 1439332146575 1612052004164 2015065005205 2878664293150 4030130010410 5757328586300 8060260020820 10075325026025 20150650052050 40301300104100