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40022032321100 = 22524341923399497
BaseRepresentation
bin10010001100110010110110…
…00001010000101001001100
312020201001212020121220000002
421012121123001100221030
520221210110233233400
6221041511241223432
711300332161506024
oct1106313301205114
9166631766556002
1040022032321100
1111830280967005
1245a4655791b78
1319440a502505b
149c5110670a84
154960e90d1ed5
hex24665b050a4c

40022032321100 has 144 divisors (see below), whose sum is σ = 89127089251200. Its totient is φ = 15590885291520.

The previous prime is 40022032321099. The next prime is 40022032321121. The reversal of 40022032321100 is 112323022004.

It is a super-2 number, since 2×400220323211002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 4214171552 + ... + 4214181048.

It is an arithmetic number, because the mean of its divisors is an integer number (618938119800).

Almost surely, 240022032321100 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 40022032321100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44563544625600).

40022032321100 is an abundant number, since it is smaller than the sum of its proper divisors (49105056930100).

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

40022032321100 is a wasteful number, since it uses less digits than its factorization.

40022032321100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12312 (or 12305 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 40022032321100 its reverse (112323022004), we get a palindrome (40134355343104).

The spelling of 40022032321100 in words is "forty trillion, twenty-two billion, thirty-two million, three hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 172 215 419 430 838 860 1075 1676 2095 2150 2339 4190 4300 4678 8380 9356 9497 10475 11695 18017 18994 20950 23390 36034 37988 41900 46780 47485 58475 72068 90085 94970 100577 116950 180170 189940 201154 233900 237425 360340 402308 408371 450425 474850 502885 816742 900850 949700 980041 1005770 1633484 1801700 1960082 2011540 2041855 2514425 3920164 3979243 4083710 4900205 5028850 7958486 8167420 9800410 10057700 10209275 15916972 19600820 19896215 20418550 22213483 24501025 39792430 40837100 42141763 44426966 49002050 79584860 84283526 88853932 98004100 99481075 111067415 168567052 171107449 198962150 210708815 222134830 342214898 397924300 421417630 444269660 555337075 684429796 842835260 855537245 955179769 1053544075 1110674150 1711074490 1910359538 2107088150 2221348300 3422148980 3820719076 4214176300 4277686225 4775898845 8555372450 9307449377 9551797690 17110744900 18614898754 19103595380 23879494225 37229797508 46537246885 47758988450 93074493770 95517976900 186148987540 232686234425 400220323211 465372468850 800440646422 930744937700 1600881292844 2001101616055 4002203232110 8004406464220 10005508080275 20011016160550 40022032321100