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41202122254000 = 2453283661110129
BaseRepresentation
bin10010101111001000111011…
…10111000110011010110000
312101212212212202000210110221
421113210131313012122300
520400023421244112000
6223343554344102424
711451516666441151
oct1127443567063260
9171785782023427
1041202122254000
11121457a3969a94
1247552b7464a14
1319cb460762666
14a2629c803928
154b6b65db861a
hex25791ddc66b0

41202122254000 has 160 divisors (see below), whose sum is σ = 100130932549440. Its totient is φ = 16397618688000.

The previous prime is 41202122253967. The next prime is 41202122254021. The reversal of 41202122254000 is 45222120214.

It is a happy number.

It is a super-2 number, since 2×412021222540002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 374070936 + ... + 374181064.

It is an arithmetic number, because the mean of its divisors is an integer number (625818328434).

Almost surely, 241202122254000 is an apocalyptic number.

41202122254000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41202122254000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50065466274720).

41202122254000 is an abundant number, since it is smaller than the sum of its proper divisors (58928810295440).

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

41202122254000 is a wasteful number, since it uses less digits than its factorization.

41202122254000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111096 (or 111080 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 41202122254000 its reverse (45222120214), we get a palindrome (41247344374214).

The spelling of 41202122254000 in words is "forty-one trillion, two hundred two billion, one hundred twenty-two million, two hundred fifty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 283 400 500 566 661 1000 1132 1322 1415 2000 2264 2644 2830 3305 4528 5288 5660 6610 7075 10576 11320 13220 14150 16525 22640 26440 28300 33050 35375 52880 56600 66100 70750 82625 110129 113200 132200 141500 165250 187063 220258 264400 283000 330500 374126 440516 550645 566000 661000 748252 881032 935315 1101290 1322000 1496504 1762064 1870630 2202580 2753225 2993008 3741260 4405160 4676575 5506450 7482520 8810320 9353150 11012900 13766125 14965040 18706300 22025800 23382875 27532250 31166507 37412600 44051600 46765750 55064500 62333014 72795269 74825200 93531500 110129000 124666028 145590538 155832535 187063000 220258000 249332056 291181076 311665070 363976345 374126000 498664112 582362152 623330140 727952690 779162675 1164724304 1246660280 1455905380 1558325350 1819881725 2493320560 2911810760 3116650700 3639763450 3895813375 5823621520 6233301400 7279526900 7791626750 9099408625 12466602800 14559053800 15583253500 18198817250 20601061127 29118107600 31166507000 36397634500 41202122254 62333014000 72795269000 82404244508 103005305635 145590538000 164808489016 206010611270 329616978032 412021222540 515026528175 824042445080 1030053056350 1648084890160 2060106112700 2575132640875 4120212225400 5150265281750 8240424450800 10300530563500 20601061127000 41202122254000