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41042112144200 = 23524743110130353
BaseRepresentation
bin10010101010011110111001…
…00000111110001101001000
312101022120212100210000102222
421111033130200332031020
520334413221202103300
6223142252552113212
711434123541110256
oct1125173440761510
9171276770700388
1041042112144200
1112093953381222
12472a2a0395808
1319b934039620b
14a1c63d81b5d6
154b28ed5d0785
hex2553dc83e348

41042112144200 has 96 divisors (see below), whose sum is σ = 97679304552960. Its totient is φ = 16030269004800.

The previous prime is 41042112144193. The next prime is 41042112144233. The reversal of 41042112144200 is 244121124014.

It is a self number, because there is not a number n which added to its sum of digits gives 41042112144200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1013777 + ... + 9116576.

It is an arithmetic number, because the mean of its divisors is an integer number (1017492755760).

Almost surely, 241042112144200 is an apocalyptic number.

41042112144200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41042112144200 is an abundant number, since it is smaller than the sum of its proper divisors (56637192408760).

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

41042112144200 is a wasteful number, since it uses less digits than its factorization.

41042112144200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10130847 (or 10130838 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

Adding to 41042112144200 its reverse (244121124014), we get a palindrome (41286233268214).

The spelling of 41042112144200 in words is "forty-one trillion, forty-two billion, one hundred twelve million, one hundred forty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 188 200 235 376 431 470 862 940 1175 1724 1880 2155 2350 3448 4310 4700 8620 9400 10775 17240 20257 21550 40514 43100 81028 86200 101285 162056 202570 405140 506425 810280 1012850 2025700 4051400 10130353 20260706 40521412 50651765 81042824 101303530 202607060 253258825 405214120 476126591 506517650 952253182 1013035300 1904506364 2026070600 2380632955 3809012728 4366182143 4761265910 8732364286 9522531820 11903164775 17464728572 19045063640 21830910715 23806329550 34929457144 43661821430 47612659100 87323642860 95225318200 109154553575 174647285720 205210560721 218309107150 410421121442 436618214300 820842242884 873236428600 1026052803605 1641684485768 2052105607210 4104211214420 5130264018025 8208422428840 10260528036050 20521056072100 41042112144200