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41871347387920 = 245191012161126211
BaseRepresentation
bin10011000010100111011101…
…10010011000111000010000
312111020212021012012000102001
421201103232302120320100
520442010004412403140
6225015233105203344
711551051010303101
oct1141235662307020
9174225235160361
1041871347387920
11123835a2020266
124842b45630554
131a495b314476b
14a4a8267d83a8
154c92832d6e9a
hex2614eec98e10

41871347387920 has 160 divisors (see below), whose sum is σ = 103537923327360. Its totient is φ = 15702543360000.

The previous prime is 41871347387887. The next prime is 41871347387941. The reversal of 41871347387920 is 2978374317814.

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, 331693615 + ... + 331819825.

It is an arithmetic number, because the mean of its divisors is an integer number (647112020796).

Almost surely, 241871347387920 is an apocalyptic number.

41871347387920 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 41871347387920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51768961663680).

41871347387920 is an abundant number, since it is smaller than the sum of its proper divisors (61666575939440).

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

41871347387920 is a wasteful number, since it uses less digits than its factorization.

41871347387920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128505 (or 128499 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 64.

The spelling of 41871347387920 in words is "forty-one trillion, eight hundred seventy-one billion, three hundred forty-seven million, three hundred eighty-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 101 152 190 202 304 380 404 505 760 808 1010 1520 1616 1919 2020 2161 3838 4040 4322 7676 8080 8644 9595 10805 15352 17288 19190 21610 30704 34576 38380 41059 43220 76760 82118 86440 126211 153520 164236 172880 205295 218261 252422 328472 410590 436522 504844 631055 656944 821180 873044 1009688 1091305 1262110 1642360 1746088 2019376 2182610 2398009 2524220 3284720 3492176 4146959 4365220 4796018 5048440 8293918 8730440 9592036 10096880 11990045 12747311 16587836 17460880 19184072 20734795 23980090 25494622 33175672 38368144 41469590 47960180 50989244 63736555 66351344 82939180 95920360 101978488 127473110 165878360 191840720 203956976 242198909 254946220 272741971 331756720 484397818 509892440 545483942 968795636 1019784880 1090967884 1210994545 1363709855 1937591272 2181935768 2421989090 2727419710 3875182544 4363871536 4843978180 5182097449 5454839420 9687956360 10364194898 10909678840 19375912720 20728389796 21819357680 25910487245 27546939071 41456779592 51820974490 55093878142 82913559184 103641948980 110187756284 137734695355 207283897960 220375512568 275469390710 414567795920 440751025136 523391842349 550938781420 1046783684698 1101877562840 2093567369396 2203755125680 2616959211745 4187134738792 5233918423490 8374269477584 10467836846980 20935673693960 41871347387920