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41211351342120 = 23352331347704949
BaseRepresentation
bin10010101111011010000111…
…11101010001110000101000
312101220202200221012001022110
421113231003331101300220
520400201321420421440
6223352122231322320
711452264463416461
oct1127550375216050
9171822627161273
1041211351342120
11121496aa500543
1247570522203a0
1319cc2a1812b4b
14a268d640dd68
154b7006248080
hex257b43f51c28

41211351342120 has 128 divisors (see below), whose sum is σ = 129421621152000. Its totient is φ = 10478296418304.

The previous prime is 41211351342089. The next prime is 41211351342137. The reversal of 41211351342120 is 2124315311214.

41211351342120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22988595 + ... + 24716354.

It is an arithmetic number, because the mean of its divisors is an integer number (1011106415250).

Almost surely, 241211351342120 is an apocalyptic number.

41211351342120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41211351342120 is an abundant number, since it is smaller than the sum of its proper divisors (88210269809880).

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

41211351342120 is a wasteful number, since it uses less digits than its factorization.

41211351342120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47705299 (or 47705295 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 41211351342120 its reverse (2124315311214), we get a palindrome (43335666653334).

The spelling of 41211351342120 in words is "forty-one trillion, two hundred eleven billion, three hundred fifty-one million, three hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 313 345 460 552 626 690 920 939 1252 1380 1565 1878 2504 2760 3130 3756 4695 6260 7199 7512 9390 12520 14398 18780 21597 28796 35995 37560 43194 57592 71990 86388 107985 143980 172776 215970 287960 431940 863880 47704949 95409898 143114847 190819796 238524745 286229694 381639592 477049490 572459388 715574235 954098980 1097213827 1144918776 1431148470 1908197960 2194427654 2862296940 3291641481 4388855308 5486069135 5724593880 6583282962 8777710616 10972138270 13166565924 14931649037 16458207405 21944276540 26333131848 29863298074 32916414810 43888553080 44794947111 59726596148 65832829620 74658245185 89589894222 119453192296 131665659240 149316490370 179179788444 223974735555 298632980740 343427927851 358359576888 447949471110 597265961480 686855855702 895898942220 1030283783553 1373711711404 1717139639255 1791797884440 2060567567106 2747423422808 3434279278510 4121135134212 5151418917765 6868558557020 8242270268424 10302837835530 13737117114040 20605675671060 41211351342120