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41013424241240 = 23511155961439733
BaseRepresentation
bin10010101001101001011101…
…00101010011101001011000
312101012211211001102112211112
421110310232211103221120
520333430443101204430
6223121150150515452
711432056613004233
oct1124645645235130
9171184731375745
1041013424241240
1112082771848110
124724814965b88
1319b671aab32c9
14a1b0bb76241a
154b1cbec86195
hex254d2e953a58

41013424241240 has 128 divisors (see below), whose sum is σ = 100760636620800. Its totient is φ = 14900448760320.

The previous prime is 41013424241183. The next prime is 41013424241249. The reversal of 41013424241240 is 4214242431014.

It is a junction number, because it is equal to n+sod(n) for n = 41013424241197 and 41013424241206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41013424241249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4213847414 + ... + 4213857146.

It is an arithmetic number, because the mean of its divisors is an integer number (787192473600).

Almost surely, 241013424241240 is an apocalyptic number.

41013424241240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41013424241240 is an abundant number, since it is smaller than the sum of its proper divisors (59747212379560).

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

41013424241240 is a wasteful number, since it uses less digits than its factorization.

41013424241240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17457 (or 17453 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 41013424241240 its reverse (4214242431014), we get a palindrome (45227666672254).

The spelling of 41013424241240 in words is "forty-one trillion, thirteen billion, four hundred twenty-four million, two hundred forty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 1559 3118 6143 6236 7795 9733 12286 12472 15590 17149 19466 24572 30715 31180 34298 38932 48665 49144 61430 62360 67573 68596 77864 85745 97330 107063 122860 135146 137192 171490 194660 214126 245720 270292 337865 342980 389320 428252 535315 540584 675730 685960 856504 1070630 1351460 2141260 2702920 4282520 9576937 15173747 19153874 30347494 38307748 47884685 59789819 60694988 75868735 76615496 95769370 105346307 119579638 121389976 151737470 166911217 191538740 210692614 239159276 298949095 303474940 333822434 383077480 421385228 478318552 526731535 597898190 606949880 657688009 667644868 834556085 842770456 1053463070 1195796380 1315376018 1335289736 1669112170 2106926140 2391592760 2630752036 3288440045 3338224340 4213852280 5261504072 6576880090 6676448680 13153760180 26307520360 93212327821 186424655642 372849311284 466061639105 745698622568 932123278210 1025335606031 1864246556420 2050671212062 3728493112840 4101342424124 5126678030155 8202684848248 10253356060310 20506712120620 41013424241240