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4141032301413 = 3676113797103
BaseRepresentation
bin111100010000101000110…
…000100110001101100101
3112122212201122211221000000
4330100220300212031211
51020321313232121123
612450210341411513
7605115432535410
oct74205060461545
915585648757000
104141032301413
111357224861077
1256a687409b99
132406614c7267
141045d9ac6b77
1572ab763db43
hex3c428c26365

4141032301413 has 112 divisors (see below), whose sum is σ = 7264706029056. Its totient is φ = 2310499365120.

The previous prime is 4141032301361. The next prime is 4141032301493. The reversal of 4141032301413 is 3141032301414.

4141032301413 is a `hidden beast` number, since 4 + 1 + 4 + 10 + 3 + 230 + 1 + 413 = 666.

It is not a de Polignac number, because 4141032301413 - 26 = 4141032301349 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4141032301493) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 42597220 + ... + 42694322.

It is an arithmetic number, because the mean of its divisors is an integer number (64863446688).

Almost surely, 24141032301413 is an apocalyptic number.

It is an amenable number.

4141032301413 is a deficient number, since it is larger than the sum of its proper divisors (3123673727643).

4141032301413 is an equidigital number, since it uses as much as digits as its factorization.

4141032301413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97326 (or 97311 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 4141032301413 its reverse (3141032301414), we get a palindrome (7282064602827).

Subtracting from 4141032301413 its reverse (3141032301414), we obtain a palindrome (999999999999).

The spelling of 4141032301413 in words is "four trillion, one hundred forty-one billion, thirty-two million, three hundred one thousand, four hundred thirteen".

Divisors: 1 3 7 9 21 27 61 63 81 137 183 189 243 411 427 549 567 729 959 1233 1281 1647 1701 2877 3699 3843 4941 5103 8357 8631 11097 11529 14823 25071 25893 33291 34587 44469 58499 75213 77679 97103 99873 103761 175497 225639 233037 291309 311283 526491 676917 679721 699111 873927 1579473 2030751 2039163 2621781 4738419 5923283 6092253 6117489 7865343 13303111 14215257 17769849 18352467 23596029 39909333 41462981 42645771 53309547 55057401 70788087 93121777 119727999 124388943 159928641 165172203 279365331 359183997 373166829 479785923 495516609 811489771 838095993 1077551991 1119500487 1439357769 2434469313 2514287979 3232655973 3358501461 4318073307 5680428397 7303407939 7542863937 9697967919 10075504383 17041285191 21910223817 22628591811 30226513149 51123855573 65730671451 67885775433 153371566719 197192014353 460114700157 591576043059 1380344100471 4141032301413