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413341041420 = 22355829102593
BaseRepresentation
bin1100000001111010000…
…10111100001100001100
31110111220110002111100000
412000331002330030030
523233010301311140
6513515233004300
741601655611336
oct6007502741414
91414813074300
10413341041420
1114a32a27326a
12681370b3690
132cc9357a6a8
1416011d46456
15ab42c64a30
hex603d0bc30c

413341041420 has 144 divisors (see below), whose sum is σ = 1301819369760. Its totient is φ = 110090244096.

The previous prime is 413341041413. The next prime is 413341041427. The reversal of 413341041420 is 24140143314.

413341041420 is a `hidden beast` number, since 4 + 133 + 4 + 104 + 1 + 420 = 666.

It is an interprime number because it is at equal distance from previous prime (413341041413) and next prime (413341041427).

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

It is not an unprimeable number, because it can be changed into a prime (413341041427) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3977644 + ... + 4080236.

It is an arithmetic number, because the mean of its divisors is an integer number (9040412290).

Almost surely, 2413341041420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413341041420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650909684880).

413341041420 is an abundant number, since it is smaller than the sum of its proper divisors (888478328340).

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

413341041420 is a wasteful number, since it uses less digits than its factorization.

413341041420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103446 (or 103432 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 413341041420 its reverse (24140143314), we get a palindrome (437481184734).

The spelling of 413341041420 in words is "four hundred thirteen billion, three hundred forty-one million, forty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 829 972 1215 1620 1658 2430 2487 3316 4145 4860 4974 7461 8290 9948 12435 14922 16580 22383 24870 29844 37305 44766 49740 67149 74610 89532 102593 111915 134298 149220 201447 205186 223830 268596 307779 335745 402894 410372 447660 512965 615558 671490 805788 923337 1007235 1025930 1231116 1342980 1538895 1846674 2014470 2051860 2770011 3077790 3693348 4028940 4616685 5540022 6155580 8310033 9233370 11080044 13850055 16620066 18466740 24930099 27700110 33240132 41550165 49860198 55400220 83100330 85049597 99720396 124650495 166200660 170099194 249300990 255148791 340198388 425247985 498601980 510297582 765446373 850495970 1020595164 1275743955 1530892746 1700991940 2296339119 2551487910 3061785492 3827231865 4592678238 5102975820 6889017357 7654463730 9185356476 11481695595 13778034714 15308927460 20667052071 22963391190 27556069428 34445086785 41334104142 45926782380 68890173570 82668208284 103335260355 137780347140 206670520710 413341041420