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413423320342220 = 225176156473529949
BaseRepresentation
bin101111000000000011001111…
…0001001101001111011001100
32000012210212212000200010220122
41132000012132021221323030
5413142011430001422340
64023140015035404112
7153036564165146666
oct13600063611517314
92005725760603818
10413423320342220
1110a802933455a91
123a4502615b3638
131498b8620a4566
147413b1caab536
1532be151699db5
hex178019e269ecc

413423320342220 has 96 divisors (see below), whose sum is σ = 934494451027200. Its totient is φ = 153063063613440.

The previous prime is 413423320342217. The next prime is 413423320342231. The reversal of 413423320342220 is 22243023324314.

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, 115353806 + ... + 118883754.

It is an arithmetic number, because the mean of its divisors is an integer number (9734317198200).

Almost surely, 2413423320342220 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 413423320342220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467247225513600).

413423320342220 is an abundant number, since it is smaller than the sum of its proper divisors (521071130684980).

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

413423320342220 is a wasteful number, since it uses less digits than its factorization.

413423320342220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3535683 (or 3535681 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 35.

Adding to 413423320342220 its reverse (22243023324314), we get a palindrome (435666343666534).

The spelling of 413423320342220 in words is "four hundred thirteen trillion, four hundred twenty-three billion, three hundred twenty million, three hundred forty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 61 68 85 122 170 244 305 340 610 1037 1220 2074 4148 5185 5647 10370 11294 20740 22588 28235 56470 95999 112940 191998 344467 383996 479995 688934 959990 1377868 1722335 1919980 3444670 3529949 5855939 6889340 7059898 11711878 14119796 17649745 23423756 29279695 35299490 58559390 60009133 70598980 117118780 120018266 215326889 240036532 300045665 430653778 600091330 861307556 1076634445 1200182660 2153268890 3660557113 4306537780 7321114226 14642228452 18302785565 19933622003 36605571130 39867244006 73211142260 79734488012 99668110015 199336220030 338871574051 398672440060 677743148102 1215950942183 1355486296204 1694357870255 2431901884366 3388715740510 4863803768732 6079754710915 6777431481020 12159509421830 20671166017111 24319018843660 41342332034222 82684664068444 103355830085555 206711660171110 413423320342220