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414341043220 = 225132969717883
BaseRepresentation
bin1100000011110001010…
…01101001010000010100
31110121111010202211220201
412001320221221100110
523242032301340340
6514202354310244
741635520520436
oct6017051512024
91417433684821
10414341043220
1114a7a2798435
1268375b88384
13300c27b8630
14160a8a94656
15aba094679a
hex6078a69414

414341043220 has 96 divisors (see below), whose sum is σ = 969622254720. Its totient is φ = 147672107520.

The previous prime is 414341043217. The next prime is 414341043247. The reversal of 414341043220 is 22340143414.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52557399 + ... + 52565281.

It is an arithmetic number, because the mean of its divisors is an integer number (10100231820).

Almost surely, 2414341043220 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 414341043220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484811127360).

414341043220 is an abundant number, since it is smaller than the sum of its proper divisors (555281211500).

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

414341043220 is a wasteful number, since it uses less digits than its factorization.

414341043220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14905 (or 14903 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 414341043220 its reverse (22340143414), we get a palindrome (436681186634).

The spelling of 414341043220 in words is "four hundred fourteen billion, three hundred forty-one million, forty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 29 52 58 65 116 130 145 260 290 377 580 754 1508 1885 3770 6971 7540 7883 13942 15766 27884 31532 34855 39415 69710 78830 90623 102479 139420 157660 181246 202159 204958 228607 362492 404318 409916 453115 457214 512395 808636 906230 914428 1010795 1024790 1143035 1812460 2021590 2049580 2286070 2628067 2971891 4043180 4572140 5256134 5943782 10512268 11887564 13140335 14859455 26280670 29718910 52561340 54952393 59437820 109904786 219809572 274761965 549523930 714381109 1099047860 1428762218 1593619397 2857524436 3187238794 3571905545 6374477588 7143811090 7968096985 14287622180 15936193970 20717052161 31872387940 41434104322 82868208644 103585260805 207170521610 414341043220