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413244221130 = 232513919384331
BaseRepresentation
bin1100000001101110100…
…01100110011011001010
31110111122200220111212100
412000313101212123022
523232311010034010
6513501453454230
741566401631416
oct6006721463312
91414580814770
10413244221130
1114a28a6537a4
126810a7a1376
132cc794ab290
1416003141d46
15ab394dc2c0
hex60374666ca

413244221130 has 96 divisors (see below), whose sum is σ = 1158345901440. Its totient is φ = 101610702720.

The previous prime is 413244221123. The next prime is 413244221147. The reversal of 413244221130 is 31122442314.

413244221130 is a `hidden beast` number, since 4 + 1 + 3 + 2 + 442 + 211 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 413244221094 and 413244221103.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 883065 + ... + 1267395.

It is an arithmetic number, because the mean of its divisors is an integer number (12066103140).

Almost surely, 2413244221130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413244221130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579172950720).

413244221130 is an abundant number, since it is smaller than the sum of its proper divisors (745101680310).

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

413244221130 is a wasteful number, since it uses less digits than its factorization.

413244221130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385276 (or 385273 counting only the distinct ones).

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

Adding to 413244221130 its reverse (31122442314), we get a palindrome (444366663444).

The spelling of 413244221130 in words is "four hundred thirteen billion, two hundred forty-four million, two hundred twenty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 919 1170 1838 2757 4595 5514 8271 9190 11947 13785 16542 23894 27570 35841 41355 59735 71682 82710 107523 119470 179205 215046 358410 384331 537615 768662 1075230 1152993 1921655 2305986 3458979 3843310 4996303 5764965 6917958 9992606 11529930 14988909 17294895 24981515 29977818 34589790 44966727 49963030 74944545 89933454 149889090 224833635 353200189 449667270 706400378 1059600567 1766000945 2119201134 3178801701 3532001890 4591602457 5298002835 6357603402 9183204914 10596005670 13774807371 15894008505 22958012285 27549614742 31788017010 41324422113 45916024570 68874036855 82648844226 137748073710 206622110565 413244221130