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414013203220 = 225313697180623
BaseRepresentation
bin1100000011001010001…
…11000010001100010100
31110120122021212211222111
412001211013002030110
523240344340000340
6514110043440404
741624430106621
oct6014507021424
91416567784874
10414013203220
1114a644729391
12682a4226104
133006c8c0a76
1416077315348
15ab81c88aea
hex60651c2314

414013203220 has 48 divisors (see below), whose sum is σ = 897721509888. Its totient is φ = 160218938880.

The previous prime is 414013203119. The next prime is 414013203259. The reversal of 414013203220 is 22302310414.

It is a junction number, because it is equal to n+sod(n) for n = 414013203191 and 414013203200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2201829 + ... + 2382451.

It is an arithmetic number, because the mean of its divisors is an integer number (18702531456).

Almost surely, 2414013203220 is an apocalyptic number.

It is an amenable number.

414013203220 is an abundant number, since it is smaller than the sum of its proper divisors (483708306668).

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

414013203220 is a wasteful number, since it uses less digits than its factorization.

414013203220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184360 (or 184358 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 414013203220 its reverse (22302310414), we get a palindrome (436315513634).

The spelling of 414013203220 in words is "four hundred fourteen billion, thirteen million, two hundred three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 3697 7394 14788 18485 36970 73940 114607 180623 229214 361246 458428 573035 722492 903115 1146070 1806230 2292140 3612460 5599313 11198626 22397252 27996565 55993130 111986260 667763231 1335526462 2671052924 3338816155 6677632310 13355264620 20700660161 41401320322 82802640644 103503300805 207006601610 414013203220