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414122422520 = 235109859110573
BaseRepresentation
bin1100000011010111001…
…11101011000011111000
31110120220220101202200202
412001223213223003320
523241110320010040
6514124544421332
741630224340342
oct6015347530370
91416826352622
10414122422520
1114a6a0347474
1268314917848
1330089411981
1416087a26292
15ab8b660015
hex606b9eb0f8

414122422520 has 64 divisors (see below), whose sum is σ = 941427036000. Its totient is φ = 163936700928.

The previous prime is 414122422459. The next prime is 414122422523. The reversal of 414122422520 is 25224221414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414122422523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3689954 + ... + 3800526.

Almost surely, 2414122422520 is an apocalyptic number.

414122422520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414122422520 is an abundant number, since it is smaller than the sum of its proper divisors (527304613480).

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

414122422520 is a wasteful number, since it uses less digits than its factorization.

414122422520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111552 (or 111548 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 29.

Adding to 414122422520 its reverse (25224221414), we get a palindrome (439346643934).

The spelling of 414122422520 in words is "four hundred fourteen billion, one hundred twenty-two million, four hundred twenty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 109 218 436 545 859 872 1090 1718 2180 3436 4295 4360 6872 8590 17180 34360 93631 110573 187262 221146 374524 442292 468155 552865 749048 884584 936310 1105730 1872620 2211460 3745240 4422920 12052457 24104914 48209828 60262285 94982207 96419656 120524570 189964414 241049140 379928828 474911035 482098280 759857656 949822070 1899644140 3799288280 10353060563 20706121126 41412242252 51765302815 82824484504 103530605630 207061211260 414122422520