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418438056234 = 231123191920231
BaseRepresentation
bin1100001011011001101…
…10100000100100101010
31111000001200000200012110
412011230312200210222
523323430120244414
6520121111423150
742142166536002
oct6055466404452
91430050020173
10418438056234
11151505412a00
126911a084ab6
13305c65460a3
1416376c5d002
15ad40481459
hex616cda092a

418438056234 has 96 divisors (see below), whose sum is σ = 950625607680. Its totient is φ = 122569524000.

The previous prime is 418438056233. The next prime is 418438056247. The reversal of 418438056234 is 432650834814.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (418438056233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20672899 + ... + 20693129.

It is an arithmetic number, because the mean of its divisors is an integer number (9902350080).

Almost surely, 2418438056234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 418438056234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475312803840).

418438056234 is an abundant number, since it is smaller than the sum of its proper divisors (532187551446).

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

418438056234 is a wasteful number, since it uses less digits than its factorization.

418438056234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21208 (or 21197 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 48.

The spelling of 418438056234 in words is "four hundred eighteen billion, four hundred thirty-eight million, fifty-six thousand, two hundred thirty-four".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 121 186 242 341 363 682 726 919 1023 1838 2046 2757 3751 5514 7502 10109 11253 20218 20231 22506 28489 30327 40462 56978 60654 60693 85467 111199 121386 170934 222398 222541 313379 333597 445082 626758 627161 667194 667623 940137 1254322 1335246 1880274 1881483 2447951 3447169 3762966 4895902 6894338 6898771 7343853 10341507 13797542 14687706 18592289 20683014 20696313 37184578 41392626 55776867 75886481 111553734 151772962 204515179 227659443 409030358 455318886 576360959 613545537 1152721918 1227091074 1729082877 2249666969 3458165754 4499333938 6339970549 6749000907 12679941098 13498001814 19019911647 38039823294 69739676039 139479352078 209219028117 418438056234