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418023141848 = 231319617342869
BaseRepresentation
bin1100001010101000001…
…11101111000111011000
31110221222202021211122222
412011110013233013120
523322102411014343
6520012010403212
742126001036034
oct6052407570730
91427882254588
10418023141848
11151312190654
1269023130508
133055b5b2110
1416337ad51c4
15ad18d23a68
hex61541ef1d8

418023141848 has 64 divisors (see below), whose sum is σ = 889953372000. Its totient is φ = 182482578432.

The previous prime is 418023141799. The next prime is 418023141869. The reversal of 418023141848 is 848141320814.

It is a junction number, because it is equal to n+sod(n) for n = 418023141799 and 418023141808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1047758 + ... + 1390626.

Almost surely, 2418023141848 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 418023141848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444976686000).

418023141848 is an abundant number, since it is smaller than the sum of its proper divisors (471930230152).

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

418023141848 is a wasteful number, since it uses less digits than its factorization.

418023141848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343524 (or 343520 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 44.

The spelling of 418023141848 in words is "four hundred eighteen billion, twenty-three million, one hundred forty-one thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 152 247 494 617 988 1234 1976 2468 4936 8021 11723 16042 23446 32084 46892 64168 93784 152399 304798 342869 609596 685738 1219192 1371476 2742952 4457297 6514511 8914594 13029022 17829188 26058044 35658376 52116088 84688643 169377286 211550173 338754572 423100346 677509144 846200692 1692401384 2750152249 4019453287 5500304498 8038906574 11000608996 16077813148 22001217992 32155626296 52252892731 104505785462 209011570924 418023141848