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56141463042 = 234761780239
BaseRepresentation
bin110100010010010010…
…101011111000000010
312100220121001211010000
4310102102223320002
51404434203304132
641442510220430
74025144363550
oct642222537002
9170817054100
1056141463042
112189a435145
12aa697b4716
1353a9238a22
142a08244bd0
1516d8b2287c
hexd124abe02

56141463042 has 80 divisors (see below), whose sum is σ = 144004481280. Its totient is φ = 16014220992.

The previous prime is 56141463029. The next prime is 56141463061. The reversal of 56141463042 is 24036414165.

56141463042 is a `hidden beast` number, since 5 + 6 + 1 + 4 + 14 + 630 + 4 + 2 = 666.

It is a super-3 number, since 3×561414630423 (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 56141462988 and 56141463006.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 659559 + ... + 739797.

It is an arithmetic number, because the mean of its divisors is an integer number (1800056016).

Almost surely, 256141463042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56141463042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72002240640).

56141463042 is an abundant number, since it is smaller than the sum of its proper divisors (87863018238).

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

56141463042 is a wasteful number, since it uses less digits than its factorization.

56141463042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80877 (or 80868 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 56141463042 in words is "fifty-six billion, one hundred forty-one million, four hundred sixty-three thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 567 617 1134 1234 1851 3702 4319 5553 8638 11106 12957 16659 25914 33318 38871 49977 77742 80239 99954 116613 160478 233226 240717 349839 481434 561673 699678 722151 1123346 1444302 1685019 2166453 3370038 4332906 5055057 6499359 10110114 12998718 15165171 30330342 45495513 49507463 90991026 99014926 148522389 297044778 346552241 445567167 693104482 891134334 1039656723 1336701501 2079313446 2673403002 3118970169 4010104503 6237940338 8020209006 9356910507 18713821014 28070731521 56141463042