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424222140132 = 2235779789227
BaseRepresentation
bin1100010110001011001…
…11000010011011100100
31111112222202210120200000
412023011213002123210
523422301331441012
6522515052421300
742435422460240
oct6130547023344
91445882716600
10424222140132
11153a0337a82a
126a273177830
133100897423b
1416765105420
15b07d168ddc
hex62c59c26e4

424222140132 has 144 divisors (see below), whose sum is σ = 1287009884160. Its totient is φ = 119671916832.

The previous prime is 424222140113. The next prime is 424222140137. The reversal of 424222140132 is 231041222424.

It is a happy number.

424222140132 is a `hidden beast` number, since 4 + 2 + 4 + 2 + 221 + 401 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 424222140096 and 424222140105.

It is not an unprimeable number, because it can be changed into a prime (424222140137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142903 + ... + 932129.

It is an arithmetic number, because the mean of its divisors is an integer number (8937568640).

Almost surely, 2424222140132 is an apocalyptic number.

424222140132 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424222140132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643504942080).

424222140132 is an abundant number, since it is smaller than the sum of its proper divisors (862787744028).

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

424222140132 is a wasteful number, since it uses less digits than its factorization.

424222140132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789332 (or 789318 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 424222140132 its reverse (231041222424), we get a palindrome (655263362556).

The spelling of 424222140132 in words is "four hundred twenty-four billion, two hundred twenty-two million, one hundred forty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 79 81 84 108 126 158 162 189 237 243 252 316 324 378 474 486 553 567 711 756 948 972 1106 1134 1422 1659 1701 2133 2212 2268 2844 3318 3402 4266 4977 6399 6636 6804 8532 9954 12798 14931 19197 19908 25596 29862 38394 44793 59724 76788 89586 134379 179172 268758 537516 789227 1578454 2367681 3156908 4735362 5524589 7103043 9470724 11049178 14206086 16573767 21309129 22098356 28412172 33147534 42618258 49721301 62348933 63927387 66295068 85236516 99442602 124697866 127854774 149163903 187046799 191782161 198885204 249395732 255709548 298327806 374093598 383564322 436442531 447491709 561140397 596655612 748187196 767128644 872885062 894983418 1122280794 1309327593 1342475127 1683421191 1745770124 1789966836 2244561588 2618655186 2684950254 3366842382 3927982779 5050263573 5237310372 5369900508 6733684764 7855965558 10100527146 11783948337 15150790719 15711931116 20201054292 23567896674 30301581438 35351845011 47135793348 60603162876 70703690022 106055535033 141407380044 212111070066 424222140132