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424440420660 = 22335911862789
BaseRepresentation
bin1100010110100101001…
…11101101100100110100
31111120112222112101021000
412023102213231210310
523423223221430120
6522552451123300
742444013022514
oct6132247554464
91446488471230
10424440420660
11154005609163
126a3142a3530
1331041c5c109
14167860c5844
15b0923d4990
hex62d29ed934

424440420660 has 96 divisors (see below), whose sum is σ = 1321932326400. Its totient is φ = 113059739520.

The previous prime is 424440420637. The next prime is 424440420661. The reversal of 424440420660 is 66024044424.

424440420660 is a `hidden beast` number, since 4 + 2 + 4 + 440 + 4 + 206 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424440420661) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60546 + ... + 923334.

It is an arithmetic number, because the mean of its divisors is an integer number (13770128400).

Almost surely, 2424440420660 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 424440420660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660966163200).

424440420660 is an abundant number, since it is smaller than the sum of its proper divisors (897491905740).

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

424440420660 is a wasteful number, since it uses less digits than its factorization.

424440420660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863718 (or 863710 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 424440420660 in words is "four hundred twenty-four billion, four hundred forty million, four hundred twenty thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 911 1822 2733 3644 4555 5466 8199 9110 10932 13665 16398 18220 24597 27330 32796 40995 49194 54660 81990 98388 122985 163980 245970 491940 862789 1725578 2588367 3451156 4313945 5176734 7765101 8627890 10353468 12941835 15530202 17255780 23295303 25883670 31060404 38825505 46590606 51767340 77651010 93181212 116476515 155302020 232953030 465906060 786000779 1572001558 2358002337 3144003116 3930003895 4716004674 7074007011 7860007790 9432009348 11790011685 14148014022 15720015580 21222021033 23580023370 28296028044 35370035055 42444042066 47160046740 70740070110 84888084132 106110105165 141480140220 212220210330 424440420660