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424425024216240 = 243513155192446009
BaseRepresentation
bin110000010000000110010011…
…0110011010101110010110000
32001122202122011200110120222020
41200200030212303111302300
5421112234422144404430
64102402055303111440
7155253460521132135
oct14040144663256260
92048678150416866
10424425024216240
11113264707483743
123b7284b5a42580
13152a9153500298
1476b43d065658c
153410407720b10
hex1820326cd5cb0

424425024216240 has 160 divisors (see below), whose sum is σ = 1326001980441600. Its totient is φ = 112295640238080.

The previous prime is 424425024216229. The next prime is 424425024216251. The reversal of 424425024216240 is 42612420524424.

It is an interprime number because it is at equal distance from previous prime (424425024216229) and next prime (424425024216251).

It is a junction number, because it is equal to n+sod(n) for n = 424425024216192 and 424425024216201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172294356 + ... + 174740364.

It is an arithmetic number, because the mean of its divisors is an integer number (8287512377760).

Almost surely, 2424425024216240 is an apocalyptic number.

424425024216240 is a gapful number since it is divisible by the number (40) 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 424425024216240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663000990220800).

424425024216240 is an abundant number, since it is smaller than the sum of its proper divisors (901576956225360).

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

424425024216240 is a wasteful number, since it uses less digits than its factorization.

424425024216240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2451675 (or 2451669 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 42.

The spelling of 424425024216240 in words is "four hundred twenty-four trillion, four hundred twenty-five billion, twenty-four million, two hundred sixteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 131 240 262 393 524 655 786 1048 1310 1572 1965 2096 2620 3144 3930 5240 5519 6288 7860 10480 11038 15720 16557 22076 27595 31440 33114 44152 55190 66228 82785 88304 110380 132456 165570 220760 264912 331140 441520 662280 722989 1324560 1445978 2168967 2446009 2891956 3614945 4337934 4892018 5783912 7229890 7338027 8675868 9784036 10844835 11567824 12230045 14459780 14676054 17351736 19568072 21689670 24460090 28919560 29352108 34703472 36690135 39136144 43379340 48920180 57839120 58704216 73380270 86758680 97840360 117408432 146760540 173517360 195680720 293521080 320427179 587042160 640854358 961281537 1281708716 1602135895 1922563074 2563417432 3204271790 3845126148 4806407685 5126834864 6408543580 7690252296 9612815370 12817087160 13499523671 15380504592 19225630740 25634174320 26999047342 38451261480 40498571013 53998094684 67497618355 76902522960 80997142026 107996189368 134995236710 161994284052 202492855065 215992378736 269990473420 323988568104 404985710130 539980946840 647977136208 809971420260 1079961893680 1619942840520 1768437600901 3239885681040 3536875201802 5305312802703 7073750403604 8842188004505 10610625605406 14147500807208 17684376009010 21221251210812 26526564013515 28295001614416 35368752018020 42442502421624 53053128027030 70737504036040 84885004843248 106106256054060 141475008072080 212212512108120 424425024216240