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4243211432240 = 24511257139913411
BaseRepresentation
bin111101101111110011000…
…111000011000100110000
3120000122110200220120202212
4331233303013003010300
51024010044111312430
613005145431031252
7615363510034124
oct75576307030460
916018420816685
104243211432240
111396599262440
12586442b0b528
1324a19660c411
14109530311584
1575597d21b95
hex3dbf31c3130

4243211432240 has 160 divisors (see below), whose sum is σ = 10812732940800. Its totient is φ = 1535768985600.

The previous prime is 4243211432221. The next prime is 4243211432263. The reversal of 4243211432240 is 422341123424.

It is a happy number.

It is a super-2 number, since 2×42432114322402 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4243211432197 and 4243211432206.

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, 316391135 + ... + 316404545.

It is an arithmetic number, because the mean of its divisors is an integer number (67579580880).

Almost surely, 24243211432240 is an apocalyptic number.

4243211432240 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 4243211432240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5406366470400).

4243211432240 is an abundant number, since it is smaller than the sum of its proper divisors (6569521508560).

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

4243211432240 is a wasteful number, since it uses less digits than its factorization.

4243211432240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15091 (or 15085 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 4243211432240 its reverse (422341123424), we get a palindrome (4665552555664).

The spelling of 4243211432240 in words is "four trillion, two hundred forty-three billion, two hundred eleven million, four hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 257 440 514 880 1028 1285 1399 2056 2570 2798 2827 4112 5140 5596 5654 6995 10280 11192 11308 13411 13990 14135 15389 20560 22384 22616 26822 27980 28270 30778 45232 53644 55960 56540 61556 67055 76945 107288 111920 113080 123112 134110 147521 153890 214576 226160 246224 268220 295042 307780 359543 536440 590084 615560 719086 737605 1072880 1180168 1231120 1438172 1475210 1797715 2360336 2876344 2950420 3446627 3595430 3954973 5752688 5900840 6893254 7190860 7909946 11801680 13786508 14381720 15819892 17233135 18761989 19774865 27573016 28763440 31639784 34466270 37523978 37912897 39549730 55146032 63279568 68932540 75047956 75825794 79099460 93809945 137865080 150095912 151651588 158198920 187619890 189564485 206381879 275730160 300191824 303303176 316397840 375239780 379128970 412763758 606606352 750479560 758257940 825527516 1031909395 1500959120 1516515880 1651055032 2063818790 3033031760 3302110064 4127637580 4821831173 8255275160 9643662346 16510550320 19287324692 24109155865 38574649384 48218311730 53040142903 77149298768 96436623460 106080285806 192873246920 212160571612 265200714515 385746493840 424321143224 530401429030 848642286448 1060802858060 2121605716120 4243211432240