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4213430124432 = 2434718113197823
BaseRepresentation
bin111101010100000100000…
…000010111111110010000
3112220210121012010101200120
4331110010000113332100
51023013101102440212
612543342330150240
7613260504063624
oct75240400277620
915823535111616
104213430124432
1113849a6509061
12580711282380
1324742b6476a9
14107d06d53184
15749034e588c
hex3d504017f90

4213430124432 has 160 divisors (see below), whose sum is σ = 11187603947520. Its totient is φ = 1365788782080.

The previous prime is 4213430124403. The next prime is 4213430124481. The reversal of 4213430124432 is 2344210343124.

It is a junction number, because it is equal to n+sod(n) for n = 4213430124393 and 4213430124402.

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, 538591273 + ... + 538599095.

It is an arithmetic number, because the mean of its divisors is an integer number (69922524672).

Almost surely, 24213430124432 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 4213430124432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5593801973760).

4213430124432 is an abundant number, since it is smaller than the sum of its proper divisors (6974173823088).

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

4213430124432 is a wasteful number, since it uses less digits than its factorization.

4213430124432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9381 (or 9375 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 4213430124432 its reverse (2344210343124), we get a palindrome (6557640467556).

The spelling of 4213430124432 in words is "four trillion, two hundred thirteen billion, four hundred thirty million, one hundred twenty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 181 188 282 362 376 543 564 724 752 1086 1128 1319 1448 2172 2256 2638 2896 3957 4344 5276 7823 7914 8507 8688 10552 15646 15828 17014 21104 23469 25521 31292 31656 34028 46938 51042 61993 62584 63312 68056 93876 102084 123986 125168 136112 185979 187752 204168 238739 247972 367681 371958 375504 408336 477478 495944 716217 735362 743916 954956 991888 1103043 1415963 1432434 1470724 1487832 1909912 2206086 2831926 2864868 2941448 2975664 3819824 4247889 4412172 5663852 5729736 5882896 8495778 8824344 10318537 11220733 11327704 11459472 16991556 17648688 20637074 22441466 22655408 30955611 33662199 33983112 41274148 44882932 61911222 66550261 67324398 67966224 82548296 89765864 123822444 133100522 134648796 165096592 179531728 199650783 247644888 266201044 269297592 399301566 484971239 495289776 532402088 538595184 798603132 969942478 1064804176 1454913717 1597206264 1867655197 1939884956 2909827434 3194412528 3735310394 3879769912 5602965591 5819654868 7470620788 7759539824 11205931182 11639309736 14941241576 22411862364 23278619472 29882483152 44823724728 87779794259 89647449456 175559588518 263339382777 351119177036 526678765554 702238354072 1053357531108 1404476708144 2106715062216 4213430124432