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5240623430432 = 2513172239182387
BaseRepresentation
bin100110001000010110101…
…1111110111101100100000
3200112222222001112220012002
41030100231133313230200
51141330244044233212
615051301551423132
71050423351113315
oct114205537675440
920488861486162
105240623430432
111740599338265
12707802224aa8
132c025b676230
1414190cb5ad0c
15914c2277ac2
hex4c42d7f7b20

5240623430432 has 144 divisors (see below), whose sum is σ = 11852622794880. Its totient is φ = 2266932498432.

The previous prime is 5240623430431. The next prime is 5240623430437. The reversal of 5240623430432 is 2340343260425.

It is not an unprimeable number, because it can be changed into a prime (5240623430431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28642343 + ... + 28824729.

It is an arithmetic number, because the mean of its divisors is an integer number (82309880520).

Almost surely, 25240623430432 is an apocalyptic number.

5240623430432 is a gapful number since it is divisible by the number (52) 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 5240623430432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5926311397440).

5240623430432 is an abundant number, since it is smaller than the sum of its proper divisors (6611999364448).

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

5240623430432 is a wasteful number, since it uses less digits than its factorization.

5240623430432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182683 (or 182658 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 38.

Adding to 5240623430432 its reverse (2340343260425), we get a palindrome (7580966690857).

The spelling of 5240623430432 in words is "five trillion, two hundred forty billion, six hundred twenty-three million, four hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 239 272 289 416 442 478 544 578 884 956 1156 1768 1912 2312 3107 3536 3757 3824 4063 4624 6214 7072 7514 7648 8126 9248 12428 15028 16252 24856 30056 32504 49712 52819 60112 65008 69071 99424 105638 120224 130016 138142 182387 211276 276284 364774 422552 552568 729548 845104 897923 1105136 1459096 1690208 1795846 2210272 2371031 2918192 3100579 3591692 4742062 5836384 6201158 7183384 9484124 12402316 14366768 18968248 24804632 28733536 37936496 40307527 43590493 49609264 52709843 75872992 80615054 87180986 99218528 105419686 161230108 174361972 210839372 322460216 348723944 421678744 566676409 644920432 685227959 697447888 741038381 843357488 1133352818 1289840864 1370455918 1394895776 1482076762 1686714976 2266705636 2740911836 2964153524 4533411272 5481823672 5928307048 9066822544 9633498953 10963647344 11856614096 12597652477 18133645088 19266997906 21927294688 23713228192 25195304954 38533995812 50390609908 77067991624 100781219816 154135983248 163769482201 201562439632 308271966496 327538964402 403124879264 655077928804 1310155857608 2620311715216 5240623430432