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4308680142 = 23613317333
BaseRepresentation
bin1000000001101000…
…10011110111001110
3102010021112122000000
410000310103313032
532311010231032
61551313545130
7211526114454
oct40064236716
912107478000
104308680142
111911157188
12a02b751a6
1353886b3a0
142cc3469d4
151a33eae7c
hex100d13dce

4308680142 has 112 divisors (see below), whose sum is σ = 10773587328. Its totient is φ = 1282806720.

The previous prime is 4308680093. The next prime is 4308680171. The reversal of 4308680142 is 2410868034.

4308680142 is a `hidden beast` number, since 430 + 8 + 6 + 80 + 142 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4308680097 and 4308680106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 583908 + ... + 591240.

It is an arithmetic number, because the mean of its divisors is an integer number (96192744).

Almost surely, 24308680142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4308680142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5386793664).

4308680142 is an abundant number, since it is smaller than the sum of its proper divisors (6464907186).

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

4308680142 is a wasteful number, since it uses less digits than its factorization.

4308680142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7397 (or 7382 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4308680142 is about 65640.5373378372. The cubic root of 4308680142 is about 1627.2267875808.

The spelling of 4308680142 in words is "four billion, three hundred eight million, six hundred eighty thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 31 39 54 62 78 81 93 117 162 186 234 243 279 351 403 486 558 702 729 806 837 1053 1209 1458 1674 2106 2418 2511 3159 3627 5022 6318 7254 7333 7533 9477 10881 14666 15066 18954 21762 21999 22599 32643 43998 45198 65286 65997 95329 97929 131994 190658 195858 197991 227323 285987 293787 395982 454646 571974 587574 593973 681969 857961 1187946 1363938 1715922 1781919 2045907 2573883 2955199 3563838 4091814 5147766 5345757 5910398 6137721 7721649 8865597 10691514 12275442 15443298 17731194 18413163 23164947 26596791 36826326 46329894 53193582 55239489 69494841 79790373 110478978 138989682 159580746 165718467 239371119 331436934 478742238 718113357 1436226714 2154340071 4308680142