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4291300040 = 2351813971493
BaseRepresentation
bin1111111111001000…
…0000101011001000
3102002001211121222112
43333302000223020
532242033100130
61545453241452
7211225306556
oct37762005310
912061747875
104291300040
111902366265
129b9193288
135350945c1
142c9d00bd6
151a1b16495
hexffc80ac8

4291300040 has 64 divisors (see below), whose sum is σ = 9739744560. Its totient is φ = 1701596160.

The previous prime is 4291300037. The next prime is 4291300087. The reversal of 4291300040 is 400031924.

4291300040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1661866756 + 2629433284 = 40766^2 + 51278^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4291299979 and 4291300015.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2873534 + ... + 2875026.

Almost surely, 24291300040 is an apocalyptic number.

4291300040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4291300040 is an abundant number, since it is smaller than the sum of its proper divisors (5448444520).

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

4291300040 is a wasteful number, since it uses less digits than its factorization.

4291300040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2082 (or 2078 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 4291300040 is about 65508.0150821256. The cubic root of 4291300040 is about 1625.0359016920.

Adding to 4291300040 its reverse (400031924), we get a palindrome (4691331964).

The spelling of 4291300040 in words is "four billion, two hundred ninety-one million, three hundred thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 181 362 397 724 794 905 1448 1493 1588 1810 1985 2986 3176 3620 3970 5972 7240 7465 7940 11944 14930 15880 29860 59720 71857 143714 270233 287428 359285 540466 574856 592721 718570 1080932 1185442 1351165 1437140 2161864 2370884 2702330 2874280 2963605 4741768 5404660 5927210 10809320 11854420 23708840 107282501 214565002 429130004 536412505 858260008 1072825010 2145650020 4291300040