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4310023040 = 27513948449
BaseRepresentation
bin1000000001110010…
…11011101110000000
3102010101001212002222
410000321123232000
532311331214130
61551402430212
7211543406561
oct40071335600
912111055088
104310023040
111911994114
12a03502368
13538c1b6bb
142cc5b6168
151a35b3ce5
hex100e5bb80

4310023040 has 64 divisors (see below), whose sum is σ = 10377990000. Its totient is φ = 1711570944.

The previous prime is 4310023027. The next prime is 4310023097. The reversal of 4310023040 is 403200134.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64736 + ... + 113184.

Almost surely, 24310023040 is an apocalyptic number.

4310023040 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 4310023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5188995000).

4310023040 is an abundant number, since it is smaller than the sum of its proper divisors (6067966960).

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

4310023040 is a wasteful number, since it uses less digits than its factorization.

4310023040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48607 (or 48595 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 4310023040 is about 65650.7657228764. The cubic root of 4310023040 is about 1627.3958240795.

Adding to 4310023040 its reverse (403200134), we get a palindrome (4713223174).

The spelling of 4310023040 in words is "four billion, three hundred ten million, twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 139 160 278 320 556 640 695 1112 1390 2224 2780 4448 5560 8896 11120 17792 22240 44480 48449 88960 96898 193796 242245 387592 484490 775184 968980 1550368 1937960 3100736 3875920 6201472 6734411 7751840 13468822 15503680 26937644 31007360 33672055 53875288 67344110 107750576 134688220 215501152 269376440 431002304 538752880 862004608 1077505760 2155011520 4310023040