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4010308929 = 321121921012
BaseRepresentation
bin1110111100001000…
…0111010101000001
3101100111002210122100
43233002013111001
531203114341204
61501534501013
7201244030524
oct35702072501
911314083570
104010308929
111778795500
1293b064769
134bbac0a83
142a0878bbb
1518710ea39
hexef087541

4010308929 has 81 divisors (see below), whose sum is σ = 6787090947. Its totient is φ = 2279772000.

The previous prime is 4010308903. The next prime is 4010308937. The reversal of 4010308929 is 9298030104.

The square root of 4010308929 is 63327.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3853057329 + 157251600 = 62073^2 + 12540^2 .

It is not a de Polignac number, because 4010308929 - 213 = 4010300737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4010308893 and 4010308902.

It is not an unprimeable number, because it can be changed into a prime (4010308969) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 39705979 + ... + 39706079.

Almost surely, 24010308929 is an apocalyptic number.

4010308929 is the 63327-th square number.

4010308929 is the 31664-th centered octagonal number.

It is an amenable number.

4010308929 is a deficient number, since it is larger than the sum of its proper divisors (2776782018).

4010308929 is a wasteful number, since it uses less digits than its factorization.

4010308929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The cubic root of 4010308929 is about 1588.7635825134.

Multiplying 4010308929 by its sum of digits (36), we get a square (144371121444 = 3799622).

The spelling of 4010308929 in words is "four billion, ten million, three hundred eight thousand, nine hundred twenty-nine".

Divisors: 1 3 9 11 19 33 57 99 101 121 171 209 303 361 363 627 909 1083 1089 1111 1881 1919 2299 3249 3333 3971 5757 6897 9999 10201 11913 12221 17271 20691 21109 30603 35739 36461 36663 43681 63327 91809 109383 109989 112211 131043 189981 193819 232199 328149 336633 393129 401071 581457 696597 1009899 1203213 1234321 1744371 2089791 2132009 3609639 3682561 3702963 4411781 6396027 11047683 11108889 13235343 19188081 23452099 33143049 39706029 40508171 70356297 121524513 211068891 364573539 445589881 1336769643 4010308929