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4417014030 = 23511137913033
BaseRepresentation
bin1000001110100011…
…00100100100001110
3102101211101120011020
410013101210210032
533021223422110
62010143535010
7214312666632
oct40721444416
912354346136
104417014030
111967320020
12a332ba466
1355513c290
142dc8a6dc2
151acb99d70
hex10746490e

4417014030 has 128 divisors (see below), whose sum is σ = 12612741120. Its totient is φ = 975836160.

The previous prime is 4417013971. The next prime is 4417014031. The reversal of 4417014030 is 304107144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4417014031) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 332394 + ... + 345426.

It is an arithmetic number, because the mean of its divisors is an integer number (98537040).

Almost surely, 24417014030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4417014030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6306370560).

4417014030 is an abundant number, since it is smaller than the sum of its proper divisors (8195727090).

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

4417014030 is a wasteful number, since it uses less digits than its factorization.

4417014030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13146.

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 4417014030 is about 66460.6201445638. The cubic root of 4417014030 is about 1640.7519392902.

The spelling of 4417014030 in words is "four billion, four hundred seventeen million, fourteen thousand, thirty".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 78 79 110 130 143 158 165 195 237 286 330 390 395 429 474 715 790 858 869 1027 1185 1430 1738 2054 2145 2370 2607 3081 4290 4345 5135 5214 6162 8690 10270 11297 13033 13035 15405 22594 26066 26070 30810 33891 39099 56485 65165 67782 78198 112970 130330 143363 169429 169455 195495 286726 338858 338910 390990 430089 508287 716815 847145 860178 1016574 1029607 1433630 1694290 1863719 2059214 2150445 2541435 3088821 3727438 4300890 5082870 5148035 5591157 6177642 9318595 10296070 11182314 11325677 13384891 15444105 18637190 22651354 26769782 27955785 30888210 33977031 40154673 55911570 56628385 66924455 67954062 80309346 113256770 133848910 147233801 169885155 200773365 294467602 339770310 401546730 441701403 736169005 883402806 1472338010 2208507015 4417014030