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10030432410414 = 234137983726367
BaseRepresentation
bin1001000111110110010001…
…0111000101101100101110
31022111220022002011212210000
42101331210113011230232
52303314311144113124
633155530025125130
72053450315513023
oct221754427055456
938456262155700
1010030432410414
11321797866a429
12115bb6b6297a6
13579b33c9c070
14269692b7754a
15125dab9d36c9
hex91f645c5b2e

10030432410414 has 160 divisors (see below), whose sum is σ = 24806222622720. Its totient is φ = 3010502334528.

The previous prime is 10030432410407. The next prime is 10030432410421. The reversal of 10030432410414 is 41401423403001.

10030432410414 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 0 + 4 + 3 + 241 + 0 + 414 = 666.

It is an interprime number because it is at equal distance from previous prime (10030432410407) and next prime (10030432410421).

It is a super-2 number, since 2×100304324104142 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13445859 + ... + 14172225.

It is an arithmetic number, because the mean of its divisors is an integer number (155038891392).

Almost surely, 210030432410414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10030432410414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12403111311360).

10030432410414 is an abundant number, since it is smaller than the sum of its proper divisors (14775790212306).

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

10030432410414 is a wasteful number, since it uses less digits than its factorization.

10030432410414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726556 (or 726547 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 10030432410414 its reverse (41401423403001), we get a palindrome (51431855813415).

The spelling of 10030432410414 in words is "ten trillion, thirty billion, four hundred thirty-two million, four hundred ten thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 79 81 83 117 158 162 166 234 237 249 351 474 498 702 711 747 1027 1053 1079 1422 1494 2054 2106 2133 2158 2241 3081 3237 4266 4482 6162 6399 6474 6557 6723 9243 9711 12798 13114 13446 18486 19422 19671 27729 29133 39342 55458 58266 59013 83187 85241 87399 118026 166374 170482 174798 177039 255723 354078 511446 531117 726367 767169 1062234 1452734 1534338 2179101 2301507 4358202 4603014 6537303 6904521 9442771 13074606 13809042 18885542 19611909 28328313 39223818 56656626 57382993 58835727 60288461 84984939 114765986 117671454 120576922 169969878 172148979 180865383 254954817 344297958 361730766 509909634 516446937 542596149 745978909 764864451 783749993 1032893874 1085192298 1491957818 1529728902 1549340811 1567499986 1627788447 2237936727 2351249979 3098681622 3255576894 4475873454 4648022433 4702499958 4762788419 4883365341 6713810181 7053749937 9296044866 9525576838 9766730682 13427620362 14107499874 14288365257 20141430543 21161249811 28576730514 40282861086 42322499622 42865095771 60424291629 61916249447 63483749433 85730191542 120848583258 123832498894 126967498866 128595287313 185748748341 257190574626 371497496682 385785861939 557246245023 771571723878 1114492490046 1671738735069 3343477470138 5015216205207 10030432410414