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10414441444 = 221133189709
BaseRepresentation
bin10011011001011111…
…11100001111100100
3222212210121102220111
421230233330033210
5132312044111234
64441225342404
7516036202021
oct115457741744
928783542814
1010414441444
114464754000
122027937a04
13c9c8170b4
1470b206548
1540e475664
hex26cbfc3e4

10414441444 has 96 divisors (see below), whose sum is σ = 20955110400. Its totient is φ = 4523270400.

The previous prime is 10414441409. The next prime is 10414441493. The reversal of 10414441444 is 44414441401.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14688562 + ... + 14689270.

It is an arithmetic number, because the mean of its divisors is an integer number (218282400).

Almost surely, 210414441444 is an apocalyptic number.

It is an amenable number.

10414441444 is an abundant number, since it is smaller than the sum of its proper divisors (10540668956).

10414441444 is a wasteful number, since it uses less digits than its factorization.

10414441444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 31.

Adding to 10414441444 its reverse (44414441401), we get a palindrome (54828882845).

The spelling of 10414441444 in words is "ten billion, four hundred fourteen million, four hundred forty-one thousand, four hundred forty-four".

Divisors: 1 2 4 11 22 31 44 62 89 121 124 178 242 341 356 484 682 709 979 1331 1364 1418 1958 2662 2759 2836 3751 3916 5324 5518 7502 7799 10769 11036 15004 15598 21538 21979 30349 31196 41261 43076 43958 60698 63101 82522 85789 87916 118459 121396 126202 165044 171578 236918 241769 252404 333839 343156 473836 483538 667678 694111 943679 967076 1335356 1388222 1887358 1956131 2659459 2776444 3672229 3774716 3912262 5318918 7344458 7635221 7824524 10637836 14688916 15270442 21517441 29254049 30540884 43034882 58508098 83987431 86069764 117016196 167974862 236691851 335949724 473383702 946767404 2603610361 5207220722 10414441444