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14211135444 = 22311315096823
BaseRepresentation
bin11010011110000110…
…01011011111010100
31100200101202110221210
431033003023133110
5213101022313234
610310053541420
71012110441522
oct151703133724
940611673853
1014211135444
1160328a7440
122907344870
1314562947ac
1498b557312
1558293bbe9
hex34f0cb7d4

14211135444 has 96 divisors (see below), whose sum is σ = 37419540480. Its totient is φ = 4158691200.

The previous prime is 14211135439. The next prime is 14211135457. The reversal of 14211135444 is 44453111241.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2079417 + ... + 2086239.

It is an arithmetic number, because the mean of its divisors is an integer number (389786880).

Almost surely, 214211135444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14211135444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18709770240).

14211135444 is an abundant number, since it is smaller than the sum of its proper divisors (23208405036).

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

14211135444 is a wasteful number, since it uses less digits than its factorization.

14211135444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7381 (or 7379 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

Adding to 14211135444 its reverse (44453111241), we get a palindrome (58664246685).

The spelling of 14211135444 in words is "fourteen billion, two hundred eleven million, one hundred thirty-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 341 372 509 682 1018 1023 1364 1527 2036 2046 3054 4092 5599 6108 6823 11198 13646 15779 16797 20469 22396 27292 31558 33594 40938 47337 63116 67188 75053 81876 94674 150106 173569 189348 211513 225159 300212 347138 423026 450318 520707 634539 694276 846052 900636 1041414 1269078 2082828 2326643 2538156 3472907 4653286 6945814 6979929 9306572 10418721 13891628 13959858 20837442 27919716 38201977 41674884 76403954 107660117 114605931 152807908 215320234 229211862 322980351 430640468 458423724 645960702 1184261287 1291921404 2368522574 3552783861 4737045148 7105567722 14211135444