Search a number
-
+
14333134000410 = 234585720647873
BaseRepresentation
bin1101000010010011000101…
…0111000101000100011010
31212202020022202022121020000
43100210301113011010122
53334313224301003120
650252314552513430
73006351264546261
oct320446127050432
955666282277200
1014333134000410
11462671452a8a5
121735a356ab876
137cc7bb518754
14377a27d435d8
1519cc873e8990
hexd09315c511a

14333134000410 has 80 divisors (see below), whose sum is σ = 38585177692776. Its totient is φ = 3817708941312.

The previous prime is 14333134000399. The next prime is 14333134000411. The reversal of 14333134000410 is 1400043133341.

It can be written as a sum of positive squares in 4 ways, for example, as 14095211500881 + 237922499529 = 3754359^2 + 487773^2 .

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

It is not an unprimeable number, because it can be changed into a prime (14333134000411) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9629767 + ... + 11018106.

Almost surely, 214333134000410 is an apocalyptic number.

14333134000410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14333134000410 is an abundant number, since it is smaller than the sum of its proper divisors (24252043692366).

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

14333134000410 is a wasteful number, since it uses less digits than its factorization.

14333134000410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20648749 (or 20648740 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 14333134000410 its reverse (1400043133341), we get a palindrome (15733177133751).

The spelling of 14333134000410 in words is "fourteen trillion, three hundred thirty-three billion, one hundred thirty-four million, four hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 857 1714 2571 4285 5142 7713 8570 12855 15426 23139 25710 38565 46278 69417 77130 115695 138834 231390 347085 694170 20647873 41295746 61943619 103239365 123887238 185830857 206478730 309718095 371661714 557492571 619436190 929154285 1114985142 1672477713 1858308570 2787462855 3344955426 5574925710 8362388565 16724777130 17695227161 35390454322 53085681483 88476135805 106171362966 159257044449 176952271610 265428407415 318514088898 477771133347 530856814830 796285222245 955542266694 1433313400041 1592570444490 2388855666735 2866626800082 4777711333470 7166567000205 14333134000410