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11343034440432 = 2432535573266687
BaseRepresentation
bin1010010100010000000110…
…0010011101101011110000
31111011101100120110210021200
42211010001202131223300
52441321013304043212
640042530150051200
72250335652623622
oct245040142355360
944141316423250
1011343034440432
113683610258262
121332433349b00
13643849b878a6
142b3011c94c12
1514a0d1e486dc
hexa510189daf0

11343034440432 has 120 divisors (see below), whose sum is σ = 32349624562944. Its totient is φ = 3708992082432.

The previous prime is 11343034440427. The next prime is 11343034440461. The reversal of 11343034440432 is 23404443034311.

11343034440432 is a `hidden beast` number, since 113 + 4 + 30 + 3 + 44 + 40 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42399793 + ... + 42666479.

Almost surely, 211343034440432 is an apocalyptic number.

11343034440432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11343034440432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16174812281472).

11343034440432 is an abundant number, since it is smaller than the sum of its proper divisors (21006590122512).

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

11343034440432 is a wasteful number, since it uses less digits than its factorization.

11343034440432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272327 (or 272318 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 11343034440432 its reverse (23404443034311), we get a palindrome (34747477474743).

The spelling of 11343034440432 in words is "eleven trillion, three hundred forty-three billion, thirty-four million, four hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 159 212 318 424 477 636 848 954 1272 1908 2544 3816 5573 7632 11146 16719 22292 33438 44584 50157 66876 89168 100314 133752 200628 266687 267504 295369 401256 533374 590738 800061 802512 886107 1066748 1181476 1600122 1772214 2133496 2362952 2400183 2658321 3200244 3544428 4266992 4725904 4800366 5316642 6400488 7088856 9600732 10633284 12800976 14134411 14177712 19201464 21266568 28268822 38402928 42403233 42533136 56537644 84806466 113075288 127209699 169612932 226150576 254419398 339225864 508838796 678451728 1017677592 1486246651 2035355184 2972493302 4458739953 5944986604 8917479906 11889973208 13376219859 17834959812 23779946416 26752439718 35669919624 53504879436 71339839248 78771072503 107009758872 157542145006 214019517744 236313217509 315084290012 472626435018 630168580024 708939652527 945252870036 1260337160048 1417879305054 1890505740072 2835758610108 3781011480144 5671517220216 11343034440432