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11343411042432 = 27374220018989
BaseRepresentation
bin1010010100010001011111…
…1111000101100010000000
31111011102022211010011002220
42211010113333011202000
52441322301211324212
640043031402011040
72250351204654630
oct245042777054200
944142284104086
1011343411042432
1136837938a1987
1213325194a6a80
136438a9bc6201
142b3049cc86c0
1514a10503938c
hexa5117fc5880

11343411042432 has 64 divisors (see below), whose sum is σ = 34435354958400. Its totient is φ = 3240974582784.

The previous prime is 11343411042329. The next prime is 11343411042437. The reversal of 11343411042432 is 23424011434311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 11343411042393 and 11343411042402.

It is not an unprimeable number, because it can be changed into a prime (11343411042437) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2110006807 + ... + 2110012182.

It is an arithmetic number, because the mean of its divisors is an integer number (538052421225).

Almost surely, 211343411042432 is an apocalyptic number.

11343411042432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11343411042432 is an abundant number, since it is smaller than the sum of its proper divisors (23091943915968).

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

11343411042432 is an equidigital number, since it uses as much as digits as its factorization.

11343411042432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4220019013 (or 4220019001 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 11343411042432 its reverse (23424011434311), we get a palindrome (34767422476743).

The spelling of 11343411042432 in words is "eleven trillion, three hundred forty-three billion, four hundred eleven million, forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 4220018989 8440037978 12660056967 16880075956 25320113934 29540132923 33760151912 50640227868 59080265846 67520303824 88620398769 101280455736 118160531692 135040607648 177240797538 202560911472 236321063384 270081215296 354481595076 405121822944 472642126768 540162430592 708963190152 810243645888 945284253536 1417926380304 1620487291776 1890568507072 2835852760608 3781137014144 5671705521216 11343411042432