Search a number
-
+
11434334444401 = 1141472711990523
BaseRepresentation
bin1010011001100100001101…
…1100010101101101110001
31111111010000102112112121011
42212121003130111231301
52444320004104210101
640152505530030521
72260050316065331
oct246310334255561
944433012475534
1011434334444401
1137093017795a0
121348073578441
1364c33a11688b
142b75d36b50c1
1514c6774b6751
hexa6643715b71

11434334444401 has 32 divisors (see below), whose sum is σ = 13098093797376. Its totient is φ = 9888913296000.

The previous prime is 11434334444369. The next prime is 11434334444411. The reversal of 11434334444401 is 10444443343411.

11434334444401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 11434334444401 - 25 = 11434334444369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11434334444411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4749126 + ... + 6739648.

It is an arithmetic number, because the mean of its divisors is an integer number (409315431168).

Almost surely, 211434334444401 is an apocalyptic number.

11434334444401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11434334444401 is a deficient number, since it is larger than the sum of its proper divisors (1663759352975).

11434334444401 is a wasteful number, since it uses less digits than its factorization.

11434334444401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1990893.

The product of its (nonzero) digits is 442368, while the sum is 40.

Adding to 11434334444401 its reverse (10444443343411), we get a palindrome (21878777787812).

The spelling of 11434334444401 in words is "eleven trillion, four hundred thirty-four billion, three hundred thirty-four million, four hundred forty-four thousand, four hundred one".

Divisors: 1 11 41 47 271 451 517 1927 2981 11111 12737 21197 122221 140107 522217 1990523 5744387 21895753 81611443 93554581 539431733 897725873 1029100391 3835737821 5933749063 22116701053 25353291451 42193116031 243283711583 278886205961 1039484949491 11434334444401