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11434131104 = 2511139233693
BaseRepresentation
bin10101010011000011…
…01111111010100000
31002111212100001011012
422221201233322200
5141404114143404
65130333040052
7553230340124
oct125141577240
932455301135
1011434131104
1149382a5a30
122271326028
131102b59366
147a67db584
1546dc45a6e
hex2a986fea0

11434131104 has 48 divisors (see below), whose sum is σ = 24734172960. Its totient is φ = 5159919360.

The previous prime is 11434131103. The next prime is 11434131157. The reversal of 11434131104 is 40113143411.

11434131104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11434131104.

It is not an unprimeable number, because it can be changed into a prime (11434131101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67919 + ... + 165774.

It is an arithmetic number, because the mean of its divisors is an integer number (515295270).

Almost surely, 211434131104 is an apocalyptic number.

It is an amenable number.

11434131104 is an abundant number, since it is smaller than the sum of its proper divisors (13300041856).

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

11434131104 is a wasteful number, since it uses less digits than its factorization.

11434131104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233853 (or 233845 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 11434131104 its reverse (40113143411), we get a palindrome (51547274515).

The spelling of 11434131104 in words is "eleven billion, four hundred thirty-four million, one hundred thirty-one thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 88 139 176 278 352 556 1112 1529 2224 3058 4448 6116 12232 24464 48928 233693 467386 934772 1869544 2570623 3739088 5141246 7478176 10282492 20564984 32483327 41129968 64966654 82259936 129933308 259866616 357316597 519733232 714633194 1039466464 1429266388 2858532776 5717065552 11434131104