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11414134420 = 2251349518867
BaseRepresentation
bin10101010000101010…
…11101111010010100
31002110110201002212021
422220111131322110
5141334004300140
65124340302524
7552565353553
oct125025357224
932413632767
1011414134420
114927a88147
1222666a1a44
1310cb9775c0
147a3cb3d9a
1546c0e5b4a
hex2a855de94

11414134420 has 48 divisors (see below), whose sum is σ = 25821629568. Its totient is φ = 4213123200.

The previous prime is 11414134411. The next prime is 11414134427. The reversal of 11414134420 is 2443141411.

11414134420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11414134427) 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 15 ways as a sum of consecutive naturals, for example, 1282827 + ... + 1291693.

It is an arithmetic number, because the mean of its divisors is an integer number (537950616).

Almost surely, 211414134420 is an apocalyptic number.

11414134420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11414134420 is an abundant number, since it is smaller than the sum of its proper divisors (14407495148).

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

11414134420 is a wasteful number, since it uses less digits than its factorization.

11414134420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13840 (or 13838 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 11414134420 its reverse (2443141411), we get a palindrome (13857275831).

The spelling of 11414134420 in words is "eleven billion, four hundred fourteen million, one hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 4951 8867 9902 17734 19804 24755 35468 44335 49510 64363 88670 99020 115271 128726 177340 230542 257452 321815 461084 576355 643630 1152710 1287260 2305420 43900517 87801034 175602068 219502585 439005170 570706721 878010340 1141413442 2282826884 2853533605 5707067210 11414134420