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11401441440 = 253523753003
BaseRepresentation
bin10101001111001010…
…00011000010100000
31002102120211020100220
422213211003002200
5141322232111230
65123204243040
7552352440024
oct124745030240
932376736326
1011401441440
1149208a8784
1222623a0480
1310c915206c
147a232c384
1546ae39d10
hex2a79430a0

11401441440 has 48 divisors (see below), whose sum is σ = 35914542048. Its totient is φ = 3040384256.

The previous prime is 11401441439. The next prime is 11401441463. The reversal of 11401441440 is 4414410411.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11401441440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11876022 + ... + 11876981.

It is an arithmetic number, because the mean of its divisors is an integer number (748219626).

Almost surely, 211401441440 is an apocalyptic number.

11401441440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11401441440 is an abundant number, since it is smaller than the sum of its proper divisors (24513100608).

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

11401441440 is a wasteful number, since it uses less digits than its factorization.

11401441440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23753021 (or 23753013 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 11401441440 its reverse (4414410411), we get a palindrome (15815851851).

The spelling of 11401441440 in words is "eleven billion, four hundred one million, four hundred forty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 23753003 47506006 71259009 95012012 118765015 142518018 190024024 237530030 285036036 356295045 380048048 475060060 570072072 712590090 760096096 950120120 1140144144 1425180180 1900240240 2280288288 2850360360 3800480480 5700720720 11401441440