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11344142112 = 253829142543
BaseRepresentation
bin10101001000010100…
…11101111100100000
31002021121000010110120
422210022131330200
5141213100021422
65113400200240
7551055421422
oct124412357440
932247003416
1011344142112
1148a1521966
122247169080
1310ba30c434
14798894812
15465dbc45c
hex2a429df20

11344142112 has 48 divisors (see below), whose sum is σ = 29814503040. Its totient is φ = 3776792832.

The previous prime is 11344142107. The next prime is 11344142129. The reversal of 11344142112 is 21124144311.

It is a happy number.

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 nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8313 + ... + 150855.

It is an arithmetic number, because the mean of its divisors is an integer number (621135480).

Almost surely, 211344142112 is an apocalyptic number.

11344142112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11344142112 is an abundant number, since it is smaller than the sum of its proper divisors (18470360928).

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

11344142112 is a wasteful number, since it uses less digits than its factorization.

11344142112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143385 (or 143377 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

Adding to 11344142112 its reverse (21124144311), we get a palindrome (32468286423).

The spelling of 11344142112 in words is "eleven billion, three hundred forty-four million, one hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 829 1658 2487 3316 4974 6632 9948 13264 19896 26528 39792 79584 142543 285086 427629 570172 855258 1140344 1710516 2280688 3421032 4561376 6842064 13684128 118168147 236336294 354504441 472672588 709008882 945345176 1418017764 1890690352 2836035528 3781380704 5672071056 11344142112