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1142414443401 = 37112854352627
BaseRepresentation
bin10000100111111101001…
…101010000001110001001
311001012202211022201220220
4100213331031100032021
5122204131044142101
62232452402140253
7145352044355640
oct20477515201611
94035684281826
101142414443401
1140054a197100
121654a8351689
138396313266a
143d4165b4357
151eab4413636
hex109fd350389

1142414443401 has 48 divisors (see below), whose sum is σ = 1913725857792. Its totient is φ = 593381305440.

The previous prime is 1142414443399. The next prime is 1142414443463. The reversal of 1142414443401 is 1043444142411.

It is not a de Polignac number, because 1142414443401 - 21 = 1142414443399 is a prime.

It is a super-2 number, since 2×11424144434012 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (1142414443501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21681450 + ... + 21734076.

It is an arithmetic number, because the mean of its divisors is an integer number (39869288704).

Almost surely, 21142414443401 is an apocalyptic number.

1142414443401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1142414443401 is a deficient number, since it is larger than the sum of its proper divisors (771311414391).

1142414443401 is a wasteful number, since it uses less digits than its factorization.

1142414443401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61202 (or 61191 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

Adding to 1142414443401 its reverse (1043444142411), we get a palindrome (2185858585812).

The spelling of 1142414443401 in words is "one trillion, one hundred forty-two billion, four hundred fourteen million, four hundred forty-three thousand, four hundred one".

Divisors: 1 3 7 11 21 33 77 121 231 363 847 2541 8543 25629 52627 59801 93973 157881 179403 281919 368389 578897 657811 1033703 1105167 1736691 1973433 3101109 4052279 6367867 7235921 12156837 19103601 21707763 44575069 133725207 449592461 1348777383 3147147227 4945517071 9441441681 14836551213 34618619497 54400687781 103855858491 163202063343 380804814467 1142414443401