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4311144412001 = 77137928578011
BaseRepresentation
bin111110101111000100001…
…110110011001101100001
3120021010211001210111221022
4332233010032303031201
51031113210432141001
613100302402335225
7623320114605530
oct76570416631541
916233731714838
104311144412001
1114123896a1619
1259764165a515
1325370174526b
1410c9365c4317
1577221c3211b
hex3ebc43b3361

4311144412001 has 32 divisors (see below), whose sum is σ = 5011979028480. Its totient is φ = 3631882665600.

The previous prime is 4311144411967. The next prime is 4311144412007. The reversal of 4311144412001 is 1002144411134.

It is a happy number.

It is not a de Polignac number, because 4311144412001 - 210 = 4311144410977 is a prime.

It is a super-2 number, since 2×43111444120012 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4311144412007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 538149086 + ... + 538157096.

It is an arithmetic number, because the mean of its divisors is an integer number (156624344640).

Almost surely, 24311144412001 is an apocalyptic number.

It is an amenable number.

4311144412001 is a deficient number, since it is larger than the sum of its proper divisors (700834616479).

4311144412001 is a wasteful number, since it uses less digits than its factorization.

4311144412001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11325.

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 4311144412001 its reverse (1002144411134), we get a palindrome (5313288823135).

The spelling of 4311144412001 in words is "four trillion, three hundred eleven billion, one hundred forty-four million, four hundred twelve thousand, one".

Divisors: 1 7 71 379 497 2653 2857 8011 19999 26909 56077 188363 202847 568781 1082803 1419929 3036169 3981467 7579621 21253183 22887427 76879013 160211989 215567999 538153091 1508975993 1625007317 8674334833 11375051219 60720343831 615877773143 4311144412001