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2144412033231 = 31328369977283
BaseRepresentation
bin11111001101001000111…
…010101110000011001111
321121000002202120020111110
4133031020322232003033
5240113223440030411
64321043532023103
7310633346351016
oct37151072560317
97530082506443
102144412033231
11757492762886
122a7727301a93
131272a9210500
1475b0c049a7d
153abab2132a6
hex1f348eae0cf

2144412033231 has 48 divisors (see below), whose sum is σ = 3134254386816. Its totient is φ = 1303373605248.

The previous prime is 2144412033173. The next prime is 2144412033241. The reversal of 2144412033231 is 1323302144412.

It is not a de Polignac number, because 2144412033231 - 211 = 2144412031183 is a prime.

It is a super-2 number, since 2×21444120332312 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144412033241) 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 47 ways as a sum of consecutive naturals, for example, 294437116 + ... + 294444398.

It is an arithmetic number, because the mean of its divisors is an integer number (65296966392).

Almost surely, 22144412033231 is an apocalyptic number.

2144412033231 is a deficient number, since it is larger than the sum of its proper divisors (989842353585).

2144412033231 is a wasteful number, since it uses less digits than its factorization.

2144412033231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14392 (or 14379 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 2144412033231 its reverse (1323302144412), we get a palindrome (3467714177643).

The spelling of 2144412033231 in words is "two trillion, one hundred forty-four billion, four hundred twelve million, thirty-three thousand, two hundred thirty-one".

Divisors: 1 3 13 39 83 169 249 507 1079 3237 6997 7283 14027 20991 21849 42081 90961 94679 272883 284037 580751 604489 1182493 1230827 1742253 1813467 3547479 3692481 7549763 7858357 22649289 23575071 50959151 98146919 102158641 152877453 294440757 306475923 662468963 1987406889 4229609533 8612096519 12688828599 25836289557 54984923929 164954771787 714804011077 2144412033231