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1144002423213 = 331317191721539
BaseRepresentation
bin10000101001011011110…
…110111010100110101101
311001100212111101110201000
4100221123312322212231
5122220404110020323
62233314130110513
7145436306103456
oct20513366724655
94040774343630
101144002423213
114011945a8911
1216587011b439
1383b5711a1a0
143d52745a12d
151eb58a3ae43
hex10a5bdba9ad

1144002423213 has 32 divisors (see below), whose sum is σ = 1932553123200. Its totient is φ = 662589635328.

The previous prime is 1144002423203. The next prime is 1144002423373. The reversal of 1144002423213 is 3123242004411.

1144002423213 is a `hidden beast` number, since 1 + 1 + 4 + 400 + 2 + 42 + 3 + 213 = 666.

It is not a de Polignac number, because 1144002423213 - 29 = 1144002422701 is a prime.

It is a super-2 number, since 2×11440024232132 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144002423203) 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, 95854803 + ... + 95866736.

It is an arithmetic number, because the mean of its divisors is an integer number (60392285100).

Almost surely, 21144002423213 is an apocalyptic number.

1144002423213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1144002423213 is a deficient number, since it is larger than the sum of its proper divisors (788550699987).

1144002423213 is a wasteful number, since it uses less digits than its factorization.

1144002423213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191721578 (or 191721572 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1144002423213 its reverse (3123242004411), we get a palindrome (4267244427624).

The spelling of 1144002423213 in words is "one trillion, one hundred forty-four billion, two million, four hundred twenty-three thousand, two hundred thirteen".

Divisors: 1 3 9 13 17 27 39 51 117 153 221 351 459 663 1989 5967 191721539 575164617 1725493851 2492380007 3259266163 5176481553 7477140021 9777798489 22431420063 29333395467 42370460119 67294260189 88000186401 127111380357 381334141071 1144002423213