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1144331132001 = 343113312125153
BaseRepresentation
bin10000101001101111011…
…100110101110001100001
311001101201101220121101120
4100221233130311301201
5122222042232211001
62233410511322453
7145450410063231
oct20515734656141
94041641817346
101144331132001
11401343100672
12165942220429
1383baa25a325
143d558d83cc1
151eb7781b236
hex10a6f735c61

1144331132001 has 32 divisors (see below), whose sum is σ = 1575641730432. Its totient is φ = 738285649920.

The previous prime is 1144331131987. The next prime is 1144331132027. The reversal of 1144331132001 is 1002311334411.

It is a happy number.

It is not a de Polignac number, because 1144331132001 - 225 = 1144297577569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1144331132071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45482241 + ... + 45507393.

It is an arithmetic number, because the mean of its divisors is an integer number (49238804076).

Almost surely, 21144331132001 is an apocalyptic number.

It is an amenable number.

1144331132001 is a deficient number, since it is larger than the sum of its proper divisors (431310598431).

1144331132001 is a wasteful number, since it uses less digits than its factorization.

1144331132001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28433.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 1144331132001 its reverse (1002311334411), we get a palindrome (2146642466412).

The spelling of 1144331132001 in words is "one trillion, one hundred forty-four billion, three hundred thirty-one million, one hundred thirty-two thousand, one".

Divisors: 1 3 43 113 129 339 3121 4859 9363 14577 25153 75459 134203 352673 402609 1058019 1081579 2842289 3244737 8526867 15164939 45494817 78502513 122218427 235507539 366655281 3375608059 8870783969 10126824177 26612351907 381443710667 1144331132001