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144040331321133 = 31317217255401691
BaseRepresentation
bin100000110000000100000000…
…110010000001111100101101
3200220000010021100102122011220
4200300010000302001330231
5122334424044304234013
61230203114213133553
742224366454622632
oct4060040062017455
9626003240378156
10144040331321133
11419941859a8375
12141a3b9362a2b9
13624ac391048a0
14277d836c02189
15119bc460c7b23
hex830100c81f2d

144040331321133 has 16 divisors (see below), whose sum is σ = 218993444905536. Its totient is φ = 83426074248960.

The previous prime is 144040331321093. The next prime is 144040331321143. The reversal of 144040331321133 is 331123133040441.

It is not a de Polignac number, because 144040331321133 - 28 = 144040331320877 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 144040331321094 and 144040331321103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144040331321143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108627700183 + ... + 108627701508.

It is an arithmetic number, because the mean of its divisors is an integer number (13687090306596).

Almost surely, 2144040331321133 is an apocalyptic number.

144040331321133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

144040331321133 is a deficient number, since it is larger than the sum of its proper divisors (74953113584403).

144040331321133 is a wasteful number, since it uses less digits than its factorization.

144040331321133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217255401724.

The product of its (nonzero) digits is 31104, while the sum is 33.

Adding to 144040331321133 its reverse (331123133040441), we get a palindrome (475163464361574).

The spelling of 144040331321133 in words is "one hundred forty-four trillion, forty billion, three hundred thirty-one million, three hundred twenty-one thousand, one hundred thirty-three".

Divisors: 1 3 13 17 39 51 221 663 217255401691 651766205073 2824320221983 3693341828747 8472960665949 11080025486241 48013443773711 144040331321133