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144131003002114 = 217231123565329033
BaseRepresentation
bin100000110001011000011101…
…001111000010110100000010
3200220022210022102012021101121
4200301120131033002310002
5122342420243232031424
61230312511350022454
742234056421323032
oct4061303517026402
9626283272167347
10144131003002114
1141a19684786307
12141b9679347a2a
13625665912c41b
142783d98dc58c2
15119e2a13d0ee4
hex83161d3c2d02

144131003002114 has 64 divisors (see below), whose sum is σ = 239129959014144. Its totient is φ = 64805912303616.

The previous prime is 144131003002087. The next prime is 144131003002153. The reversal of 144131003002114 is 411200300131441.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4964370942 + ... + 4964399974.

It is an arithmetic number, because the mean of its divisors is an integer number (3736405609596).

Almost surely, 2144131003002114 is an apocalyptic number.

144131003002114 is a deficient number, since it is larger than the sum of its proper divisors (94998956012030).

144131003002114 is a wasteful number, since it uses less digits than its factorization.

144131003002114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35851.

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 144131003002114 its reverse (411200300131441), we get a palindrome (555331303133555).

The spelling of 144131003002114 in words is "one hundred forty-four trillion, one hundred thirty-one billion, three million, two thousand, one hundred fourteen".

Divisors: 1 2 17 23 34 46 391 782 1123 2246 5653 11306 19091 25829 29033 38182 51658 58066 96101 130019 192202 260038 439093 493561 667759 878186 987122 1335518 2210323 4420646 6348319 11351903 12696638 22703806 32604059 65208118 107921423 146011337 164123549 215842846 292022674 328247098 554269003 749893357 1108538006 1499786714 2482192729 2790100333 3774841627 4964385458 5580200666 7549683254 12748187069 25496374138 64172307659 128344615318 184310745527 368621491054 3133282673959 4239147147121 6266565347918 8478294294242 72065501501057 144131003002114