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144040432605501 = 31723413049198227
BaseRepresentation
bin100000110000000100000110…
…110100011001100100111101
3200220000010112102000102012210
4200300010012310121210331
5122334424301221334001
61230203132232051033
742224402124544425
oct4060040664314475
9626003472012183
10144040432605501
1141994228096863
12141a4001533a79
13624ac540a7b73
14277d846449485
15119bc4ee32dd6
hex830106d1993d

144040432605501 has 64 divisors (see below), whose sum is σ = 217377325541376. Its totient is φ = 84336686438400.

The previous prime is 144040432605499. The next prime is 144040432605533. The reversal of 144040432605501 is 105506234040441.

It is not a de Polignac number, because 144040432605501 - 21 = 144040432605499 is a prime.

It is a super-2 number, since 2×1440404326055012 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 144040432605501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144040432605001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1466354550 + ... + 1466452776.

It is an arithmetic number, because the mean of its divisors is an integer number (3396520711584).

Almost surely, 2144040432605501 is an apocalyptic number.

It is an amenable number.

144040432605501 is a deficient number, since it is larger than the sum of its proper divisors (73336892935875).

144040432605501 is a wasteful number, since it uses less digits than its factorization.

144040432605501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128802.

The product of its (nonzero) digits is 230400, while the sum is 39.

Adding to 144040432605501 its reverse (105506234040441), we get a palindrome (249546666645942).

The spelling of 144040432605501 in words is "one hundred forty-four trillion, forty billion, four hundred thirty-two million, six hundred five thousand, five hundred one".

Divisors: 1 3 17 23 41 51 69 123 391 697 943 1173 2091 2829 16031 30491 48093 91473 98227 294681 518347 701293 1250131 1555041 1669859 2103879 2259221 3750393 4027307 5009577 6777663 11921981 12081921 21252227 28753013 35765943 38406757 63756681 68464219 86259039 92628061 115220271 205392657 277884183 488801221 1466403663 1574677037 2995039457 4724031111 8985118371 50915670769 68885907511 122796617737 152747012307 206657722533 368389853211 1171060427687 2087542501529 2824322207951 3513181283061 6262627504587 8472966623853 48013477535167 144040432605501