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144114302013423 = 3743149210976553
BaseRepresentation
bin100000110001001000111001…
…110001110100111111101111
3200220021012012111100010212220
4200301020321301310333233
5122342132042303412143
61230301110225530423
742232625515262640
oct4061107161647757
9626235174303786
10144114302013423
1141a12594486315
12141b63981a3a13
136254bc707bab1
142783252cdd6c7
15119db250bed83
hex831239c74fef

144114302013423 has 96 divisors (see below), whose sum is σ = 226468806068736. Its totient is φ = 79811038734336.

The previous prime is 144114302013419. The next prime is 144114302013427. The reversal of 144114302013423 is 324310203411441.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (144114302013419) and next prime (144114302013427).

It is not a de Polignac number, because 144114302013423 - 22 = 144114302013419 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144114302013427) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21992107515 + ... + 21992114067.

It is an arithmetic number, because the mean of its divisors is an integer number (2359050063216).

Almost surely, 2144114302013423 is an apocalyptic number.

144114302013423 is a deficient number, since it is larger than the sum of its proper divisors (82354504055313).

144114302013423 is a wasteful number, since it uses less digits than its factorization.

144114302013423 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8001 (or 7852 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 144114302013423 its reverse (324310203411441), we get a palindrome (468424505424864).

The spelling of 144114302013423 in words is "one hundred forty-four trillion, one hundred fourteen billion, three hundred two million, thirteen thousand, four hundred twenty-three".

Divisors: 1 3 7 21 43 129 149 301 447 903 1043 1097 3129 3291 6407 6553 7679 19221 19659 22201 23037 44849 45871 47171 66603 134547 137613 141513 155407 163453 281779 330197 466221 490359 845337 954643 976397 990591 1144171 1972453 2863929 2929191 3432513 5917359 6682501 6834779 7028479 7188641 20047503 20504337 21085437 21565923 24354497 41985071 49199353 50320487 73063491 125955213 145483153 147598059 150961461 170481479 293895497 309111563 436449459 511444437 881686491 927334689 1018382071 1047243371 1071107509 2163780941 3055146213 3141730113 3213322527 6255775579 6491342823 7330703597 7497752563 18767326737 21992110791 22493257689 43790429053 46057622887 131371287159 138172868661 159595018841 322403360209 478785056523 967210080627 1117165131887 3351495395661 6862585810163 20587757430489 48038100671141 144114302013423