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144004340535 = 3511291132291163
BaseRepresentation
bin1000011000011101010…
…0111101101100110111
3111202200220120110021220
42012013110331230313
54324410102344120
6150053224441423
713255363461336
oct2060724755467
9452626513256
10144004340535
1156087772490
1223aaa919273
131076c373273
146d81391d1d
153b2c552b40
hex218753db37

144004340535 has 128 divisors (see below), whose sum is σ = 263693491200. Its totient is φ = 66467143680.

The previous prime is 144004340531. The next prime is 144004340539. The reversal of 144004340535 is 535043400441.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (144004340531) and next prime (144004340539).

It is not a de Polignac number, because 144004340535 - 22 = 144004340531 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 144004340496 and 144004340505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144004340531) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 123820864 + ... + 123822026.

It is an arithmetic number, because the mean of its divisors is an integer number (2060105400).

Almost surely, 2144004340535 is an apocalyptic number.

144004340535 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

144004340535 is a deficient number, since it is larger than the sum of its proper divisors (119689150665).

144004340535 is a wasteful number, since it uses less digits than its factorization.

144004340535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1553.

The product of its (nonzero) digits is 57600, while the sum is 33.

Adding to 144004340535 its reverse (535043400441), we get a palindrome (679047740976).

The spelling of 144004340535 in words is "one hundred forty-four billion, four million, three hundred forty thousand, five hundred thirty-five".

Divisors: 1 3 5 11 15 29 33 55 87 113 145 165 229 319 339 435 565 687 957 1145 1163 1243 1595 1695 2519 3277 3435 3489 3729 4785 5815 6215 6641 7557 9831 12595 12793 16385 17445 18645 19923 25877 33205 33727 36047 37785 38379 49155 63965 73051 77631 99615 101181 108141 129385 131419 168635 180235 191895 219153 266327 284647 365255 370997 388155 394257 505905 540705 657095 750433 798981 853941 1095765 1112991 1331635 1423235 1445609 1854985 1971285 2251299 2929597 3752165 3811151 3994905 4269705 4336827 5564955 7228045 7723483 8254763 8788791 11256495 11433453 14647985 19055755 21684135 23170449 24764289 30094951 38617415 41273815 41922661 43943955 57167265 84958313 90284853 115852245 123821445 125767983 150474755 209613305 254874939 331044461 424791565 451424265 628839915 872753579 993133383 1274374695 1655222305 2618260737 4363767895 4965666915 9600289369 13091303685 28800868107 48001446845 144004340535