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144553320442544 = 241321920691359901
BaseRepresentation
bin100000110111100001110001…
…010100001110101010110000
3200221211011101102222002021012
4200313201301110032222300
5122421330200013130134
61231234513442250052
742306430015331036
oct4067416124165260
9627734342862235
10144553320442544
114207179a98aa52
121426749a656928
1362874202b5900
14279a5bd15c556
1511aa26c20e6ce
hex83787150eab0

144553320442544 has 120 divisors (see below), whose sum is σ = 319389575504400. Its totient is φ = 63174905164800.

The previous prime is 144553320442493. The next prime is 144553320442627. The reversal of 144553320442544 is 445244023355441.

It is a junction number, because it is equal to n+sod(n) for n = 144553320442492 and 144553320442501.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105616994 + ... + 106976894.

It is an arithmetic number, because the mean of its divisors is an integer number (2661579795870).

Almost surely, 2144553320442544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144553320442544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159694787752200).

144553320442544 is an abundant number, since it is smaller than the sum of its proper divisors (174836255061856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

144553320442544 is a wasteful number, since it uses less digits than its factorization.

144553320442544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362023 (or 1362004 counting only the distinct ones).

The product of its (nonzero) digits is 18432000, while the sum is 50.

Adding to 144553320442544 its reverse (445244023355441), we get a palindrome (589797343797985).

The spelling of 144553320442544 in words is "one hundred forty-four trillion, five hundred fifty-three billion, three hundred twenty million, four hundred forty-two thousand, five hundred forty-four".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 152 169 208 247 304 338 494 676 988 1352 1976 2069 2704 3211 3952 4138 6422 8276 12844 16552 25688 26897 33104 39311 51376 53794 78622 107588 157244 215176 314488 349661 430352 511043 628976 699322 1022086 1359901 1398644 2044172 2719802 2797288 4088344 5439604 5594576 6643559 8176688 10879208 13287118 17678713 21758416 25838119 26574236 35357426 51676238 53148472 70714852 103352476 106296944 141429704 206704952 229823269 282859408 335895547 413409904 459646538 671791094 919293076 1343582188 1838586152 2687164376 2813635169 3677172304 4366642111 5374328752 5627270338 8733284222 11254540676 17466568444 22509081352 34933136888 36577257197 45018162704 53459068211 69866273776 73154514394 106918136422 146309028788 213836272844 292618057576 427672545688 475504343561 585236115152 694967886743 855345091376 951008687122 1389935773486 1902017374244 2779871546972 3804034748488 5559743093944 7608069496976 9034582527659 11119486187888 18069165055318 36138330110636 72276660221272 144553320442544