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144110355440 = 24511328156731
BaseRepresentation
bin1000011000110110100…
…1011000001111110000
3111202222022001120101212
42012031221120033300
54330114222333230
6150111533015252
713261121544602
oct2061551301760
9452868046355
10144110355440
11561315a2007
1223b1a324528
131078831178c
146d914ab172
153b369e4895
hex218da583f0

144110355440 has 80 divisors (see below), whose sum is σ = 339230582496. Its totient is φ = 56929689600.

The previous prime is 144110355437. The next prime is 144110355481. The reversal of 144110355440 is 44553011441.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 144110355397 and 144110355406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2511875 + ... + 2568605.

Almost surely, 2144110355440 is an apocalyptic number.

144110355440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144110355440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169615291248).

144110355440 is an abundant number, since it is smaller than the sum of its proper divisors (195120227056).

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

144110355440 is a wasteful number, since it uses less digits than its factorization.

144110355440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57138 (or 57132 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

Adding to 144110355440 its reverse (44553011441), we get a palindrome (188663366881).

The spelling of 144110355440 in words is "one hundred forty-four billion, one hundred ten million, three hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 113 226 281 452 562 565 904 1124 1130 1405 1808 2248 2260 2810 4496 4520 5620 9040 11240 22480 31753 56731 63506 113462 127012 158765 226924 254024 283655 317530 453848 508048 567310 635060 907696 1134620 1270120 2269240 2540240 4538480 6410603 12821206 15941411 25642412 31882822 32053015 51284824 63765644 64106030 79707055 102569648 127531288 128212060 159414110 255062576 256424120 318828220 512848240 637656440 1275312880 1801379443 3602758886 7205517772 9006897215 14411035544 18013794430 28822071088 36027588860 72055177720 144110355440