Search a number
-
+
144441441023440 = 24511179655176539
BaseRepresentation
bin100000110101111001100100…
…110010000111010111010000
3200221102110121101002201120011
4200311321210302013113100
5122413012032400222230
61231111252034124304
742265356363056431
oct4065714462072720
9627373541081504
10144441441023440
11420292a8971510
1214249876420694
136279a0060cac2
14279500850b488
1511a73c0121e2a
hex835e64c875d0

144441441023440 has 80 divisors (see below), whose sum is σ = 387906372671040. Its totient is φ = 49434503874560.

The previous prime is 144441441023387. The next prime is 144441441023459. The reversal of 144441441023440 is 44320144144441.

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

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 144441441023393 and 144441441023402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4827573310 + ... + 4827603229.

It is an arithmetic number, because the mean of its divisors is an integer number (4848829658388).

Almost surely, 2144441441023440 is an apocalyptic number.

144441441023440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144441441023440 is an abundant number, since it is smaller than the sum of its proper divisors (243464931647600).

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

144441441023440 is a wasteful number, since it uses less digits than its factorization.

144441441023440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9655176580 (or 9655176574 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 40.

Adding to 144441441023440 its reverse (44320144144441), we get a palindrome (188761585167881).

The spelling of 144441441023440 in words is "one hundred forty-four trillion, four hundred forty-one billion, four hundred forty-one million, twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 110 136 170 176 187 220 272 340 374 440 680 748 880 935 1360 1496 1870 2992 3740 7480 14960 9655176539 19310353078 38620706156 48275882695 77241412312 96551765390 106206941929 154482824624 164138001163 193103530780 212413883858 328276002326 386207061560 424827767716 531034709645 656552004652 772414123120 820690005815 849655535432 1062069419290 1313104009304 1641380011630 1699311070864 1805518012793 2124138838580 2626208018608 3282760023260 3611036025586 4248277677160 6565520046520 7222072051172 8496555354320 9027590063965 13131040093040 14444144102344 18055180127930 28888288204688 36110360255860 72220720511720 144441441023440