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144254512240 = 24597178910391
BaseRepresentation
bin1000011001011000111…
…1010010110001110000
3111210100100022111100121
42012112033102301300
54330413123342430
6150134122500024
713264522060036
oct2062617226160
9453310274317
10144254512240
11561a5a03163
1223b5a664614
13107ac145b67
146da66b4556
153b444bca7a
hex21963d2c70

144254512240 has 80 divisors (see below), whose sum is σ = 339071423040. Its totient is φ = 57069527040.

The previous prime is 144254512223. The next prime is 144254512243. The reversal of 144254512240 is 42215452441.

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 = 144254512196 and 144254512205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144254512243) by changing a digit.

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, 13877445 + ... + 13887835.

It is an arithmetic number, because the mean of its divisors is an integer number (4238392788).

Almost surely, 2144254512240 is an apocalyptic number.

144254512240 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 144254512240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169535711520).

144254512240 is an abundant number, since it is smaller than the sum of its proper divisors (194816910800).

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

144254512240 is a wasteful number, since it uses less digits than its factorization.

144254512240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12290 (or 12284 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 34.

Adding to 144254512240 its reverse (42215452441), we get a palindrome (186469964681).

The spelling of 144254512240 in words is "one hundred forty-four billion, two hundred fifty-four million, five hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 97 194 388 485 776 970 1552 1789 1940 3578 3880 7156 7760 8945 10391 14312 17890 20782 28624 35780 41564 51955 71560 83128 103910 143120 166256 173533 207820 347066 415640 694132 831280 867665 1007927 1388264 1735330 2015854 2776528 3470660 4031708 5039635 6941320 8063416 10079270 13882640 16126832 18589499 20158540 37178998 40317080 74357996 80634160 92947495 148715992 185894990 297431984 371789980 743579960 1487159920 1803181403 3606362806 7212725612 9015907015 14425451224 18031814030 28850902448 36063628060 72127256120 144254512240