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144125741144 = 23721133424337
BaseRepresentation
bin1000011000111010010…
…0000100100001011000
3111210000101000020121202
42012032210010201120
54330132142204034
6150113242453332
713261366405100
oct2061644044130
9453011006552
10144125741144
115613a250570
1223b23504248
131078b56a848
146d93554200
153b3803347e
hex218e904858

144125741144 has 48 divisors (see below), whose sum is σ = 342933707880. Its totient is φ = 56152884480.

The previous prime is 144125741143. The next prime is 144125741231. The reversal of 144125741144 is 441147521441.

It is a junction number, because it is equal to n+sod(n) for n = 144125741098 and 144125741107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144125741143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16707857 + ... + 16716480.

Almost surely, 2144125741144 is an apocalyptic number.

144125741144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

144125741144 is an abundant number, since it is smaller than the sum of its proper divisors (198807966736).

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

144125741144 is a wasteful number, since it uses less digits than its factorization.

144125741144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33424368 (or 33424357 counting only the distinct ones).

The product of its digits is 71680, while the sum is 38.

The spelling of 144125741144 in words is "one hundred forty-four billion, one hundred twenty-five million, seven hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 154 196 308 392 539 616 1078 2156 4312 33424337 66848674 133697348 233970359 267394696 367667707 467940718 735335414 935881436 1470670828 1637792513 1871762872 2573673949 2941341656 3275585026 5147347898 6551170052 10294695796 13102340104 18015717643 20589391592 36031435286 72062870572 144125741144