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144121275441 = 321121336727739
BaseRepresentation
bin1000011000111001001…
…1000010010000110001
3111210000001121100211100
42012032103002100301
54330130021303231
6150113003035013
713261313425413
oct2061623022061
9453001540740
10144121275441
1156137780400
1223b21b0ba69
131078a666010
146d92b109b3
153b379501e6
hex218e4c2431

144121275441 has 72 divisors (see below), whose sum is σ = 247102593920. Its totient is φ = 80404695360.

The previous prime is 144121275433. The next prime is 144121275451. The reversal of 144121275441 is 144572121441.

144121275441 is a `hidden beast` number, since 1 + 441 + 2 + 127 + 54 + 41 = 666.

It is not a de Polignac number, because 144121275441 - 23 = 144121275433 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 144121275396 and 144121275405.

It is not an unprimeable number, because it can be changed into a prime (144121275451) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5181750 + ... + 5209488.

Almost surely, 2144121275441 is an apocalyptic number.

144121275441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

144121275441 is a deficient number, since it is larger than the sum of its proper divisors (102981318479).

144121275441 is a wasteful number, since it uses less digits than its factorization.

144121275441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28147 (or 28133 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

Adding to 144121275441 its reverse (144572121441), we get a palindrome (288693396882).

The spelling of 144121275441 in words is "one hundred forty-four billion, one hundred twenty-one million, two hundred seventy-five thousand, four hundred forty-one".

Divisors: 1 3 9 11 13 33 39 99 117 121 143 363 367 429 1089 1101 1287 1573 3303 4037 4719 4771 12111 14157 14313 27739 36333 42939 44407 52481 83217 133221 157443 249651 305129 360607 399663 472329 577291 915387 1081821 1731873 2746161 3245463 3356419 3966677 5195619 10069257 10180213 11900031 30207771 30540639 35700093 43633447 91621917 111982343 130900341 132342769 335947029 392701023 397028307 1007841087 1191084921 1231805773 1455770459 3695417319 4367311377 11086251957 13101934131 16013475049 48040425147 144121275441