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4144320154041 = 31723328310331193
BaseRepresentation
bin111100010011101100101…
…110110000100110111001
3112200012012210112010220120
4330103230232300212321
51020400031424412131
612451512511443453
7605263055035524
oct74235456604671
915605183463816
104144320154041
111358661759451
1256b244526589
13240a667154a2
1410482c61dbbb
1572c0b0e2496
hex3c4ecbb09b9

4144320154041 has 64 divisors (see below), whose sum is σ = 5907334447872. Its totient is φ = 2575390113792.

The previous prime is 4144320154033. The next prime is 4144320154057. The reversal of 4144320154041 is 1404510234414.

4144320154041 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4144320154041 - 23 = 4144320154033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4144320153993 and 4144320154011.

It is not an unprimeable number, because it can be changed into a prime (4144320154031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3473863741 + ... + 3473864933.

It is an arithmetic number, because the mean of its divisors is an integer number (92302100748).

Almost surely, 24144320154041 is an apocalyptic number.

It is an amenable number.

4144320154041 is a deficient number, since it is larger than the sum of its proper divisors (1763014293831).

4144320154041 is a wasteful number, since it uses less digits than its factorization.

4144320154041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2762.

The product of its (nonzero) digits is 30720, while the sum is 33.

Adding to 4144320154041 its reverse (1404510234414), we get a palindrome (5548830388455).

The spelling of 4144320154041 in words is "four trillion, one hundred forty-four billion, three hundred twenty million, one hundred fifty-four thousand, forty-one".

Divisors: 1 3 17 51 233 283 699 849 1033 1193 3099 3579 3961 4811 11883 14433 17561 20281 52683 60843 65939 197817 240689 277969 292339 337619 722067 833907 877017 1012857 1120963 1232369 3362889 3697107 4091713 4725473 4969763 5739523 12275139 14176419 14909289 17218569 20950273 62850819 68114987 78665227 204344961 235995681 287141977 348760427 861425931 1046281281 1157954779 1337308859 3473864337 4011926577 4881413609 5928927259 14644240827 17786781777 81261179491 243783538473 1381440051347 4144320154041