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444033143100131 = 13375879671626319
BaseRepresentation
bin110010011110110001000010…
…1110000110101001011100011
32011020012011011012110202120112
41210331202011300311023203
5431200014334113201011
64212214002045001535
7162346223136505334
oct14475420560651343
92136164135422515
10444033143100131
111195344423a5a82
12419747212532ab
131609c1b82119a0
147b91466ac428b
1536504c383d58b
hex193d885c352e3

444033143100131 has 32 divisors (see below), whose sum is σ = 492459271772160. Its totient is φ = 397707662088576.

The previous prime is 444033143099951. The next prime is 444033143100149. The reversal of 444033143100131 is 131001341330444.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-444033143100131 is a prime.

It is a super-2 number, since 2×4440331431001312 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (444033143100731) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 272216390 + ... + 273842708.

It is an arithmetic number, because the mean of its divisors is an integer number (15389352242880).

Almost surely, 2444033143100131 is an apocalyptic number.

444033143100131 is a deficient number, since it is larger than the sum of its proper divisors (48426128672029).

444033143100131 is a wasteful number, since it uses less digits than its factorization.

444033143100131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1627923.

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 444033143100131 its reverse (131001341330444), we get a palindrome (575034484430575).

The spelling of 444033143100131 in words is "four hundred forty-four trillion, thirty-three billion, one hundred forty-three million, one hundred thousand, one hundred thirty-one".

Divisors: 1 13 37 481 587 967 7631 12571 21719 35779 282347 465127 567629 1626319 7379177 21002273 21142147 60173803 273029549 782259439 954649253 1572650473 12410440289 20444456149 35322022361 58188067501 459186290693 756444877513 923145827651 12000895759463 34156395623087 444033143100131