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444041142121551 = 31364911754070299
BaseRepresentation
bin110010011110110100110001…
…0100010101011010001001111
32011020012220210200001011010010
41210331221202202223101033
5431200132224340342201
64212221403511444303
7162346625306201442
oct14475514242532117
92136186720034103
10444041142121551
11119537877665187
1241976194086693
131609cb914a1560
147b919c51b5659
1536507e0be3bd6
hex193da628ab44f

444041142121551 has 16 divisors (see below), whose sum is σ = 637695765705600. Its totient is φ = 273213989616480.

The previous prime is 444041142121487. The next prime is 444041142121571. The reversal of 444041142121551 is 155121241140444.

It is not a de Polignac number, because 444041142121551 - 26 = 444041142121487 is a prime.

It is a super-2 number, since 2×4440411421215512 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444041142121571) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 876782001 + ... + 877288298.

It is an arithmetic number, because the mean of its divisors is an integer number (39855985356600).

Almost surely, 2444041142121551 is an apocalyptic number.

444041142121551 is a deficient number, since it is larger than the sum of its proper divisors (193654623584049).

444041142121551 is a wasteful number, since it uses less digits than its factorization.

444041142121551 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1754076806.

The product of its (nonzero) digits is 102400, while the sum is 39.

Adding to 444041142121551 its reverse (155121241140444), we get a palindrome (599162383261995).

The spelling of 444041142121551 in words is "four hundred forty-four trillion, forty-one billion, one hundred forty-two million, one hundred twenty-one thousand, five hundred fifty-one".

Divisors: 1 3 13 39 6491 19473 84383 253149 1754070299 5262210897 22802913887 68408741661 11385670310809 34157010932427 148013714040517 444041142121551