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4544428244454 = 2337431012768201
BaseRepresentation
bin100001000100001010100…
…0001111111110111100110
3121002102222000111002002000
41002020111001333313212
51043423442112310304
613355403112430130
7646216111506120
oct102102501776746
917072860432060
104544428244454
1114a23102a876a
126148a79a8346
1326c6cb56a947
14119d46cbc210
157d32723c939
hex4221507fde6

4544428244454 has 128 divisors (see below), whose sum is σ = 11926742952960. Its totient is φ = 1255655520000.

The previous prime is 4544428244453. The next prime is 4544428244459.

4544428244454 is a `hidden beast` number, since 4 + 544 + 4 + 2 + 8 + 2 + 4 + 44 + 54 = 666.

4544428244454 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4544428244454.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4544428244453) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 257554 + ... + 3025754.

It is an arithmetic number, because the mean of its divisors is an integer number (93177679320).

Almost surely, 24544428244454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4544428244454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5963371476480).

4544428244454 is an abundant number, since it is smaller than the sum of its proper divisors (7382314708506).

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

4544428244454 is a wasteful number, since it uses less digits than its factorization.

4544428244454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2768363 (or 2768357 counting only the distinct ones).

The product of its digits is 52428800, while the sum is 54.

The spelling of 4544428244454 in words is "four trillion, five hundred forty-four billion, four hundred twenty-eight million, two hundred forty-four thousand, four hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 43 54 63 86 101 126 129 189 202 258 301 303 378 387 602 606 707 774 903 909 1161 1414 1806 1818 2121 2322 2709 2727 4242 4343 5418 5454 6363 8127 8686 12726 13029 16254 19089 26058 30401 38178 39087 60802 78174 91203 117261 182406 234522 273609 547218 820827 1641654 2768201 5536402 8304603 16609206 19377407 24913809 38754814 49827618 58132221 74741427 116264442 119032643 149482854 174396663 238065286 279588301 348793326 357097929 523189989 559176602 714195858 833228501 838764903 1046379978 1071293787 1666457002 1677529806 1957118107 2142587574 2499685503 2516294709 3213881361 3914236214 4999371006 5032589418 5871354321 6427762722 7499056509 7548884127 11742708642 12022296943 14998113018 15097768254 17614062963 22497169527 24044593886 35228125926 36066890829 44994339054 52842188889 72133781658 84156078601 105684377778 108200672487 168312157202 216401344974 252468235803 324602017461 504936471606 649204034922 757404707409 1514809414818 2272214122227 4544428244454