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2244504359889 = 341123724092
BaseRepresentation
bin100000101010010110111…
…000101001001111010001
321221120110100221021010000
4200222112320221033101
5243233221104004024
64435035554000213
7321105624162321
oct40522670511721
97846410837100
102244504359889
11795986219300
12302bbbb76069
1313386aba7bbc
147a8c5461281
153d5b85d8cc9
hex20a96e293d1

2244504359889 has 135 divisors (see below), whose sum is σ = 3797002327041. Its totient is φ = 1320304613760.

The previous prime is 2244504359869. The next prime is 2244504359921. The reversal of 2244504359889 is 9889534054422.

The square root of 2244504359889 is 1498167.

It is a perfect power (a square), and thus also a powerful number.

2244504359889 is a `hidden beast` number, since 2 + 2 + 4 + 4 + 504 + 35 + 98 + 8 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1469562185025 + 774942174864 = 1212255^2 + 880308^2 .

It is not a de Polignac number, because 2244504359889 - 223 = 2244495971281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2244504359869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 5487785517 + ... + 5487785925.

Almost surely, 22244504359889 is an apocalyptic number.

2244504359889 is the 1498167-th square number.

2244504359889 is the 749084-th centered octagonal number.

It is an amenable number.

2244504359889 is a deficient number, since it is larger than the sum of its proper divisors (1552497967152).

2244504359889 is an frugal number, since it uses more digits than its factorization.

2244504359889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 63.

It can be divided in two parts, 224450435 and 9889, that added together give a square (224460324 = 149822).

The spelling of 2244504359889 in words is "two trillion, two hundred forty-four billion, five hundred four million, three hundred fifty-nine thousand, eight hundred eighty-nine".

Divisors: 1 3 9 11 27 33 37 81 99 111 121 297 333 363 407 409 891 999 1089 1221 1227 1369 2997 3267 3663 3681 4107 4477 4499 9801 10989 11043 12321 13431 13497 15059 15133 32967 33129 36963 40293 40491 45177 45399 49489 110889 120879 121473 135531 136197 148467 165649 166463 167281 362637 364419 406593 408591 445401 496947 499389 501843 559921 1219779 1225773 1336203 1490841 1498167 1505529 1679763 1831093 1840091 4008609 4472523 4494501 4516587 5039289 5493279 5520273 6159131 6189397 13417569 13483503 13549761 15117867 16479837 16560819 18477393 18568191 20241001 45353601 49439511 49682457 55432179 55704573 60723003 67750441 68083367 148318533 149047371 166296537 167113719 182169009 203251323 204250101 229007689 498889611 501341157 546507027 609753969 612750303 687023067 748917037 1639521081 1829261907 1838250909 2061069201 2246751111 2519084579 5487785721 5514752727 6183207603 6740253333 7557253737 18549622809 20220759999 22671761211 27709930369 60662279997 68015283633 83129791107 204045850899 249389373321 748168119963 2244504359889