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1144555485921 = 3429240992
BaseRepresentation
bin10000101001111100110…
…100101011101011100001
311001102022001001222010000
4100221330310223223201
5122223022201022141
62233445044130213
7145456103052261
oct20517464535341
94042261058100
101144555485921
11401448808031
121659a5396969
1383c14890723
143d57aaa57a1
151eb8c3865b6
hex10a7cd2bae1

1144555485921 has 45 divisors (see below), whose sum is σ = 1771190712291. Its totient is φ = 736545637296.

The previous prime is 1144555485889. The next prime is 1144555485959. The reversal of 1144555485921 is 1295845554411.

The square root of 1144555485921 is 1069839.

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

1144555485921 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 5 + 5 + 5 + 48 + 592 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 600177133521 + 544378352400 = 774711^2 + 737820^2 .

It is not a de Polignac number, because 1144555485921 - 25 = 1144555485889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1144555480921) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 279225930 + ... + 279230028.

Almost surely, 21144555485921 is an apocalyptic number.

1144555485921 is the 1069839-th square number.

1144555485921 is the 534920-th centered octagonal number.

It is an amenable number.

1144555485921 is a deficient number, since it is larger than the sum of its proper divisors (626635226370).

1144555485921 is an frugal number, since it uses more digits than its factorization.

1144555485921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8268 (or 4131 counting only the distinct ones).

The product of its digits is 5760000, while the sum is 54.

The spelling of 1144555485921 in words is "one trillion, one hundred forty-four billion, five hundred fifty-five million, four hundred eighty-five thousand, nine hundred twenty-one".

Divisors: 1 3 9 27 29 81 87 261 783 841 2349 2523 4099 7569 12297 22707 36891 68121 110673 118871 332019 356613 1069839 3209517 3447259 9628551 10341777 16801801 31025331 50405403 93075993 151216209 279227979 453648627 487252229 1360945881 1461756687 4385270061 13155810183 14130314641 39467430549 42390943923 127172831769 381518495307 1144555485921