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1219140597609 = 341121925872
BaseRepresentation
bin10001101111011010011…
…100010011011101101001
311022112211000010012210000
4101233122130103131221
5124433244443110414
62332022050013213
7154036304045424
oct21573234233551
94275730105700
101219140597609
114300420a2400
1217833b877209
138ac6cc117cc
14430146209bb
1521aa5298b09
hex11bda713769

1219140597609 has 135 divisors (see below), whose sum is σ = 2116307019981. Its totient is φ = 698792553360.

The previous prime is 1219140597599. The next prime is 1219140597659. The reversal of 1219140597609 is 9067950419121.

It is a happy number.

The square root of 1219140597609 is 1104147.

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

1219140597609 is a `hidden beast` number, since 1 + 2 + 1 + 9 + 1 + 40 + 597 + 6 + 0 + 9 = 666.

It is not a de Polignac number, because 1219140597609 - 219 = 1219140073321 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1219140597659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2076900214 + ... + 2076900800.

Almost surely, 21219140597609 is an apocalyptic number.

1219140597609 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

1219140597609 is the 1104147-th square number.

1219140597609 is the 552074-th centered octagonal number.

It is an amenable number.

1219140597609 is a deficient number, since it is larger than the sum of its proper divisors (897166422372).

1219140597609 is an frugal number, since it uses more digits than its factorization.

1219140597609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The spelling of 1219140597609 in words is "one trillion, two hundred nineteen billion, one hundred forty million, five hundred ninety-seven thousand, six hundred nine".

Divisors: 1 3 9 11 19 27 33 57 81 99 121 171 209 297 361 363 513 587 627 891 1083 1089 1539 1761 1881 2299 3249 3267 3971 5283 5643 6457 6897 9747 9801 11153 11913 15849 16929 19371 20691 29241 33459 35739 43681 47547 58113 62073 71027 100377 107217 122683 131043 174339 186219 211907 213081 301131 321651 344569 368049 393129 523017 635721 639243 903393 1033707 1104147 1179387 1349513 1907163 1917729 2330977 3101121 3312441 3538161 3790259 4048539 5721489 5753187 6546811 6992931 9303363 9937323 11370777 12145617 17164467 19640433 20978793 25640747 27910089 34112331 36436851 41692849 58921299 62936379 72014921 76922241 102336993 109310553 124389409 125078547 176763897 188809137 216044763 230766723 307010979 373168227 375235641 530291691 648134289 692300169 792164131 1119504681 1125706923 1368283499 1944402867 2076900507 2376492393 3358514043 3377120769 4104850497 5833208601 7129477179 10075542129 12314551491 15051118489 21388431537 36943654473 45153355467 64165294611 110830963419 135460066401 406380199203 1219140597609