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3144049934490 = 234521122382493
BaseRepresentation
bin101101110000000111111…
…110101100000010011010
3102010120100020122010220000
4231300013332230002122
5403003003240400430
610404205005313430
7443102326332423
oct55600776540232
912116306563800
103144049934490
11100242524a613
12429407b65876
1319a637477c2a
14ac25c35664a
1556bb5ca0e60
hex2dc07fac09a

3144049934490 has 160 divisors (see below), whose sum is σ = 8532260706816. Its totient is φ = 830687840640.

The previous prime is 3144049934471. The next prime is 3144049934513. The reversal of 3144049934490 is 944399404413.

3144049934490 is a `hidden beast` number, since 3 + 144 + 0 + 4 + 9 + 9 + 3 + 4 + 490 = 666.

3144049934490 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 38071684 + ... + 38154176.

Almost surely, 23144049934490 is an apocalyptic number.

3144049934490 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3144049934490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4266130353408).

3144049934490 is an abundant number, since it is smaller than the sum of its proper divisors (5388210772326).

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

3144049934490 is a wasteful number, since it uses less digits than its factorization.

3144049934490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82946 (or 82937 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 3144049934490 in words is "three trillion, one hundred forty-four billion, forty-nine million, nine hundred thirty-four thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 211 223 270 405 422 446 633 669 810 1055 1115 1266 1338 1899 2007 2110 2230 3165 3345 3798 4014 5697 6021 6330 6690 9495 10035 11394 12042 17091 18063 18990 20070 28485 30105 34182 36126 47053 56970 60210 82493 85455 90315 94106 141159 164986 170910 180630 235265 247479 282318 412465 423477 470530 494958 705795 742437 824930 846954 1237395 1270431 1411590 1484874 2117385 2227311 2474790 2540862 3712185 3811293 4234770 4454622 6352155 6681933 7424370 7622586 11136555 12704310 13363866 17406023 18395939 19056465 22273110 33409665 34812046 36791878 38112930 52218069 55187817 66819330 87030115 91979695 104436138 110375634 156654207 165563451 174060230 183959390 261090345 275939085 313308414 331126902 469962621 496690353 522180690 551878170 783271035 827817255 939925242 993380706 1409887863 1490071059 1566542070 1655634510 2349813105 2483451765 2819775726 2980142118 3881543129 4699626210 4966903530 7049439315 7450355295 7763086258 11644629387 14098878630 14900710590 19407715645 23289258774 34933888161 38815431290 58223146935 69867776322 104801664483 116446293870 174669440805 209603328966 314404993449 349338881610 524008322415 628809986898 1048016644830 1572024967245 3144049934490