Search a number
-
+
1092109092144 = 243721513075047
BaseRepresentation
bin11111110010001101100…
…01100100010100110000
310212101220221221010010020
433321012301210110300
5120343114411422034
62153412532003440
7141621324055200
oct17710661442460
93771827833106
101092109092144
11391185125144
121577a9160580
137bca7040225
143ac034ba400
151d61cd54249
hexfe46c64530

1092109092144 has 120 divisors (see below), whose sum is σ = 3303634768128. Its totient is φ = 309964636800.

The previous prime is 1092109092133. The next prime is 1092109092163. The reversal of 1092109092144 is 4412909012901.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1092109092096 and 1092109092105.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1182372 + ... + 1892675.

Almost surely, 21092109092144 is an apocalyptic number.

1092109092144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1092109092144 is an abundant number, since it is smaller than the sum of its proper divisors (2211525675984).

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

1092109092144 is a wasteful number, since it uses less digits than its factorization.

1092109092144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3075223 (or 3075210 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The spelling of 1092109092144 in words is "one trillion, ninety-two billion, one hundred nine million, ninety-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 151 168 196 294 302 336 392 453 588 604 784 906 1057 1176 1208 1812 2114 2352 2416 3171 3624 4228 6342 7248 7399 8456 12684 14798 16912 22197 25368 29596 44394 50736 59192 88788 118384 177576 355152 3075047 6150094 9225141 12300188 18450282 21525329 24600376 36900564 43050658 49200752 64575987 73801128 86101316 129151974 147602256 150677303 172202632 258303948 301354606 344405264 452031909 464332097 516607896 602709212 904063818 928664194 1033215792 1205418424 1392996291 1808127636 1857328388 2410836848 2785992582 3250324679 3616255272 3714656776 5571985164 6500649358 7232510544 7429313552 9750974037 11143970328 13001298716 19501948074 22287940656 22752272753 26002597432 39003896148 45504545506 52005194864 68256818259 78007792296 91009091012 136513636518 156015584592 182018182024 273027273036 364036364048 546054546072 1092109092144