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1092129204144 = 2431110721419029
BaseRepresentation
bin11111110010001111111…
…10010010011110110000
310212101222100202220121010
433321013332102132300
5120343140034013034
62153414531030520
7141621660031566
oct17710776223660
93771870686533
101092129204144
11391195511630
121577b3a3b440
137bcab262614
143ac06033a36
151d61e9c83e9
hexfe47f927b0

1092129204144 has 160 divisors (see below), whose sum is σ = 3108378551040. Its totient is φ = 327665843200.

The previous prime is 1092129204121. The next prime is 1092129204149. The reversal of 1092129204144 is 4414029212901.

It is not an unprimeable number, because it can be changed into a prime (1092129204149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120953422 + ... + 120962450.

It is an arithmetic number, because the mean of its divisors is an integer number (19427365944).

Almost surely, 21092129204144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1092129204144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554189275520).

1092129204144 is an abundant number, since it is smaller than the sum of its proper divisors (2016249346896).

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

1092129204144 is a wasteful number, since it uses less digits than its factorization.

1092129204144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11299 (or 11293 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 1092129204144 in words is "one trillion, ninety-two billion, one hundred twenty-nine million, two hundred four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 107 132 176 214 264 321 428 528 642 856 1177 1284 1712 2141 2354 2568 3531 4282 4708 5136 6423 7062 8564 9029 9416 12846 14124 17128 18058 18832 23551 25692 27087 28248 34256 36116 47102 51384 54174 56496 70653 72232 94204 99319 102768 108348 141306 144464 188408 198638 216696 229087 282612 297957 376816 397276 433392 458174 565224 595914 687261 794552 916348 966103 1130448 1191828 1374522 1589104 1832696 1932206 2383656 2519957 2749044 2898309 3665392 3864412 4767312 5039914 5498088 5796618 7559871 7728824 10079828 10627133 10996176 11593236 15119742 15457648 19331089 20159656 21254266 23186472 30239484 31881399 38662178 40319312 42508532 46372944 57993267 60478968 63762798 77324356 85017064 115986534 120957936 127525596 154648712 170034128 212641979 231973068 255051192 309297424 425283958 463946136 510102384 637925937 850567916 927892272 1275851874 1701135832 2068426523 2551703748 3402271664 4136853046 5103407496 6205279569 8273706092 10206814992 12410559138 16547412184 22752691753 24821118276 33094824368 45505383506 49642236552 68258075259 91010767012 99284473104 136516150518 182021534024 273032301036 364043068048 546064602072 1092129204144