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1082280228144 = 243173142784639
BaseRepresentation
bin11111011111111001110…
…11011011010100110000
310211110112222012002110020
433233330323123110300
5120213002214300034
62145105341203440
7141122625103053
oct17577473332460
93743488162406
101082280228144
11387aa0a79145
12155905560580
137b09b94217b
143a54dd84a9a
151d244eed249
hexfbfcedb530

1082280228144 has 80 divisors (see below), whose sum is σ = 3055850127360. Its totient is φ = 328586019840.

The previous prime is 1082280228119. The next prime is 1082280228151. The reversal of 1082280228144 is 4418220822801.

It is a junction number, because it is equal to n+sod(n) for n = 1082280228096 and 1082280228105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21367024 + ... + 21417615.

It is an arithmetic number, because the mean of its divisors is an integer number (38198126592).

Almost surely, 21082280228144 is an apocalyptic number.

It is an amenable number.

1082280228144 is an abundant number, since it is smaller than the sum of its proper divisors (1973569899216).

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

1082280228144 is a wasteful number, since it uses less digits than its factorization.

1082280228144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42784698 (or 42784692 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 42.

The spelling of 1082280228144 in words is "one trillion, eighty-two billion, two hundred eighty million, two hundred twenty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 34 48 51 62 68 93 102 124 136 186 204 248 272 372 408 496 527 744 816 1054 1488 1581 2108 3162 4216 6324 8432 12648 25296 42784639 85569278 128353917 171138556 256707834 342277112 513415668 684554224 727338863 1026831336 1326323809 1454677726 2053662672 2182016589 2652647618 2909355452 3978971427 4364033178 5305295236 5818710904 7957942854 8728066356 10610590472 11637421808 15915885708 17456132712 21221180944 22547504753 31831771416 34912265424 45095009506 63663542832 67642514259 90190019012 135285028518 180380038024 270570057036 360760076048 541140114072 1082280228144