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1132148447244 = 22355696193307
BaseRepresentation
bin10000011110011001010…
…011100101100000001100
311000020021101001002200000
4100132121103211200030
5122022120000302434
62224033554204300
7144536460006663
oct20363123454014
94006241032600
101132148447244
113a7161313261
12163502283690
13829b82c1919
143cb20daddda
151e6b3011b99
hex107994e580c

1132148447244 has 144 divisors (see below), whose sum is σ = 2978732265600. Its totient is φ = 375997251456.

The previous prime is 1132148447233. The next prime is 1132148447263. The reversal of 1132148447244 is 4427448412311.

1132148447244 is a `hidden beast` number, since 1 + 1 + 32 + 148 + 4 + 472 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1132148447244.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 342347439 + ... + 342350745.

Almost surely, 21132148447244 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 1132148447244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489366132800).

1132148447244 is an abundant number, since it is smaller than the sum of its proper divisors (1846583818356).

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

1132148447244 is a wasteful number, since it uses less digits than its factorization.

1132148447244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4514 (or 4500 counting only the distinct ones).

The product of its digits is 688128, while the sum is 45.

The spelling of 1132148447244 in words is "one trillion, one hundred thirty-two billion, one hundred forty-eight million, four hundred forty-seven thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 569 619 972 1138 1238 1707 1857 2276 2476 3307 3414 3714 5121 5571 6614 6828 7428 9921 10242 11142 13228 15363 16713 19842 20484 22284 29763 30726 33426 39684 46089 50139 59526 61452 66852 89289 92178 100278 119052 138267 150417 178578 184356 200556 267867 276534 300834 352211 357156 535734 553068 601668 704422 803601 1056633 1071468 1408844 1607202 1881683 2047033 2113266 3169899 3214404 3763366 4094066 4226532 5645049 6141099 6339798 7526732 8188132 9509697 11290098 12282198 12679596 16935147 18423297 19019394 22580196 24564396 28529091 33870294 36846594 38038788 50805441 55269891 57058182 67740588 73693188 85587273 101610882 110539782 114116364 152416323 165809673 171174546 203221764 221079564 304832646 331619346 342349092 457248969 497429019 609665292 663238692 914497938 994858038 1164761777 1828995876 1989716076 2329523554 3494285331 4659047108 6988570662 10482855993 13977141324 20965711986 31448567979 41931423972 62897135958 94345703937 125794271916 188691407874 283037111811 377382815748 566074223622 1132148447244