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1482896974140 = 2232573160970139
BaseRepresentation
bin10101100101000011100…
…011000010000100111100
312020202121122021101220100
4111211003203002010330
5143243433111133030
63053122232321100
7212064366210261
oct25450343020474
95222548241810
101482896974140
1152199075697a
121bb48b243190
13a9ab4c9036a
1451ab600d268
1528890b21360
hex159438c213c

1482896974140 has 144 divisors (see below), whose sum is σ = 4562637861600. Its totient is φ = 389774260224.

The previous prime is 1482896974127. The next prime is 1482896974147. The reversal of 1482896974140 is 414796982841.

1482896974140 is a `hidden beast` number, since 1 + 4 + 82 + 89 + 69 + 7 + 414 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1482896974147) by changing a digit.

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, 21107191 + ... + 21177329.

It is an arithmetic number, because the mean of its divisors is an integer number (31684985150).

Almost surely, 21482896974140 is an apocalyptic number.

1482896974140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1482896974140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2281318930800).

1482896974140 is an abundant number, since it is smaller than the sum of its proper divisors (3079740887460).

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

1482896974140 is a wasteful number, since it uses less digits than its factorization.

1482896974140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71836 (or 71831 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 1482896974140 in words is "one trillion, four hundred eighty-two billion, eight hundred ninety-six million, nine hundred seventy-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 73 90 146 180 219 292 365 438 657 730 876 1095 1314 1460 1609 2190 2628 3218 3285 4380 4827 6436 6570 8045 9654 13140 14481 16090 19308 24135 28962 32180 48270 57924 70139 72405 96540 117457 140278 144810 210417 234914 280556 289620 350695 352371 420834 469828 587285 631251 701390 704742 841668 1052085 1057113 1174570 1262502 1402780 1409484 1761855 2104170 2114226 2349140 2525004 3156255 3523710 4208340 4228452 5120147 5285565 6312510 7047420 10240294 10571130 12625020 15360441 20480588 21142260 25600735 30720882 46081323 51201470 61441764 76802205 92162646 102402940 112853651 153604410 184325292 225707302 230406615 307208820 338560953 451414604 460813230 564268255 677121906 921626460 1015682859 1128536510 1354243812 1692804765 2031365718 2257073020 3385609530 4062731436 5078414295 6771219060 8238316523 10156828590 16476633046 20313657180 24714949569 32953266092 41191582615 49429899138 74144848707 82383165230 98859798276 123574747845 148289697414 164766330460 247149495690 296579394828 370724243535 494298991380 741448487070 1482896974140