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149284438080 = 2635473308609
BaseRepresentation
bin1000101100001000001…
…0111100000001000000
3112021022220000012110020
42023002002330001000
54421213304004310
6152325203333440
713533256533621
oct2130202740100
9467286005406
10149284438080
115834719a968
1224b23081280
1311101251a3b
147322725a48
153d3ad86170
hex22c20bc040

149284438080 has 112 divisors (see below), whose sum is σ = 484062877440. Its totient is φ = 38962167808.

The previous prime is 149284438063. The next prime is 149284438099. The reversal of 149284438080 is 80834482941.

It is a super-2 number, since 2×1492844380802 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1609185 + ... + 1699424.

Almost surely, 2149284438080 is an apocalyptic number.

149284438080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149284438080 is an abundant number, since it is smaller than the sum of its proper divisors (334778439360).

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

149284438080 is a wasteful number, since it uses less digits than its factorization.

149284438080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3308676 (or 3308666 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 51.

The spelling of 149284438080 in words is "one hundred forty-nine billion, two hundred eighty-four million, four hundred thirty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 60 64 80 94 96 120 141 160 188 192 235 240 282 320 376 470 480 564 705 752 940 960 1128 1410 1504 1880 2256 2820 3008 3760 4512 5640 7520 9024 11280 15040 22560 45120 3308609 6617218 9925827 13234436 16543045 19851654 26468872 33086090 39703308 49629135 52937744 66172180 79406616 99258270 105875488 132344360 155504623 158813232 198516540 211750976 264688720 311009246 317626464 397033080 466513869 529377440 622018492 635252928 777523115 794066160 933027738 1058754880 1244036984 1555046230 1588132320 1866055476 2332569345 2488073968 3110092460 3176264640 3732110952 4665138690 4976147936 6220184920 7464221904 9330277380 9952295872 12440369840 14928443808 18660554760 24880739680 29856887616 37321109520 49761479360 74642219040 149284438080