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149284438100 = 22527257829819
BaseRepresentation
bin1000101100001000001…
…0111100000001010100
3112021022220000012110222
42023002002330001110
54421213304004400
6152325203333512
713533256533650
oct2130202740124
9467286005428
10149284438100
115834719a986
1224b23081298
1311101251a55
147322725a60
153d3ad86185
hex22c20bc054

149284438100 has 72 divisors (see below), whose sum is σ = 371666420160. Its totient is φ = 50984017920.

The previous prime is 149284438099. The next prime is 149284438133. The reversal of 149284438100 is 1834482941.

It is a super-2 number, since 2×1492844381002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 235010 + ... + 594809.

Almost surely, 2149284438100 is an apocalyptic number.

149284438100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149284438100 is an abundant number, since it is smaller than the sum of its proper divisors (222381982060).

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

149284438100 is a wasteful number, since it uses less digits than its factorization.

149284438100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830097 (or 830090 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 44.

The spelling of 149284438100 in words is "one hundred forty-nine billion, two hundred eighty-four million, four hundred thirty-eight thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 257 350 514 700 1028 1285 1799 2570 3598 5140 6425 7196 8995 12850 17990 25700 35980 44975 89950 179900 829819 1659638 3319276 4149095 5808733 8298190 11617466 16596380 20745475 23234932 29043665 41490950 58087330 82981900 116174660 145218325 213263483 290436650 426526966 580873300 853053932 1066317415 1492844381 2132634830 2985688762 4265269660 5331587075 5971377524 7464221905 10663174150 14928443810 21326348300 29856887620 37321109525 74642219050 149284438100