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149806154304 = 2632161272
BaseRepresentation
bin1000101110000100100…
…1001000001001000000
3112022200020201010120100
42023201021020021000
54423300333414204
6152453041442400
713552223205312
oct2134111101100
9468606633510
10149806154304
1158594739aa4
1225049940400
131118536b471
147371b317b2
153d6ba8da39
hex22e1248240

149806154304 has 63 divisors (see below), whose sum is σ = 429418920307. Its totient is φ = 49932288384.

The previous prime is 149806154293. The next prime is 149806154479. The reversal of 149806154304 is 403451608941.

The square root of 149806154304 is 387048.

It is a perfect power (a square), and thus also a powerful number.

149806154304 is a `hidden beast` number, since 1 + 49 + 8 + 0 + 61 + 543 + 0 + 4 = 666.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 149806154304.

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 8 ways as a sum of consecutive naturals, for example, 9281089 + ... + 9297215.

Almost surely, 2149806154304 is an apocalyptic number.

149806154304 is the 387048-th square number.

It is an amenable number.

149806154304 is an abundant number, since it is smaller than the sum of its proper divisors (279612766003).

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

149806154304 is an frugal number, since it uses more digits than its factorization.

149806154304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32272 (or 16132 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 149806154304 in words is "one hundred forty-nine billion, eight hundred six million, one hundred fifty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 16127 32254 48381 64508 96762 129016 145143 193524 258032 290286 387048 516064 580572 774096 1032128 1161144 1548192 2322288 3096384 4644576 9289152 260080129 520160258 780240387 1040320516 1560480774 2080641032 2340721161 3120961548 4161282064 4681442322 6241923096 8322564128 9362884644 12483846192 16645128256 18725769288 24967692384 37451538576 49935384768 74903077152 149806154304