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150433033104144 = 2433749746373381
BaseRepresentation
bin100010001101000101101011…
…100000000010101100010000
3201201122020221201122201111000
4202031011223200002230100
5124204143322433313034
61251535551550222000
743454266540333440
oct4215055340025420
9651566851581430
10150433033104144
1143a2932245172a
1214a56b1a4b4900
1365c2a0aa7470b
142920dd77aa120
15125d195d84599
hex88d16b802b10

150433033104144 has 80 divisors (see below), whose sum is σ = 493484023949440. Its totient is φ = 42980866600320.

The previous prime is 150433033104119. The next prime is 150433033104149. The reversal of 150433033104144 is 441401330334051.

150433033104144 is a `hidden beast` number, since 1 + 5 + 0 + 4 + 330 + 3 + 310 + 4 + 1 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 150433033104099 and 150433033104108.

It is not an unprimeable number, because it can be changed into a prime (150433033104149) 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 15 ways as a sum of consecutive naturals, for example, 24873183667 + ... + 24873189714.

It is an arithmetic number, because the mean of its divisors is an integer number (6168550299368).

Almost surely, 2150433033104144 is an apocalyptic number.

150433033104144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

150433033104144 is an abundant number, since it is smaller than the sum of its proper divisors (343050990845296).

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

150433033104144 is a wasteful number, since it uses less digits than its factorization.

150433033104144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49746373405 (or 49746373393 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 150433033104144 its reverse (441401330334051), we get a palindrome (591834363438195).

The spelling of 150433033104144 in words is "one hundred fifty trillion, four hundred thirty-three billion, thirty-three million, one hundred four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 49746373381 99492746762 149239120143 198985493524 298478240286 348224613667 397970987048 447717360429 596956480572 696449227334 795941974096 895434720858 1044673841001 1193912961144 1343152081287 1392898454668 1790869441716 2089347682002 2387825922288 2686304162574 2785796909336 3134021523003 3581738883432 4178695364004 5372608325148 5571593818672 6268043046006 7163477766864 8357390728008 9402064569009 10745216650296 12536086092012 16714781456016 18804129138018 21490433300592 25072172184024 37608258276036 50144344368048 75216516552072 150433033104144