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150021415214541 = 321353109509436061
BaseRepresentation
bin100010000111000110010101…
…001010011001110111001101
3201200011220111100222102001200
4202013012111022121313031
5124130422324243331131
61251022515310300113
743412455344111243
oct4207062512316715
9650156440872050
10150021415214541
114388a7a7924982
12149ab1a44b7639
136592c604bb4b0
14290910a654793
1512526045482e6
hex887195299dcd

150021415214541 has 96 divisors (see below), whose sum is σ = 240423132549600. Its totient is φ = 89571440424960.

The previous prime is 150021415214519. The next prime is 150021415214549. The reversal of 150021415214541 is 145412514120051.

150021415214541 is a `hidden beast` number, since 1 + 5 + 0 + 0 + 21 + 41 + 52 + 1 + 4 + 541 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 4105790375625 + 145915624838916 = 2026275^2 + 12079554^2 .

It is not a de Polignac number, because 150021415214541 - 215 = 150021415181773 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 150021415214496 and 150021415214505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150021415214549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 343819651 + ... + 344255711.

It is an arithmetic number, because the mean of its divisors is an integer number (2504407630725).

Almost surely, 2150021415214541 is an apocalyptic number.

It is an amenable number.

150021415214541 is a deficient number, since it is larger than the sum of its proper divisors (90401717335059).

150021415214541 is a wasteful number, since it uses less digits than its factorization.

150021415214541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436751 (or 436748 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

Adding to 150021415214541 its reverse (145412514120051), we get a palindrome (295433929334592).

The spelling of 150021415214541 in words is "one hundred fifty trillion, twenty-one billion, four hundred fifteen million, two hundred fourteen thousand, five hundred forty-one".

Divisors: 1 3 9 13 39 53 109 117 159 327 477 509 689 981 1417 1527 2067 4251 4581 5777 6201 6617 12753 17331 19851 26977 51993 55481 59553 75101 80931 166443 225303 242793 350701 436061 499329 675909 721253 1052103 1308183 2163759 2940493 3156309 3924549 5668793 6491277 8821479 17006379 23111233 26464437 38226409 47530649 51019137 69333699 114679227 142591947 208001097 221955049 300446029 344037681 427775841 617898437 665865147 901338087 1853695311 1997595441 2519124397 2704014261 2885415637 5561085933 7557373191 8656246911 11763617597 22672119573 24193100341 25968740733 32748617161 35290852791 72579301023 98245851483 105872558373 152927028761 217737903069 294737554449 314510304433 458781086283 943530913299 1282234318073 1376343258849 2830592739897 3846702954219 11540108862657 16669046134949 50007138404847 150021415214541