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150195421224 = 233229212719531
BaseRepresentation
bin1000101111100001011…
…0000100000000101000
3112100200101011221101200
42023320112010000220
54430100011434344
6152555425044200
713564661005302
oct2137026040050
9470611157350
10150195421224
1158774443aa2
1225138186660
1311217bc2614
1473ab700972
153d90d32069
hex22f8584028

150195421224 has 144 divisors (see below), whose sum is σ = 424628805120. Its totient is φ = 47955680640.

The previous prime is 150195421199. The next prime is 150195421231. The reversal of 150195421224 is 422124591051.

150195421224 is a `hidden beast` number, since 1 + 5 + 0 + 1 + 9 + 5 + 421 + 224 = 666.

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

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 35 ways as a sum of consecutive naturals, for example, 7680339 + ... + 7699869.

Almost surely, 2150195421224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150195421224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212314402560).

150195421224 is an abundant number, since it is smaller than the sum of its proper divisors (274433383896).

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

150195421224 is a wasteful number, since it uses less digits than its factorization.

150195421224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19728 (or 19692 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 150195421224 in words is "one hundred fifty billion, one hundred ninety-five million, four hundred twenty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 127 174 232 254 261 348 381 508 522 696 762 841 1016 1044 1143 1524 1682 2088 2286 2523 3048 3364 3683 4572 5046 6728 7366 7569 9144 10092 11049 14732 15138 19531 20184 22098 29464 30276 33147 39062 44196 58593 60552 66294 78124 88392 106807 117186 132588 156248 175779 213614 234372 265176 320421 351558 427228 468744 566399 640842 703116 854456 961263 1132798 1281684 1406232 1699197 1922526 2265596 2480437 2563368 3398394 3845052 4531192 4960874 5097591 6796788 7441311 7690104 9921748 10195182 13593576 14882622 16425571 19843496 20390364 22323933 29765244 32851142 40780728 44647866 49276713 59530488 65702284 71932673 89295732 98553426 131404568 143865346 147830139 178591464 197106852 215798019 287730692 295660278 394213704 431596038 575461384 591320556 647394057 863192076 1182641112 1294788114 1726384152 2086047517 2589576228 4172095034 5179152456 6258142551 8344190068 12516285102 16688380136 18774427653 25032570204 37548855306 50065140408 75097710612 150195421224