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150224344712 = 231328321272
BaseRepresentation
bin1000101111101000010…
…0011001011010001000
3112100202101121101221222
42023322010121122020
54430124413012322
6153002341021212
713565461601321
oct2137204313210
9470671541858
10150224344712
11587897a9702
12251459b4808
1311220bab600
1473b14ad448
153d93646e42
hex22fa119688

150224344712 has 108 divisors (see below), whose sum is σ = 311173367445. Its totient is φ = 67959597888.

The previous prime is 150224344661. The next prime is 150224344717. The reversal of 150224344712 is 217443422051.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 128446259236 + 21778085476 = 358394^2 + 147574^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=274066.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (150224344717) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1182868793 + ... + 1182868919.

Almost surely, 2150224344712 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 150224344712

150224344712 is an abundant number, since it is smaller than the sum of its proper divisors (160949022733).

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

150224344712 is an equidigital number, since it uses as much as digits as its factorization.

150224344712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 35.

Adding to 150224344712 its reverse (217443422051), we get a palindrome (367667766763).

The spelling of 150224344712 in words is "one hundred fifty billion, two hundred twenty-four million, three hundred forty-four thousand, seven hundred twelve".

Divisors: 1 2 4 8 13 26 52 83 104 127 166 169 254 332 338 508 664 676 1016 1079 1352 1651 2158 3302 4316 6604 6889 8632 10541 13208 13778 14027 16129 21082 21463 27556 28054 32258 42164 42926 55112 56108 64516 84328 85852 89557 112216 129032 137033 171704 179114 209677 274066 358228 419354 548132 716456 838708 874903 1096264 1164241 1338707 1677416 1749806 1781429 2328482 2677414 2725801 3499612 3562858 4656964 5354828 5451602 6999224 7125716 9313928 10709656 10903204 11373739 14251432 17403191 21806408 22747478 34806382 45494956 69612764 90989912 111112681 139225528 147858607 222225362 226241483 295717214 444450724 452482966 591434428 888901448 904965932 1182868856 1444464853 1809931864 2888929706 5777859412 11555718824 18778043089 37556086178 75112172356 150224344712