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144857422224 = 2433794244533
BaseRepresentation
bin1000011011101000101…
…1001101100110010000
3111211220100210111101000
42012322023031212100
54333132000002344
6150314021142000
713315462526064
oct2067213154620
9454810714330
10144857422224
1156485269379
12240a855a900
1310877020128
1470227b7aa4
153b7c3b2a69
hex21ba2cd990

144857422224 has 80 divisors (see below), whose sum is σ = 421057772800. Its totient is φ = 47674583424.

The previous prime is 144857422163. The next prime is 144857422243. The reversal of 144857422224 is 422224758441.

It is a happy number.

144857422224 is a `hidden beast` number, since 14 + 48 + 574 + 2 + 2 + 2 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 144857422224.

It is an unprimeable number.

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, 2088139 + ... + 2156394.

It is an arithmetic number, because the mean of its divisors is an integer number (5263222160).

Almost surely, 2144857422224 is an apocalyptic number.

It is an amenable number.

144857422224 is an abundant number, since it is smaller than the sum of its proper divisors (276200350576).

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

144857422224 is a wasteful number, since it uses less digits than its factorization.

144857422224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4244629 (or 4244617 counting only the distinct ones).

The product of its digits is 1146880, while the sum is 45.

The spelling of 144857422224 in words is "one hundred forty-four billion, eight hundred fifty-seven million, four hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 79 108 144 158 216 237 316 432 474 632 711 948 1264 1422 1896 2133 2844 3792 4266 5688 8532 11376 17064 34128 4244533 8489066 12733599 16978132 25467198 33956264 38200797 50934396 67912528 76401594 101868792 114602391 152803188 203737584 229204782 305606376 335318107 458409564 611212752 670636214 916819128 1005954321 1341272428 1833638256 2011908642 2682544856 3017862963 4023817284 5365089712 6035725926 8047634568 9053588889 12071451852 16095269136 18107177778 24142903704 36214355556 48285807408 72428711112 144857422224