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123140560144 = 2472598126261
BaseRepresentation
bin111001010101110111…
…1111101010100010000
3102202211212200121002211
41302223233331110100
54004142440411034
6132323041321504
711616352330300
oct1625357752420
9382755617084
10123140560144
11482506aa478
121ba47636294
13b7c5a43b94
145d6249b600
15330aa61d64
hex1cabbfd510

123140560144 has 60 divisors (see below), whose sum is σ = 277594434828. Its totient is φ = 52763692800.

The previous prime is 123140560141. The next prime is 123140560187. The reversal of 123140560144 is 441065041321.

It can be written as a sum of positive squares in 2 ways, for example, as 1813737744 + 121326822400 = 42588^2 + 348320^2 .

It is not an unprimeable number, because it can be changed into a prime (123140560141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4675974 + ... + 4702234.

Almost surely, 2123140560144 is an apocalyptic number.

123140560144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

123140560144 is an abundant number, since it is smaller than the sum of its proper divisors (154453874684).

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

123140560144 is a wasteful number, since it uses less digits than its factorization.

123140560144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32264 (or 32251 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The spelling of 123140560144 in words is "one hundred twenty-three billion, one hundred forty million, five hundred sixty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 5981 11962 23924 26261 41867 47848 52522 83734 95696 105044 167468 183827 210088 293069 334936 367654 420176 586138 669872 735308 1172276 1286789 1470616 2344552 2573578 2941232 4689104 5147156 10294312 20588624 157067041 314134082 628268164 1099469287 1256536328 2198938574 2513072656 4397877148 7696285009 8795754296 15392570018 17591508592 30785140036 61570280072 123140560144