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144406022346 = 23341344918911
BaseRepresentation
bin1000011001111101000…
…1010000100011001010
3111210201220102000011000
42012133101100203022
54331220420203341
6150201134115430
713301341636335
oct2063721204312
9453656360130
10144406022346
1156273486a23
1223ba134bb76
1310804653201
146dbc87361c
153b529498b6
hex219f4508ca

144406022346 has 64 divisors (see below), whose sum is σ = 328841856000. Its totient is φ = 46945209600.

The previous prime is 144406022339. The next prime is 144406022357. The reversal of 144406022346 is 643220604441.

144406022346 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 0 + 602 + 2 + 3 + 46 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 144406022346.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7626631 + ... + 7645541.

It is an arithmetic number, because the mean of its divisors is an integer number (5138154000).

Almost surely, 2144406022346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144406022346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164420928000).

144406022346 is an abundant number, since it is smaller than the sum of its proper divisors (184435833654).

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

144406022346 is a wasteful number, since it uses less digits than its factorization.

144406022346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22412 (or 22406 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 144406022346 its reverse (643220604441), we get a palindrome (787626626787).

The spelling of 144406022346 in words is "one hundred forty-four billion, four hundred six million, twenty-two thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 246 369 738 1107 2214 3449 6898 10347 18911 20694 31041 37822 56733 62082 93123 113466 141409 170199 186246 282818 340398 424227 510597 775351 848454 1021194 1272681 1550702 2326053 2545362 3818043 4652106 6978159 7636086 13956318 20934477 41868954 65224039 130448078 195672117 391344234 587016351 1174032702 1761049053 2674185599 3522098106 5348371198 8022556797 16045113594 24067670391 48135340782 72203011173 144406022346