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144414551104 = 265988343313
BaseRepresentation
bin1000011001111111000…
…1110010110001000000
3111210202111110022101221
42012133301302301000
54331230111113404
6150202041004424
713301504300455
oct2063761626100
9453674408357
10144414551104
115627828178a
1223ba4183714
131080634b205
146dbda5382c
153b53581954
hex219fc72c40

144414551104 has 56 divisors (see below), whose sum is σ = 291766569120. Its totient is φ = 70901397504.

The previous prime is 144414551059. The next prime is 144414551129. The reversal of 144414551104 is 401155414441.

It is a self number, because there is not a number n which added to its sum of digits gives 144414551104.

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 7 ways as a sum of consecutive naturals, for example, 3312552 + ... + 3355864.

Almost surely, 2144414551104 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 144414551104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145883284560).

144414551104 is an abundant number, since it is smaller than the sum of its proper divisors (147352018016).

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

144414551104 is an equidigital number, since it uses as much as digits as its factorization.

144414551104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44267 (or 44257 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 34.

Adding to 144414551104 its reverse (401155414441), we get a palindrome (545569965545).

The spelling of 144414551104 in words is "one hundred forty-four billion, four hundred fourteen million, five hundred fifty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 32 59 64 118 236 472 883 944 1766 1888 3532 3776 7064 14128 28256 43313 52097 56512 86626 104194 173252 208388 346504 416776 693008 833552 1386016 1667104 2555467 2772032 3334208 5110934 10221868 20443736 38245379 40887472 76490758 81774944 152981516 163549888 305963032 611926064 1223852128 2256477361 2447704256 4512954722 9025909444 18051818888 36103637776 72207275552 144414551104