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144004436744 = 2373379138469
BaseRepresentation
bin1000011000011101010…
…1010101001100001000
3111202200220202100021012
42012013111111030020
54324410113433434
6150053230503052
713255364342000
oct2060725251410
9452626670235
10144004436744
11560878287a3
1223aaa964a88
131076c3a7cac
146d813b9000
153b2c5713ce
hex2187555308

144004436744 has 64 divisors (see below), whose sum is σ = 315711600000. Its totient is φ = 61552903104.

The previous prime is 144004436683. The next prime is 144004436747. The reversal of 144004436744 is 447634400441.

It is not an unprimeable number, because it can be changed into a prime (144004436747) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 970742 + ... + 1109210.

It is an arithmetic number, because the mean of its divisors is an integer number (4932993750).

Almost surely, 2144004436744 is an apocalyptic number.

144004436744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144004436744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157855800000).

144004436744 is an abundant number, since it is smaller than the sum of its proper divisors (171707163256).

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

144004436744 is a wasteful number, since it uses less digits than its factorization.

144004436744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138875 (or 138857 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 41.

The spelling of 144004436744 in words is "one hundred forty-four billion, four million, four hundred thirty-six thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 343 379 392 686 758 1372 1516 2653 2744 3032 5306 10612 18571 21224 37142 74284 129997 138469 148568 259994 276938 519988 553876 969283 1039976 1107752 1938566 3877132 6784981 7754264 13569962 27139924 47494867 52479751 54279848 94989734 104959502 189979468 209919004 367358257 379958936 419838008 734716514 1469433028 2571507799 2938866056 5143015598 10286031196 18000554593 20572062392 36001109186 72002218372 144004436744