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44053435044 = 223217239301183
BaseRepresentation
bin101001000001110010…
…100001001010100100
311012201011022101001100
4221001302201022210
51210210134410134
632123214000100
73116454006453
oct510162411244
9135634271040
1044053435044
1117757019863
1286554a6030
134200a92a38
1421bca70b9a
15122c7b4999
hexa41ca12a4

44053435044 has 72 divisors (see below), whose sum is σ = 118401454080. Its totient is φ = 13762812672.

The previous prime is 44053435039. The next prime is 44053435051.

44053435044 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4324 + ... + 296859.

It is an arithmetic number, because the mean of its divisors is an integer number (1644464640).

Almost surely, 244053435044 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 44053435044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59200727040).

44053435044 is an abundant number, since it is smaller than the sum of its proper divisors (74348019036).

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

44053435044 is a wasteful number, since it uses less digits than its factorization.

44053435044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301449 (or 301444 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

The spelling of 44053435044 in words is "forty-four billion, fifty-three million, four hundred thirty-five thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 239 306 478 612 717 956 1434 2151 2868 4063 4302 8126 8604 12189 16252 24378 36567 48756 73134 146268 301183 602366 903549 1204732 1807098 2710647 3614196 5120111 5421294 10240222 10842588 15360333 20480444 30720666 46080999 61441332 71982737 92161998 143965474 184323996 215948211 287930948 431896422 647844633 863792844 1223706529 1295689266 2447413058 2591378532 3671119587 4894826116 7342239174 11013358761 14684478348 22026717522 44053435044