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44253035244 = 223211219153189
BaseRepresentation
bin101001001101101011…
…111011101011101100
311020020001220010001100
4221031223323223230
51211112234111434
632155104043100
73124426410315
oct511553735354
9136201803040
1044253035244
1117849759400
1286b0303490
13423323a072
1421db38b60c
151240090699
hexa4dafbaec

44253035244 has 108 divisors (see below), whose sum is σ = 123601645440. Its totient is φ = 13339550400.

The previous prime is 44253035231. The next prime is 44253035249.

44253035244 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×442530352442 (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 44253035199 and 44253035208.

It is not an unprimeable number, because it can be changed into a prime (44253035249) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 805402 + ... + 858590.

It is an arithmetic number, because the mean of its divisors is an integer number (1144459680).

Almost surely, 244253035244 is an apocalyptic number.

44253035244 is a gapful number since it is divisible by the number (44) 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 44253035244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61800822720).

44253035244 is an abundant number, since it is smaller than the sum of its proper divisors (79348610196).

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

44253035244 is a wasteful number, since it uses less digits than its factorization.

44253035244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53412 (or 53396 counting only the distinct ones).

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

It can be divided in two parts, 442530 and 35244, that added together give a palindrome (477774).

The spelling of 44253035244 in words is "forty-four billion, two hundred fifty-three million, thirty-five thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 191 198 242 363 382 396 484 573 726 764 1089 1146 1452 1719 2101 2178 2292 3438 4202 4356 6303 6876 8404 12606 18909 23111 25212 37818 46222 53189 69333 75636 92444 106378 138666 159567 207999 212756 277332 319134 415998 478701 585079 638268 831996 957402 1170158 1755237 1914804 2340316 3510474 5265711 6435869 7020948 10159099 10531422 12871738 19307607 20318198 21062844 25743476 30477297 38615214 40636396 57922821 60954594 77230428 91431891 111750089 115845642 121909188 182863782 223500178 231691284 335250267 365727564 447000356 670500534 1005750801 1229250979 1341001068 2011501602 2458501958 3687752937 4023003204 4917003916 7375505874 11063258811 14751011748 22126517622 44253035244