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44124949572 = 223117312913547
BaseRepresentation
bin101001000110000011…
…010100110001000100
311012220010212200112120
4221012003110301010
51210331441341242
632134250445540
73121312611564
oct510603246104
9135803780476
1044124949572
1117793424780
1286754338b0
134212841a22
1421c8368da4
151233bde1ec
hexa460d4c44

44124949572 has 96 divisors (see below), whose sum is σ = 113976973824. Its totient is φ = 13174099200.

The previous prime is 44124949543. The next prime is 44124949577. The reversal of 44124949572 is 27594942144.

It is a super-3 number, since 3×441249495723 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (44124949577) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 12438303 + ... + 12441849.

It is an arithmetic number, because the mean of its divisors is an integer number (1187260144).

Almost surely, 244124949572 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 44124949572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56988486912).

44124949572 is an abundant number, since it is smaller than the sum of its proper divisors (69852024252).

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

44124949572 is a wasteful number, since it uses less digits than its factorization.

44124949572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4929 (or 4927 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 51.

The spelling of 44124949572 in words is "forty-four billion, one hundred twenty-four million, nine hundred forty-nine thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 73 132 146 219 292 438 803 876 1291 1606 2409 2582 3212 3547 3873 4818 5164 7094 7746 9636 10641 14188 14201 15492 21282 28402 39017 42564 42603 56804 78034 85206 94243 117051 156068 170412 188486 234102 258931 282729 376972 468204 517862 565458 776793 1035724 1036673 1130916 1553586 2073346 2848241 3107172 3110019 4146692 4579177 5696482 6220038 8544723 9158354 11392964 12440076 13737531 17089446 18316708 27475062 34178892 50370947 54950124 100741894 151112841 201483788 302225682 334279921 604451364 668559842 1002839763 1337119684 2005679526 3677079131 4011359052 7354158262 11031237393 14708316524 22062474786 44124949572