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44102133024 = 25319131184571
BaseRepresentation
bin101001000100101100…
…010010010100100000
311012211112221111010020
4221010230102110200
51210310121224044
632132113433440
73120614642205
oct510454222440
9135745844106
1044102133024
1117781560324
12866986b880
13420abb3601
1421c5309cac
151231bd3a19
hexa44b12520

44102133024 has 96 divisors (see below), whose sum is σ = 122792060160. Its totient is φ = 13820601600.

The previous prime is 44102132999. The next prime is 44102133029. The reversal of 44102133024 is 42033120144.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 44102132985 and 44102133003.

It is not an unprimeable number, because it can be changed into a prime (44102133029) 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, 146659 + ... + 331229.

It is an arithmetic number, because the mean of its divisors is an integer number (1279083960).

Almost surely, 244102133024 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 44102133024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61396030080).

44102133024 is an abundant number, since it is smaller than the sum of its proper divisors (78689927136).

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

44102133024 is a wasteful number, since it uses less digits than its factorization.

44102133024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184734 (or 184726 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 44102133024 its reverse (42033120144), we get a palindrome (86135253168).

The spelling of 44102133024 in words is "forty-four billion, one hundred two million, one hundred thirty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 131 152 228 262 304 393 456 524 608 786 912 1048 1572 1824 2096 2489 3144 4192 4978 6288 7467 9956 12576 14934 19912 29868 39824 59736 79648 119472 184571 238944 369142 553713 738284 1107426 1476568 2214852 2953136 3506849 4429704 5906272 7013698 8859408 10520547 14027396 17718816 21041094 24178801 28054792 42082188 48357602 56109584 72536403 84164376 96715204 112219168 145072806 168328752 193430408 290145612 336657504 386860816 459397219 580291224 773721632 918794438 1160582448 1378191657 1837588876 2321164896 2756383314 3675177752 5512766628 7350355504 11025533256 14700711008 22051066512 44102133024