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44211024342 = 23319173249079
BaseRepresentation
bin101001001011001011…
…101011000111010110
311020010010211201221000
4221023023223013112
51211021010234332
632151003404130
73123406335462
oct511313530726
9136103751830
1044211024342
1117827a74a51
12869a223646
13422761b144
1421d59734a2
15123b542b7c
hexa4b2eb1d6

44211024342 has 64 divisors (see below), whose sum is σ = 104015808000. Its totient is φ = 13880618784.

The previous prime is 44211024329. The next prime is 44211024353. The reversal of 44211024342 is 24342011244.

It is a super-2 number, since 2×442110243422 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52959 + ... + 302037.

It is an arithmetic number, because the mean of its divisors is an integer number (1625247000).

Almost surely, 244211024342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44211024342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52007904000).

44211024342 is an abundant number, since it is smaller than the sum of its proper divisors (59804783658).

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

44211024342 is a wasteful number, since it uses less digits than its factorization.

44211024342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249282 (or 249276 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 44211024342 its reverse (24342011244), we get a palindrome (68553035586).

The spelling of 44211024342 in words is "forty-four billion, two hundred eleven million, twenty-four thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 173 342 346 513 519 1026 1038 1557 3114 3287 4671 6574 9342 9861 19722 29583 59166 88749 177498 249079 498158 747237 1494474 2241711 4483422 4732501 6725133 9465002 13450266 14197503 28395006 42592509 43090667 85185018 86181334 127777527 129272001 255555054 258544002 387816003 775632006 818722673 1163448009 1637445346 2326896018 2456168019 4912336038 7368504057 14737008114 22105512171 44211024342