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145344324244 = 227171916699629
BaseRepresentation
bin1000011101011100110…
…0100110001010010100
3111220011021222200101011
42013113030212022110
54340131121333434
6150434213142004
713333524241360
oct2072714461224
9456137880334
10145344324244
115670509a039
122420362a904
1310923b6a532
14706b3202a0
153ba9edee64
hex21d7326294

145344324244 has 96 divisors (see below), whose sum is σ = 324215136000. Its totient is φ = 55501645824.

The previous prime is 145344324211. The next prime is 145344324247. The reversal of 145344324244 is 442423443541.

It is a super-2 number, since 2×1453443242442 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145344324197 and 145344324206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145344324247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15089622 + ... + 15099250.

It is an arithmetic number, because the mean of its divisors is an integer number (3377241000).

Almost surely, 2145344324244 is an apocalyptic number.

145344324244 is a gapful number since it is divisible by the number (14) 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 145344324244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162107568000).

145344324244 is an abundant number, since it is smaller than the sum of its proper divisors (178870811756).

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

145344324244 is a wasteful number, since it uses less digits than its factorization.

145344324244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11345 (or 11343 counting only the distinct ones).

The product of its digits is 737280, while the sum is 40.

Adding to 145344324244 its reverse (442423443541), we get a palindrome (587767767785).

The spelling of 145344324244 in words is "one hundred forty-five billion, three hundred forty-four million, three hundred twenty-four thousand, two hundred forty-four".

Divisors: 1 2 4 7 14 17 19 28 34 38 68 76 119 133 238 266 323 476 532 646 1292 1669 2261 3338 4522 6676 9044 9629 11683 19258 23366 28373 31711 38516 46732 56746 63422 67403 113492 126844 134806 163693 182951 198611 221977 269612 327386 365902 397222 443954 539087 654772 731804 794444 887908 1078174 1145851 1280657 2156348 2291702 2561314 3110167 3773609 4583404 5122628 6220334 7547218 12440668 15094436 16070801 21771169 32141602 43542338 64283204 87084676 112495607 224991214 273203617 305345219 449982428 546407234 610690438 1092814468 1221380876 1912425319 2137416533 3824850638 4274833066 5190868723 7649701276 8549666132 10381737446 20763474892 36336081061 72672162122 145344324244