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145121404344 = 23373197287269
BaseRepresentation
bin1000011100100111101…
…0001110010110111000
3111212120202112011202120
42013021322032112320
54334202034414334
6150400131201240
713325146404210
oct2071172162670
9455522464676
10145121404344
1156600282014
1224160a46220
13108b9919a77
147049893240
153b95659949
hex21c9e8e5b8

145121404344 has 128 divisors (see below), whose sum is σ = 432421785600. Its totient is φ = 39711928320.

The previous prime is 145121404301. The next prime is 145121404357. The reversal of 145121404344 is 443404121541.

145121404344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 361542 + ... + 648810.

It is an arithmetic number, because the mean of its divisors is an integer number (3378295200).

Almost surely, 2145121404344 is an apocalyptic number.

145121404344 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 145121404344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216210892800).

145121404344 is an abundant number, since it is smaller than the sum of its proper divisors (287300381256).

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

145121404344 is a wasteful number, since it uses less digits than its factorization.

145121404344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287413 (or 287409 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

Adding to 145121404344 its reverse (443404121541), we get a palindrome (588525525885).

The spelling of 145121404344 in words is "one hundred forty-five billion, one hundred twenty-one million, four hundred four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 97 124 168 186 194 217 248 291 372 388 434 582 651 679 744 776 868 1164 1302 1358 1736 2037 2328 2604 2716 3007 4074 5208 5432 6014 8148 9021 12028 16296 18042 21049 24056 36084 42098 63147 72168 84196 126294 168392 252588 287269 505176 574538 861807 1149076 1723614 2010883 2298152 3447228 4021766 6032649 6894456 8043532 8905339 12065298 16087064 17810678 24130596 26716017 27865093 35621356 48261192 53432034 55730186 62337373 71242712 83595279 106864068 111460372 124674746 167190558 187012119 195055651 213728136 222920744 249349492 334381116 374024238 390111302 498698984 585166953 668762232 748048476 780222604 863817883 1170333906 1496096952 1560445208 1727635766 2340667812 2591453649 3455271532 4681335624 5182907298 6046725181 6910543064 10365814596 12093450362 18140175543 20731629192 24186900724 36280351086 48373801448 72560702172 145121404344