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144090519690 = 235132937344327
BaseRepresentation
bin1000011000110001110…
…1101101100010001010
3111202220220201210212110
42012030131231202022
54330044133112230
6150105543523150
713260461131455
oct2061435554212
9452826653773
10144090519690
1156121384127
1223b137594b6
1310784188050
146d8c9c649c
153b34dc74b0
hex218c76d88a

144090519690 has 128 divisors (see below), whose sum is σ = 395674191360. Its totient is φ = 33319738368.

The previous prime is 144090519611. The next prime is 144090519701. The reversal of 144090519690 is 96915090441.

It is a happy number.

It is a super-2 number, since 2×1440905196902 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 246307 + ... + 590633.

It is an arithmetic number, because the mean of its divisors is an integer number (3091204620).

Almost surely, 2144090519690 is an apocalyptic number.

144090519690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144090519690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197837095680).

144090519690 is an abundant number, since it is smaller than the sum of its proper divisors (251583671670).

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

144090519690 is a wasteful number, since it uses less digits than its factorization.

144090519690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344416.

The product of its (nonzero) digits is 349920, while the sum is 48.

The spelling of 144090519690 in words is "one hundred forty-four billion, ninety million, five hundred nineteen thousand, six hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 29 30 37 39 58 65 74 78 87 111 130 145 174 185 195 222 290 370 377 390 435 481 555 754 870 962 1073 1110 1131 1443 1885 2146 2262 2405 2886 3219 3770 4810 5365 5655 6438 7215 10730 11310 13949 14430 16095 27898 32190 41847 69745 83694 139490 209235 344327 418470 688654 1032981 1721635 2065962 3443270 4476251 5164905 8952502 9985483 10329810 12740099 13428753 19970966 22381255 25480198 26857506 29956449 38220297 44762510 49927415 59912898 63700495 67143765 76440594 99854830 127400990 129811279 134287530 149782245 165621287 191101485 259622558 299564490 331242574 369462871 382202970 389433837 496863861 649056395 738925742 778867674 828106435 993727722 1108388613 1298112790 1656212870 1847314355 1947169185 2216777226 2484319305 3694628710 3894338370 4803017323 4968638610 5541943065 9606034646 11083886130 14409051969 24015086615 28818103938 48030173230 72045259845 144090519690