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144120302032 = 2472419115861
BaseRepresentation
bin1000011000111000111…
…1010100100111010000
3111202222222202220120011
42012032033110213100
54330124244131112
6150112530124304
713261302232450
oct2061617244720
9452888686504
10144120302032
1156137176033
1223b21720694
131078a3b4c35
146d92939d60
153b3780baa7
hex218e3d49d0

144120302032 has 80 divisors (see below), whose sum is σ = 320854178304. Its totient is φ = 61431552000.

The previous prime is 144120302021. The next prime is 144120302041. The reversal of 144120302032 is 230203021441.

It is a super-2 number, since 2×1441203020322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144120301994 and 144120302012.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 24586782 + ... + 24592642.

Almost surely, 2144120302032 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 144120302032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160427089152).

144120302032 is an abundant number, since it is smaller than the sum of its proper divisors (176733876272).

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

144120302032 is a wasteful number, since it uses less digits than its factorization.

144120302032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7028 (or 7022 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 144120302032 its reverse (230203021441), we get a palindrome (374323323473).

The spelling of 144120302032 in words is "one hundred forty-four billion, one hundred twenty million, three hundred two thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 241 482 911 964 1687 1822 1928 3374 3644 3856 5861 6377 6748 7288 11722 12754 13496 14576 23444 25508 26992 41027 46888 51016 82054 93776 102032 164108 219551 328216 439102 656432 878204 1412501 1536857 1756408 2825002 3073714 3512816 5339371 5650004 6147428 9887507 10678742 11300008 12294856 19775014 21357484 22600016 24589712 37375597 39550028 42714968 74751194 79100056 85429936 149502388 158200112 299004776 598009552 1286788411 2573576822 5147153644 9007518877 10294307288 18015037754 20588614576 36030075508 72060151016 144120302032