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153630322340 = 2251140912491367
BaseRepresentation
bin1000111100010100010…
…1001010111010100100
3112200112202112222220112
42033011011022322210
510004113330303330
6154324330552152
714046050123255
oct2170505127244
9480482488815
10153630322340
115a177348050
1225936598658
13116447181a1
147615994b2c
153ee2680795
hex23c514aea4

153630322340 has 96 divisors (see below), whose sum is σ = 353354400000. Its totient is φ = 55643627520.

The previous prime is 153630322289. The next prime is 153630322343. The reversal of 153630322340 is 43223036351.

It is a junction number, because it is equal to n+sod(n) for n = 153630322297 and 153630322306.

It is not an unprimeable number, because it can be changed into a prime (153630322343) 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, 112384337 + ... + 112385703.

It is an arithmetic number, because the mean of its divisors is an integer number (3680775000).

Almost surely, 2153630322340 is an apocalyptic number.

153630322340 is a gapful number since it is divisible by the number (10) 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 153630322340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176677200000).

153630322340 is an abundant number, since it is smaller than the sum of its proper divisors (199724077660).

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

153630322340 is a wasteful number, since it uses less digits than its factorization.

153630322340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3045 (or 3043 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 32.

Adding to 153630322340 its reverse (43223036351), we get a palindrome (196853358691).

The spelling of 153630322340 in words is "one hundred fifty-three billion, six hundred thirty million, three hundred twenty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 409 818 1249 1367 1636 2045 2498 2734 4090 4499 4996 5468 6245 6835 8180 8998 12490 13670 13739 15037 17996 22495 24980 27340 27478 30074 44990 54956 60148 68695 75185 89980 137390 150370 274780 300740 510841 559103 1021682 1118206 1707383 2043364 2236412 2554205 2795515 3414766 5108410 5591030 5619251 6150133 6829532 8536915 10216820 11182060 11238502 12300266 17073830 18781213 22477004 24600532 28096255 30750665 34147660 37562426 56192510 61501330 75124852 93906065 112385020 123002660 187812130 375624260 698319647 1396639294 2793278588 3491598235 6983196470 7681516117 13966392940 15363032234 30726064468 38407580585 76815161170 153630322340