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234031144531020 = 22359754137428697
BaseRepresentation
bin110101001101100110011111…
…001111000111010001001100
31010200122011021211221121202120
4311031212133033013101030
5221133331240444443040
62145424231254052540
7100203122634121134
oct6515463717072114
91120564254847676
10234031144531020
116862a0619aa101
12222b897894a150
13a078071a31625
1441b124c769ac4
151c0ca4917c7d0
hexd4d99f3c744c

234031144531020 has 96 divisors (see below), whose sum is σ = 662165138083008. Its totient is φ = 61753501827072.

The previous prime is 234031144531007. The next prime is 234031144531031. The reversal of 234031144531020 is 20135441130432.

It is a super-2 number, since 2×2340311445310202 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27789312 + ... + 35218008.

It is an arithmetic number, because the mean of its divisors is an integer number (6897553521698).

Almost surely, 2234031144531020 is an apocalyptic number.

234031144531020 is a gapful number since it is divisible by the number (20) 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 234031144531020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331082569041504).

234031144531020 is an abundant number, since it is smaller than the sum of its proper divisors (428133993551988).

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

234031144531020 is a wasteful number, since it uses less digits than its factorization.

234031144531020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7434219 (or 7434217 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 234031144531020 its reverse (20135441130432), we get a palindrome (254166585661452).

The spelling of 234031144531020 in words is "two hundred thirty-four trillion, thirty-one billion, one hundred forty-four million, five hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 97 194 291 388 485 582 970 1164 1455 1940 2910 5413 5820 10826 16239 21652 27065 32478 54130 64956 81195 108260 162390 324780 525061 1050122 1575183 2100244 2625305 3150366 5250610 6300732 7428697 7875915 10501220 14857394 15751830 22286091 29714788 31503660 37143485 44572182 74286970 89144364 111430455 148573940 222860910 445721820 720583609 1441167218 2161750827 2882334436 3602918045 4323501654 7205836090 8647003308 10808754135 14411672180 21617508270 40211536861 43235016540 80423073722 120634610583 160846147444 201057684305 241269221166 402115368610 482538442332 603173052915 804230737220 1206346105830 2412692211660 3900519075517 7801038151034 11701557226551 15602076302068 19502595377585 23403114453102 39005190755170 46806228906204 58507786132755 78010381510340 117015572265510 234031144531020