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234432340342140 = 223513186813435779
BaseRepresentation
bin110101010011011100001000…
…010111101011010101111100
31010202001111211212122111020010
4311103130020113223111330
5221211414413111422030
62150332421432423220
7100244114636213013
oct6523341027532574
91122044755574203
10234432340342140
1168774219537056
1222362684547b10
13a0a6b4b0285c5
1441c682b68ba7a
151c181caa356b0
hexd537085eb57c

234432340342140 has 96 divisors (see below), whose sum is σ = 661497704904960. Its totient is φ = 62030910323200.

The previous prime is 234432340342049. The next prime is 234432340342159. The reversal of 234432340342140 is 41243043234432.

It is a happy number.

It is a congruent number.

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, 66514771 + ... + 69950549.

It is an arithmetic number, because the mean of its divisors is an integer number (6890601092760).

Almost surely, 2234432340342140 is an apocalyptic number.

234432340342140 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 234432340342140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330748852452480).

234432340342140 is an abundant number, since it is smaller than the sum of its proper divisors (427065364562820).

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

234432340342140 is a wasteful number, since it uses less digits than its factorization.

234432340342140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3444603 (or 3444601 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 39.

Adding to 234432340342140 its reverse (41243043234432), we get a palindrome (275675383576572).

The spelling of 234432340342140 in words is "two hundred thirty-four trillion, four hundred thirty-two billion, three hundred forty million, three hundred forty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 131 262 393 524 655 786 1310 1572 1965 2620 3930 7860 8681 17362 26043 34724 43405 52086 86810 104172 130215 173620 260430 520860 1137211 2274422 3411633 3435779 4548844 5686055 6823266 6871558 10307337 11372110 13646532 13743116 17058165 17178895 20614674 22744220 34116330 34357790 41229348 51536685 68232660 68715580 103073370 206146740 450087049 900174098 1350261147 1800348196 2250435245 2700522294 4500870490 5401044588 6751305735 9001740980 13502611470 27005222940 29825997499 59651994998 89477992497 119303989996 149129987495 178955984994 298259974990 357911969988 447389962485 596519949980 894779924970 1789559849940 3907205672369 7814411344738 11721617017107 15628822689476 19536028361845 23443234034214 39072056723690 46886468068428 58608085085535 78144113447380 117216170171070 234432340342140