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243500142536 = 23745324513
BaseRepresentation
bin1110001011000110111…
…1010100111111001000
3212021111221110212220122
43202301233110333020
512442142014030121
6303510141042412
723410106030000
oct3426157247710
9767457425818
10243500142536
11942a4534122
123b237856408
1319c6758aba1
14badd487000
1565023955ab
hex38b1bd4fc8

243500142536 has 120 divisors (see below), whose sum is σ = 542984297730. Its totient is φ = 102365512704.

The previous prime is 243500142497. The next prime is 243500142541. The reversal of 243500142536 is 635241005342.

It can be written as a sum of positive squares in 3 ways, for example, as 177825829636 + 65674312900 = 421694^2 + 256270^2 .

It is a super-2 number, since 2×2435001425362 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 243500142496 and 243500142505.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 53953016 + ... + 53957528.

Almost surely, 2243500142536 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 243500142536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271492148865).

243500142536 is an abundant number, since it is smaller than the sum of its proper divisors (299484155194).

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

243500142536 is an frugal number, since it uses more digits than its factorization.

243500142536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4653 (or 4575 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

Adding to 243500142536 its reverse (635241005342), we get a palindrome (878741147878).

The spelling of 243500142536 in words is "two hundred forty-three billion, five hundred million, one hundred forty-two thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 14 28 49 53 56 98 106 196 212 343 371 392 424 686 742 1372 1484 2401 2597 2744 2809 2968 4513 4802 5194 5618 9026 9604 10388 11236 18052 18179 19208 19663 20776 22472 31591 36104 36358 39326 63182 72716 78652 126364 127253 137641 145432 157304 221137 239189 252728 254506 275282 442274 478378 509012 550564 884548 956756 963487 1018024 1101128 1547959 1674323 1769096 1913512 1926974 3095918 3348646 3853948 6191836 6697292 6744409 7707896 10835713 11720261 12383672 12677017 13394584 13488818 21671426 23440522 25354034 26977636 43342852 46881044 50708068 53955272 82041827 86685704 88739119 93762088 101416136 164083654 177478238 328167308 354956476 574292789 621173833 656334616 709912952 1148585578 1242347666 2297171156 2484695332 4348216831 4594342312 4969390664 8696433662 17392867324 30437517817 34785734648 60875035634 121750071268 243500142536