Search a number
-
+
204014232334040 = 235172931333727397
BaseRepresentation
bin101110011000110011000011…
…110110001110111011011000
3222202100120101121222020110112
4232120303003312032323120
5203220032121434142130
62001522502223503452
760654353602213112
oct5630630366167330
9882316347866415
10204014232334040
115a006a4a570157
121aa6b3a9757b88
1389ab5c8861c3b
1438544ad2383b2
15188bd29772495
hexb98cc3d8eed8

204014232334040 has 128 divisors (see below), whose sum is σ = 519012849369600. Its totient is φ = 71764739235840.

The previous prime is 204014232334039. The next prime is 204014232334061. The reversal of 204014232334040 is 40433232410402.

It is a super-2 number, since 2×2040142323340402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 204014232333988 and 204014232334006.

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, 166252379 + ... + 167475018.

It is an arithmetic number, because the mean of its divisors is an integer number (4054787885700).

Almost surely, 2204014232334040 is an apocalyptic number.

204014232334040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204014232334040 is an abundant number, since it is smaller than the sum of its proper divisors (314998617035560).

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

204014232334040 is a wasteful number, since it uses less digits than its factorization.

204014232334040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333727485 (or 333727481 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 204014232334040 its reverse (40433232410402), we get a palindrome (244447464744442).

The spelling of 204014232334040 in words is "two hundred four trillion, fourteen billion, two hundred thirty-two million, three hundred thirty-four thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 29 31 34 40 58 62 68 85 116 124 136 145 155 170 232 248 290 310 340 493 527 580 620 680 899 986 1054 1160 1240 1798 1972 2108 2465 2635 3596 3944 4216 4495 4930 5270 7192 8990 9860 10540 15283 17980 19720 21080 30566 35960 61132 76415 122264 152830 305660 611320 333727397 667454794 1334909588 1668636985 2669819176 3337273970 5673365749 6674547940 9678094513 10345549307 11346731498 13349095880 19356189026 20691098614 22693462996 28366828745 38712378052 41382197228 45386925992 48390472565 51727746535 56733657490 77424756104 82764394456 96780945130 103455493070 113467314980 164527606721 175874338219 193561890260 206910986140 226934629960 300020929903 329055213442 351748676438 387123780520 413821972280 600041859806 658110426884 703497352876 822638033605 879371691095 1200083719612 1316220853768 1406994705752 1500104649515 1645276067210 1758743382190 2400167439224 3000209299030 3290552134420 3517486764380 5100355808351 6000418598060 6581104268840 7034973528760 10200711616702 12000837196120 20401423233404 25501779041755 40802846466808 51003558083510 102007116167020 204014232334040