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242198966136 = 2331723195113229
BaseRepresentation
bin1110000110010000101…
…1101110111101111000
3212011011021002021110010
43201210023232331320
512432010413404021
6303133100221520
723332626146541
oct3414413567570
9764137067403
10242198966136
1193797003026
123ab33b3a8a0
1319abab3061a
14ba1873b4c8
156478021976
hex38642eef78

242198966136 has 128 divisors (see below), whose sum is σ = 669382963200. Its totient is φ = 72637593600.

The previous prime is 242198966131. The next prime is 242198966197. The reversal of 242198966136 is 631669891242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242198966131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18301570 + ... + 18314798.

It is an arithmetic number, because the mean of its divisors is an integer number (5229554400).

Almost surely, 2242198966136 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 242198966136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334691481600).

242198966136 is an abundant number, since it is smaller than the sum of its proper divisors (427183997064).

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

242198966136 is a wasteful number, since it uses less digits than its factorization.

242198966136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15229 (or 15225 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 57.

The spelling of 242198966136 in words is "two hundred forty-two billion, one hundred ninety-eight million, nine hundred sixty-six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 17 23 24 34 46 51 68 69 92 102 136 138 184 204 276 391 408 552 782 1173 1564 1951 2346 3128 3902 4692 5853 7804 9384 11706 13229 15608 23412 26458 33167 39687 44873 46824 52916 66334 79374 89746 99501 105832 132668 134619 158748 179492 199002 224893 265336 269238 304267 317496 358984 398004 449786 538476 608534 674679 762841 796008 899572 912801 1076952 1217068 1349358 1525682 1799144 1825602 2288523 2434136 2698716 3051364 3651204 4577046 5172539 5397432 6102728 7302408 9154092 10345078 15517617 18308184 20690156 25809779 31035234 41380312 51619558 62070468 77429337 103239116 124140936 154858674 206478232 309717348 438766243 593624917 619434696 877532486 1187249834 1316298729 1755064972 1780874751 2374499668 2632597458 3510129944 3561749502 4748999336 5265194916 7123499004 10091623589 10530389832 14246998008 20183247178 30274870767 40366494356 60549741534 80732988712 121099483068 242198966136