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242433122640 = 24351773813971
BaseRepresentation
bin1110000111001000100…
…0111110000101010000
3212011202120200122210020
43201302020332011100
512433000334411030
6303212223103440
723341501353552
oct3416210760520
9764676618706
10242433122640
11938a71a52a5
123ab9a441b80
1319b274b6777
14ba3b8914d2
15648d876510
hex387223e150

242433122640 has 160 divisors (see below), whose sum is σ = 806652763776. Its totient is φ = 60012380160.

The previous prime is 242433122639. The next prime is 242433122653. The reversal of 242433122640 is 46221334242.

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, 109146 + ... + 704825.

Almost surely, 2242433122640 is an apocalyptic number.

242433122640 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 242433122640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403326381888).

242433122640 is an abundant number, since it is smaller than the sum of its proper divisors (564219641136).

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

242433122640 is a wasteful number, since it uses less digits than its factorization.

242433122640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814077 (or 814071 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 242433122640 its reverse (46221334242), we get a palindrome (288654456882).

The spelling of 242433122640 in words is "two hundred forty-two billion, four hundred thirty-three million, one hundred twenty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 73 80 85 102 120 136 146 170 204 219 240 255 272 292 340 365 408 438 510 584 680 730 816 876 1020 1095 1168 1241 1360 1460 1752 2040 2190 2482 2920 3504 3723 4080 4380 4964 5840 6205 7446 8760 9928 12410 14892 17520 18615 19856 24820 29784 37230 49640 59568 74460 99280 148920 297840 813971 1627942 2441913 3255884 4069855 4883826 6511768 8139710 9767652 12209565 13023536 13837507 16279420 19535304 24419130 27675014 32558840 39070608 41512521 48838260 55350028 59419883 65117680 69187535 83025042 97676520 110700056 118839766 138375070 166050084 178259649 195353040 207562605 221400112 237679532 276750140 297099415 332100168 356519298 415125210 475359064 553500280 594198830 664200336 713038596 830250420 891298245 950718128 1010138011 1107000560 1188397660 1426077192 1660500840 1782596490 2020276022 2376795320 2852154384 3030414033 3321001680 3565192980 4040552044 4753590640 5050690055 6060828066 7130385960 8081104088 10101380110 12121656132 14260771920 15152070165 16162208176 20202760220 24243312264 30304140330 40405520440 48486624528 60608280660 80811040880 121216561320 242433122640