Search a number
-
+
243024121024120 = 235295312979304561
BaseRepresentation
bin110111010000011101110110…
…011001111100111001111000
31011212110212201211210022220201
4313100131312121330321320
5223323201344440232440
62220511423454331544
7102121625162064052
oct6720356631747170
91155425654708821
10243024121024120
1170486a50768577
122330b8524b9bb4
13a57b0cb777977
1444026047368d2
151d16935e4a19a
hexdd077667ce78

243024121024120 has 128 divisors (see below), whose sum is σ = 576378712008000. Its totient is φ = 92079296225280.

The previous prime is 243024121024103. The next prime is 243024121024177. The reversal of 243024121024120 is 21420121420342.

It is a super-2 number, since 2×2430241210241202 (a number of 30 digits) contains 22 as substring.

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, 797796640 + ... + 798101200.

Almost surely, 2243024121024120 is an apocalyptic number.

243024121024120 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 243024121024120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288189356004000).

243024121024120 is an abundant number, since it is smaller than the sum of its proper divisors (333354590983880).

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

243024121024120 is a wasteful number, since it uses less digits than its factorization.

243024121024120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317633 (or 317629 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 243024121024120 its reverse (21420121420342), we get a palindrome (264444242444462).

The spelling of 243024121024120 in words is "two hundred forty-three trillion, twenty-four billion, one hundred twenty-one million, twenty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 53 58 106 116 145 212 232 265 290 424 530 580 1060 1160 1537 2120 3074 6148 7685 12296 12979 15370 25958 30740 51916 61480 64895 103832 129790 259580 304561 376391 519160 609122 687887 752782 1218244 1375774 1505564 1522805 1881955 2436488 2751548 3011128 3045610 3439435 3763910 5503096 6091220 6878870 7527820 8832269 12182440 13757740 15055640 16141733 17664538 19948723 27515480 32283466 35329076 39897446 44161345 64566932 70658152 79794892 80708665 88322690 99743615 129133864 159589784 161417330 176645380 199487230 322834660 353290760 398974460 468110257 645669320 797948920 936220514 1872441028 2340551285 3744882056 3952897219 4681102570 7905794438 9362205140 15811588876 18724410280 19764486095 31623177752 39528972190 79057944380 114634019351 158115888760 209503552607 229268038702 419007105214 458536077404 573170096755 838014210428 917072154808 1047517763035 1146340193510 1676028420856 2095035526070 2292680387020 4190071052140 4585360774040 6075603025603 8380142104280 12151206051206 24302412102412 30378015128015 48604824204824 60756030256030 121512060512060 243024121024120