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243242435120 = 245414710315319
BaseRepresentation
bin1110001010001001100…
…0010000001000110000
3212020211222112222210112
43202202120100020300
512441130030410440
6303424413320452
723400526404266
oct3424230201060
9766758488715
10243242435120
1194182016793
123b185496128
1319c2607a2a9
14bab7162436
1564d993c965
hex38a2610230

243242435120 has 160 divisors (see below), whose sum is σ = 597441761280. Its totient is φ = 91996231680.

The previous prime is 243242435101. The next prime is 243242435123. The reversal of 243242435120 is 21534242342.

It is not an unprimeable number, because it can be changed into a prime (243242435123) 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, 15870821 + ... + 15886139.

It is an arithmetic number, because the mean of its divisors is an integer number (3734011008).

Almost surely, 2243242435120 is an apocalyptic number.

243242435120 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 243242435120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298720880640).

243242435120 is an abundant number, since it is smaller than the sum of its proper divisors (354199326160).

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

243242435120 is a wasteful number, since it uses less digits than its factorization.

243242435120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15523 (or 15517 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

Adding to 243242435120 its reverse (21534242342), we get a palindrome (264776677462).

The spelling of 243242435120 in words is "two hundred forty-three billion, two hundred forty-two million, four hundred thirty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 41 47 80 82 94 103 164 188 205 206 235 328 376 410 412 470 515 656 752 820 824 940 1030 1640 1648 1880 1927 2060 3280 3760 3854 4120 4223 4841 7708 8240 8446 9635 9682 15319 15416 16892 19270 19364 21115 24205 30638 30832 33784 38540 38728 42230 48410 61276 67568 76595 77080 77456 84460 96820 122552 153190 154160 168920 193640 198481 245104 306380 337840 387280 396962 612760 628079 719993 793924 992405 1225520 1256158 1439986 1577857 1587848 1984810 2512316 2879972 3140395 3155714 3175696 3599965 3969620 5024632 5759944 6280790 6311428 7199930 7889285 7939240 10049264 11519888 12561580 12622856 14399860 15778570 15878480 25123160 25245712 28799720 29519713 31557140 50246320 57599440 59039426 63114280 64692137 74159279 118078852 126228560 129384274 147598565 148318558 236157704 258768548 295197130 296637116 323460685 370796395 472315408 517537096 590394260 593274232 646921370 741592790 1035074192 1180788520 1186548464 1293842740 1483185580 2361577040 2587685480 2966371160 3040530439 5175370960 5932742320 6081060878 12162121756 15202652195 24324243512 30405304390 48648487024 60810608780 121621217560 243242435120