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243120141440 = 2751153651587
BaseRepresentation
bin1110001001101100010…
…1101111010010000000
3212020112110102211101222
43202123011233102000
512440402224011230
6303404324214212
723364513051041
oct3423305572200
9766473384358
10243120141440
1194119a88730
123b15053a368
1319c0692c377
14baa4c0a8c8
1564cdd326e5
hex389b16f480

243120141440 has 128 divisors (see below), whose sum is σ = 646010406720. Its totient is φ = 86739128320.

The previous prime is 243120141431. The next prime is 243120141557. The reversal of 243120141440 is 44141021342.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47327 + ... + 698913.

Almost surely, 2243120141440 is an apocalyptic number.

243120141440 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 243120141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323005203360).

243120141440 is an abundant number, since it is smaller than the sum of its proper divisors (402890265280).

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

243120141440 is a wasteful number, since it uses less digits than its factorization.

243120141440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651670 (or 651658 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 243120141440 its reverse (44141021342), we get a palindrome (287261162782).

The spelling of 243120141440 in words is "two hundred forty-three billion, one hundred twenty million, one hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 53 55 64 80 88 106 110 128 160 176 212 220 265 320 352 424 440 530 583 640 704 848 880 1060 1166 1408 1696 1760 2120 2332 2915 3392 3520 4240 4664 5830 6784 7040 8480 9328 11660 16960 18656 23320 33920 37312 46640 74624 93280 186560 373120 651587 1303174 2606348 3257935 5212696 6515870 7167457 10425392 13031740 14334914 20850784 26063480 28669828 34534111 35837285 41701568 52126960 57339656 69068222 71674570 83403136 104253920 114679312 138136444 143349140 172670555 208507840 229358624 276272888 286698280 345341110 379875221 417015680 458717248 552545776 573396560 690682220 759750442 917434496 1105091552 1146793120 1381364440 1519500884 1899376105 2210183104 2293586240 2762728880 3039001768 3798752210 4420366208 4587172480 5525457760 6078003536 7597504420 11050915520 12156007072 15195008840 22101831040 24312014144 30390017680 48624028288 60780035360 121560070720 243120141440