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242443214130 = 235132346215849
BaseRepresentation
bin1110000111001010111…
…1011101110100110010
3212011210021200100201010
43201302233131310302
512433010430323010
6303213223251350
723341653214035
oct3416257356462
9764707610633
10242443214130
1193901968177
123aba18a9b56
1319b2960ab70
14ba3cd5b01c
15648e6bb620
hex3872bddd32

242443214130 has 128 divisors (see below), whose sum is σ = 654120230400. Its totient is φ = 57061509120.

The previous prime is 242443214077. The next prime is 242443214227. The reversal of 242443214130 is 31412344242.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41447446 + ... + 41453294.

It is an arithmetic number, because the mean of its divisors is an integer number (5110314300).

Almost surely, 2242443214130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242443214130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327060115200).

242443214130 is an abundant number, since it is smaller than the sum of its proper divisors (411677016270).

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

242443214130 is a wasteful number, since it uses less digits than its factorization.

242443214130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10516.

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 242443214130 its reverse (31412344242), we get a palindrome (273855558372).

The spelling of 242443214130 in words is "two hundred forty-two billion, four hundred forty-three million, two hundred fourteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 23 26 30 39 46 65 69 78 115 130 138 195 230 299 345 390 598 690 897 1495 1794 2990 4485 4621 5849 8970 9242 11698 13863 17547 23105 27726 29245 35094 46210 58490 60073 69315 76037 87735 106283 120146 134527 138630 152074 175470 180219 212566 228111 269054 300365 318849 360438 380185 403581 456222 531415 600730 637698 672635 760370 807162 901095 1062830 1140555 1345270 1381679 1594245 1748851 1802190 2017905 2281110 2763358 3188490 3497702 4035810 4145037 5246553 6908395 8290074 8744255 10493106 13816790 17488510 20725185 26232765 27028229 41450370 52465530 54056458 81084687 135141145 162169374 270282290 351366977 405423435 621649267 702733954 810846870 1054100931 1243298534 1756834885 1864947801 2108201862 3108246335 3513669770 3729895602 5270504655 6216492670 8081440471 9324739005 10541009310 16162880942 18649478010 24244321413 40407202355 48488642826 80814404710 121221607065 242443214130