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240780985104 = 243113761202049
BaseRepresentation
bin1110000000111110101…
…0100100001100010000
3212000111102220101011010
43200033222210030100
512421104413010404
6302340244050520
723252530414212
oct3401752441420
9760442811133
10240780985104
1193129652980
123a7b9093a40
13199231276aa
14b9222a85b2
1563e37c9189
hex380faa4310

240780985104 has 160 divisors (see below), whose sum is σ = 708332342400. Its totient is φ = 69827788800.

The previous prime is 240780985061. The next prime is 240780985111. The reversal of 240780985104 is 401589087042.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 1090672 + ... + 1292720.

It is an arithmetic number, because the mean of its divisors is an integer number (4427077140).

Almost surely, 2240780985104 is an apocalyptic number.

240780985104 is a gapful number since it is divisible by the number (24) 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 240780985104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354166171200).

240780985104 is an abundant number, since it is smaller than the sum of its proper divisors (467551357296).

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

240780985104 is a wasteful number, since it uses less digits than its factorization.

240780985104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202169 (or 202163 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The spelling of 240780985104 in words is "two hundred forty billion, seven hundred eighty million, nine hundred eighty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 37 44 48 61 66 74 88 111 122 132 148 176 183 222 244 264 296 366 407 444 488 528 592 671 732 814 888 976 1221 1342 1464 1628 1776 2013 2257 2442 2684 2928 3256 4026 4514 4884 5368 6512 6771 8052 9028 9768 10736 13542 16104 18056 19536 24827 27084 32208 36112 49654 54168 74481 99308 108336 148962 198616 202049 297924 397232 404098 595848 606147 808196 1191696 1212294 1616392 2222539 2424588 3232784 4445078 4849176 6667617 7475813 8890156 9698352 12324989 13335234 14951626 17780312 22427439 24649978 26670468 29903252 35560624 36974967 44854878 49299956 53340936 59806504 73949934 82233943 89709756 98599912 106681872 119613008 135574879 147899868 164467886 179419512 197199824 246701829 271149758 295799736 328935772 358839024 406724637 456024593 493403658 542299516 591599472 657871544 813449274 912049186 986807316 1084599032 1315743088 1368073779 1626898548 1824098372 1973614632 2169198064 2736147558 3253797096 3648196744 3947229264 5016270523 5472295116 6507594192 7296393488 10032541046 10944590232 15048811569 20065082092 21889180464 30097623138 40130164184 60195246276 80260328368 120390492552 240780985104