Search a number
-
+
307340205659968 = 26133783120286319
BaseRepresentation
bin100010111100001100011011…
…1110010001001011101000000
31111022012102210100212201220211
41011320120313302021131000
5310240430220122104333
63005354050305443504
7121510411543233325
oct10570306762113500
91438172710781824
10307340205659968
1189a23281830518
122a578711040594
13102650983cab90
1455c74b97d4b4c
15257e9562c9ecd
hex1178637c89740

307340205659968 has 112 divisors (see below), whose sum is σ = 682670093656320. Its totient is φ = 136352720922624.

The previous prime is 307340205659909. The next prime is 307340205659983. The reversal of 307340205659968 is 869956502043703.

It is a super-2 number, since 2×3073402056599682 (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 15 ways as a sum of consecutive naturals, for example, 57588088 + ... + 62698231.

It is an arithmetic number, because the mean of its divisors is an integer number (6095268693360).

Almost surely, 2307340205659968 is an apocalyptic number.

It is an amenable number.

307340205659968 is an abundant number, since it is smaller than the sum of its proper divisors (375329887996352).

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

307340205659968 is a wasteful number, since it uses less digits than its factorization.

307340205659968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120286464 (or 120286454 counting only the distinct ones).

The product of its (nonzero) digits is 293932800, while the sum is 67.

The spelling of 307340205659968 in words is "three hundred seven trillion, three hundred forty billion, two hundred five million, six hundred fifty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 37 52 64 74 83 104 148 166 208 296 332 416 481 592 664 832 962 1079 1184 1328 1924 2158 2368 2656 3071 3848 4316 5312 6142 7696 8632 12284 15392 17264 24568 30784 34528 39923 49136 69056 79846 98272 159692 196544 319384 638768 1277536 2555072 120286319 240572638 481145276 962290552 1563722147 1924581104 3127444294 3849162208 4450593803 6254888588 7698324416 8901187606 9983764477 12509777176 17802375212 19967528954 25019554352 35604750424 39935057908 50039108704 57857719439 71209500848 79870115816 100078217408 115715438878 129788938201 142419001696 159740231632 231430877756 259577876402 284838003392 319480463264 369399285649 462861755512 519155752804 638960926528 738798571298 925723511024 1038311505608 1477597142596 1851447022048 2076623011216 2955194285192 3702894044096 4153246022432 4802190713437 5910388570384 8306492044864 9604381426874 11820777140768 19208762853748 23641554281536 38417525707496 76835051414992 153670102829984 307340205659968