Search a number
-
+
309338294740368 = 243195912914453081
BaseRepresentation
bin100011001010101110110111…
…1001011000110010110010000
31111120021110012121222210222220
41012111131233023012112100
5311021144311423142433
63013524014545101040
7122104645213212255
oct10625355713062620
91446243177883886
10309338294740368
118a6236a7a48103
122a83ba01027780
131037b625aa739a
1456560a657742c
1525b68eb63e2b3
hex119576f2c6590

309338294740368 has 160 divisors (see below), whose sum is σ = 856103233267200. Its totient is φ = 95955680332800.

The previous prime is 309338294740313. The next prime is 309338294740421. The reversal of 309338294740368 is 863047492833903.

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, 67239588 + ... + 71692668.

It is an arithmetic number, because the mean of its divisors is an integer number (5350645207920).

Almost surely, 2309338294740368 is an apocalyptic number.

309338294740368 is a gapful number since it is divisible by the number (38) 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 309338294740368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428051616633600).

309338294740368 is an abundant number, since it is smaller than the sum of its proper divisors (546764938526832).

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

309338294740368 is a wasteful number, since it uses less digits than its factorization.

309338294740368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4454461 (or 4454455 counting only the distinct ones).

The product of its (nonzero) digits is 564350976, while the sum is 69.

The spelling of 309338294740368 in words is "three hundred nine trillion, three hundred thirty-eight billion, two hundred ninety-four million, seven hundred forty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 59 76 114 118 152 177 228 236 304 354 456 472 708 912 944 1121 1291 1416 2242 2582 2832 3363 3873 4484 5164 6726 7746 8968 10328 13452 15492 17936 20656 24529 26904 30984 49058 53808 61968 73587 76169 98116 147174 152338 196232 228507 294348 304676 392464 457014 588696 609352 914028 1177392 1218704 1447211 1828056 2894422 3656112 4341633 4453081 5788844 8683266 8906162 11577688 13359243 17366532 17812324 23155376 26718486 34733064 35624648 53436972 69466128 71249296 84608539 106873944 169217078 213747888 253825617 262731779 338434156 507651234 525463558 676868312 788195337 1015302468 1050927116 1353736624 1576390674 2030604936 2101854232 3152781348 4061209872 4203708464 4991903801 5748927571 6305562696 9983807602 11497855142 12611125392 14975711403 17246782713 19967615204 22995710284 29951422806 34493565426 39935230408 45991420568 59902845612 68987130852 79870460816 91982841136 109229623849 119805691224 137974261704 218459247698 239611382448 275948523408 327688871547 339186726689 436918495396 655377743094 678373453378 873836990792 1017560180067 1310755486188 1356746906756 1747673981584 2035120360134 2621510972376 2713493813512 4070240720268 5243021944752 5426987627024 6444547807091 8140481440536 12889095614182 16280962881072 19333643421273 25778191228364 38667286842546 51556382456728 77334573685092 103112764913456 154669147370184 309338294740368