Search a number
-
+
441326416418004 = 2231322931242065157
BaseRepresentation
bin110010001011000100101000…
…0010001111101010011010100
32010212121101121202200122201110
41210112021100101331103110
5430321143000100334004
64202342320134255020
7161646532004354505
oct14426112021752324
92125541552618643
10441326416418004
11118690533791777
12415b8023ab7470
1315c33b96a22800
147ada4537dcbac
153604da5e7c589
hex191625047d4d4

441326416418004 has 144 divisors (see below), whose sum is σ = 1190728194808320. Its totient is φ = 126880872168960.

The previous prime is 441326416418003. The next prime is 441326416418057. The reversal of 441326416418004 is 400814614623144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441326416418003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119209407 + ... + 122855750.

It is an arithmetic number, because the mean of its divisors is an integer number (8268945797280).

Almost surely, 2441326416418004 is an apocalyptic number.

It is an amenable number.

441326416418004 is an abundant number, since it is smaller than the sum of its proper divisors (749401778390316).

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

441326416418004 is a wasteful number, since it uses less digits than its factorization.

441326416418004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242065250 (or 242065235 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 48.

The spelling of 441326416418004 in words is "four hundred forty-one trillion, three hundred twenty-six billion, four hundred sixteen million, four hundred eighteen thousand, four".

Divisors: 1 2 3 4 6 12 13 26 29 31 39 52 58 62 78 87 93 116 124 156 169 174 186 338 348 372 377 403 507 676 754 806 899 1014 1131 1209 1508 1612 1798 2028 2262 2418 2697 3596 4524 4836 4901 5239 5394 9802 10478 10788 11687 14703 15717 19604 20956 23374 29406 31434 35061 46748 58812 62868 70122 140244 151931 303862 455793 607724 911586 1823172 242065157 484130314 726195471 968260628 1452390942 2904781884 3146847041 6293694082 7019889553 7504019867 9440541123 12587388164 14039779106 15008039734 18881082246 21059668659 22512059601 28079558212 30016079468 37762164492 40909011533 42119337318 45024119202 81818023066 84238674636 90048238404 91258564189 97552258271 122727034599 163636046132 182517128378 195104516542 217616576143 245454069198 273775692567 292656774813 365034256756 390209033084 435233152286 490908138396 547551385134 585313549626 652849728429 870466304572 1095102770268 1170627099252 1186361334457 1268179357523 1305699456858 2372722668914 2536358715046 2611398913716 2829015489859 3559084003371 3804538072569 4745445337828 5072717430092 5658030979718 7118168006742 7609076145138 8487046469577 11316061959436 14236336013484 15218152290276 16974092939154 33948185878308 36777201368167 73554402736334 110331604104501 147108805472668 220663208209002 441326416418004