Search a number
-
+
923424000433424 = 247149719106971993
BaseRepresentation
bin1101000111110110010110011…
…1100001011101110100010000
311111002120110202022012020220122
43101331211213201131310100
51432013334323102332144
613031543043543125412
7365335116365414330
oct32175454741356420
94432513668166818
10923424000433424
1124825aa126a3416
1287699911443868
1330834681782099
1412405d626cb0c0
1571b559da797ee
hex347d96785dd10

923424000433424 has 160 divisors (see below), whose sum is σ = 2063267406720000. Its totient is φ = 392177693970432.

The previous prime is 923424000433387. The next prime is 923424000433447. The reversal of 923424000433424 is 424334000424329.

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, 12826544372 + ... + 12826616364.

It is an arithmetic number, because the mean of its divisors is an integer number (12895421292000).

Almost surely, 2923424000433424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 923424000433424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031633703360000).

923424000433424 is an abundant number, since it is smaller than the sum of its proper divisors (1139843406286576).

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

923424000433424 is a wasteful number, since it uses less digits than its factorization.

923424000433424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73945 (or 73939 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 44.

The spelling of 923424000433424 in words is "nine hundred twenty-three trillion, four hundred twenty-four billion, four hundred thirty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 149 298 596 719 1043 1069 1192 1438 2086 2138 2384 2876 4172 4276 5033 5752 7483 8344 8552 10066 11504 14966 16688 17104 20132 29932 40264 59864 71993 80528 107131 119728 143986 159281 214262 287972 318562 428524 503951 575944 637124 749917 768611 857048 1007902 1114967 1151888 1274248 1499834 1537222 1714096 2015804 2229934 2548496 2999668 3074444 4031608 4459868 5380277 5999336 6148888 8063216 8919736 10726957 10760554 11998672 12297776 17839472 21453914 21521108 42907828 43042216 51762967 75088699 76960517 85815656 86084432 103525934 114523039 150177398 153921034 171631312 207051868 229046078 300354796 307842068 362340769 414103736 458092156 538723619 600709592 615684136 724681538 801661273 828207472 916184312 1077447238 1201419184 1231368272 1449363076 1603322546 1832368624 2154894476 2898726152 3206645092 4309788952 5797452304 6413290184 7712682083 8619577904 11467117033 12826580368 15425364166 22934234066 30850728332 45868468132 53988774581 55334611723 61701456664 80269819231 91736936264 107977549162 110669223446 123402913328 160539638462 183473872528 215955098324 221338446892 321079276924 387342282061 431910196648 442676893784 642158553848 774684564122 863820393296 885353787568 1284317107696 1549369128244 3098738256488 6197476512976 8244857146727 16489714293454 32979428586908 57714000027089 65958857173816 115428000054178 131917714347632 230856000108356 461712000216712 923424000433424