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423268383862324 = 227112139979639043
BaseRepresentation
bin110000000111101011101100…
…1101010100010111000110100
32001111200001200102120201111201
41200033113121222202320310
5420434312122232043244
64100114451114142244
7155104063063263340
oct14017273152427064
92044601612521451
10423268383862324
11112959128119500
123b5802b9421984
1315224064031cc0
1476744289a0620
1533e02ae452ad4
hex180f5d9aa2e34

423268383862324 has 144 divisors (see below), whose sum is σ = 1003072231176064. Its totient is φ = 152071695578880.

The previous prime is 423268383862319. The next prime is 423268383862381.

423268383862324 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4232683838623242 (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 47 ways as a sum of consecutive naturals, for example, 39092347 + ... + 48731389.

Almost surely, 2423268383862324 is an apocalyptic number.

423268383862324 is a gapful number since it is divisible by the number (44) 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 423268383862324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501536115588032).

423268383862324 is an abundant number, since it is smaller than the sum of its proper divisors (579803847313740).

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

423268383862324 is a wasteful number, since it uses less digits than its factorization.

423268383862324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9640086 (or 9640073 counting only the distinct ones).

The product of its digits is 382205952, while the sum is 64.

The spelling of 423268383862324 in words is "four hundred twenty-three trillion, two hundred sixty-eight billion, three hundred eighty-three million, eight hundred sixty-two thousand, three hundred twenty-four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 121 143 154 182 242 286 308 364 484 572 847 997 1001 1573 1694 1994 2002 3146 3388 3988 4004 6292 6979 10967 11011 12961 13958 21934 22022 25922 27916 43868 44044 51844 76769 90727 120637 142571 153538 181454 241274 285142 307076 362908 482548 570284 844459 997997 1568281 1688918 1995994 3136562 3377836 3991988 6273124 9639043 10977967 19278086 21955934 38556172 43911868 67473301 106029473 125307559 134946602 212058946 250615118 269893204 424117892 501230236 742206311 877152913 1166324203 1378383149 1484412622 1754305826 2332648406 2756766298 2968825244 3508611652 4665296812 5513532596 8164269421 9610125871 9648682043 15162214639 16328538842 19220251742 19297364086 30324429278 32657077684 38440503484 38594728172 60648858556 67270881097 105711384581 106135502473 124931636323 134541762194 211422769162 212271004946 249863272646 269083524388 422845538324 424542009892 499726545292 739979692067 874521454261 1162825230391 1374247999553 1479959384134 1749042908522 2325650460782 2748495999106 2959918768268 3498085817044 4651300921564 5496991998212 8139776612737 9619735996871 15116727995083 16279553225474 19239471993742 30233455990166 32559106450948 38478943987484 60466911980332 105817095965581 211634191931162 423268383862324