Search a number
-
+
23043313234224 = 2433196741901809
BaseRepresentation
bin1010011110101001100000…
…11111111111000100110000
310000120220211010020001112000
411033110300133333010300
511010020201141443344
6121001541342334000
74565552532501543
oct517246037770460
9100526733201460
1023043313234224
117384683645758
122701b46b8a300
13cb1c8a4301ca
1459943378485a
1529e621dcaa69
hex14f5307ff130

23043313234224 has 160 divisors (see below), whose sum is σ = 70663212384000. Its totient is φ = 7168226098176.

The previous prime is 23043313234219. The next prime is 23043313234229. The reversal of 23043313234224 is 42243231334032.

23043313234224 is a `hidden beast` number, since 2 + 30 + 433 + 132 + 3 + 42 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (23043313234219) and next prime (23043313234229).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (23043313234229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20400969 + ... + 21500840.

It is an arithmetic number, because the mean of its divisors is an integer number (441645077400).

Almost surely, 223043313234224 is an apocalyptic number.

23043313234224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23043313234224 is an abundant number, since it is smaller than the sum of its proper divisors (47619899149776).

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

23043313234224 is a wasteful number, since it uses less digits than its factorization.

23043313234224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41901912 (or 41901900 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 23043313234224 its reverse (42243231334032), we get a palindrome (65286544568256).

The spelling of 23043313234224 in words is "twenty-three trillion, forty-three billion, three hundred thirteen million, two hundred thirty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 67 72 76 108 114 134 144 152 171 201 216 228 268 304 342 402 432 456 513 536 603 684 804 912 1026 1072 1206 1273 1368 1608 1809 2052 2412 2546 2736 3216 3618 3819 4104 4824 5092 7236 7638 8208 9648 10184 11457 14472 15276 20368 22914 28944 30552 34371 45828 61104 68742 91656 137484 183312 274968 549936 41901809 83803618 125705427 167607236 251410854 335214472 377116281 502821708 670428944 754232562 796134371 1005643416 1131348843 1508465124 1592268742 2011286832 2262697686 2388403113 2807421203 3016930248 3184537484 4525395372 4776806226 5614842406 6033860496 6369074968 7165209339 8422263609 9050790744 9553612452 11229684812 12738149936 14330418678 16844527218 18101581488 19107224904 21495628017 22459369624 25266790827 28660837356 33689054436 38214449808 42991256034 44918739248 50533581654 53341002857 57321674712 67378108872 75800372481 85982512068 101067163308 106682005714 114643349424 134756217744 151600744962 160023008571 171965024136 202134326616 213364011428 303201489924 320046017142 343930048272 404268653232 426728022856 480069025713 606402979848 640092034284 853456045712 960138051426 1212805959696 1280184068568 1440207077139 1920276102852 2560368137136 2880414154278 3840552205704 5760828308556 7681104411408 11521656617112 23043313234224