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23403312433000 = 2353732331375937
BaseRepresentation
bin1010101001001000000100…
…00111111100011101101000
310001212100001002020011221101
411110210002013330131220
511031414440440324000
6121435155554451144
74633555620264043
oct524440207743550
9101770032204841
1023403312433000
11750331a822045
12275b875b93ab4
131009bcc7983a6
145aca2520bc5a
152a8b91bcee6a
hex1549021fc768

23403312433000 has 128 divisors (see below), whose sum is σ = 55752237234720. Its totient is φ = 9193453977600.

The previous prime is 23403312432967. The next prime is 23403312433001. The reversal of 23403312433000 is 33421330432.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 311616267076 + 23091696165924 = 558226^2 + 4805382^2 .

It is a super-2 number, since 2×234033124330002 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 23403312433000.

It is not an unprimeable number, because it can be changed into a prime (23403312433001) 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, 16321032 + ... + 17696968.

Almost surely, 223403312433000 is an apocalyptic number.

23403312433000 is a gapful number since it is divisible by the number (20) 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 23403312433000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27876118617360).

23403312433000 is an abundant number, since it is smaller than the sum of its proper divisors (32348924801720).

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

23403312433000 is a wasteful number, since it uses less digits than its factorization.

23403312433000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376264 (or 1376250 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

Adding to 23403312433000 its reverse (33421330432), we get a palindrome (23436733763432).

The spelling of 23403312433000 in words is "twenty-three trillion, four hundred three billion, three hundred twelve million, four hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 125 146 200 233 250 292 365 466 500 584 730 932 1000 1165 1460 1825 1864 2330 2920 3650 4660 5825 7300 9125 9320 11650 14600 17009 18250 23300 29125 34018 36500 46600 58250 68036 73000 85045 116500 136072 170090 233000 340180 425225 680360 850450 1375937 1700900 2126125 2751874 3401800 4252250 5503748 6879685 8504500 11007496 13759370 17009000 27518740 34398425 55037480 68796850 100443401 137593700 171992125 200886802 275187400 320593321 343984250 401773604 502217005 641186642 687968500 803547208 1004434010 1282373284 1375937000 1602966605 2008868020 2511085025 2564746568 3205933210 4017736040 5022170050 6411866420 8014833025 10044340100 12555425125 12823732840 16029666050 20088680200 23403312433 25110850250 32059332100 40074165125 46806624866 50221700500 64118664200 80148330250 93613249732 100443401000 117016562165 160296660500 187226499464 234033124330 320593321000 468066248660 585082810825 936132497320 1170165621650 2340331243300 2925414054125 4680662486600 5850828108250 11701656216500 23403312433000