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43234130000400 = 24352125928616713
BaseRepresentation
bin10011101010010001110101…
…11101011111101000010000
312200002010211212002122002220
421311020322331133220100
521131321444240003100
6231541252442141040
712051364021342143
oct1165107275375020
9180063755078086
1043234130000400
1112859545301449
124a230927b1780
131b17c65319031
14a9678621205a
154ee943db2aa0
hex27523af5fa10

43234130000400 has 120 divisors (see below), whose sum is σ = 138603337256160. Its totient is φ = 11519943582720.

The previous prime is 43234130000389. The next prime is 43234130000431. The reversal of 43234130000400 is 400003143234.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12797557 + ... + 15819156.

It is an arithmetic number, because the mean of its divisors is an integer number (1155027810468).

Almost surely, 243234130000400 is an apocalyptic number.

43234130000400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

43234130000400 is an abundant number, since it is smaller than the sum of its proper divisors (95369207255760).

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

43234130000400 is a wasteful number, since it uses less digits than its factorization.

43234130000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28617993 (or 28617982 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 43234130000400 its reverse (400003143234), we get a palindrome (43634133143634).

The spelling of 43234130000400 in words is "forty-three trillion, two hundred thirty-four billion, one hundred thirty million, four hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 1259 2518 3777 5036 6295 7554 10072 12590 15108 18885 20144 25180 30216 31475 37770 50360 60432 62950 75540 94425 100720 125900 151080 188850 251800 302160 377700 503600 755400 1510800 28616713 57233426 85850139 114466852 143083565 171700278 228933704 286167130 343400556 429250695 457867408 572334260 686801112 715417825 858501390 1144668520 1373602224 1430835650 1717002780 2146253475 2289337040 2861671300 3434005560 4292506950 5723342600 6868011120 8585013900 11446685200 17170027800 34340055600 36028441667 72056883334 108085325001 144113766668 180142208335 216170650002 288227533336 360284416670 432341300004 540426625005 576455066672 720568833340 864682600008 900711041675 1080853250010 1441137666680 1729365200016 1801422083350 2161706500020 2702133125025 2882275333360 3602844166700 4323413000040 5404266250050 7205688333400 8646826000080 10808532500100 14411376666800 21617065000200 43234130000400