Search a number
-
+
23234342041000 = 2353471847267649
BaseRepresentation
bin1010100100001101010101…
…01101000011010110101000
310001021011220020121220110201
411102012222231003112220
511021132413030303000
6121225413120521544
74615424440533346
oct522065255032650
9101234806556421
1023234342041000
1174486a1400682
122732b7a1802b4
13cc6cb1c46c0c
145a47961cc996
152a45a296396a
hex1521aab435a8

23234342041000 has 128 divisors (see below), whose sum is σ = 55555403904000. Its totient is φ = 9091039027200.

The previous prime is 23234342040983. The next prime is 23234342041007. The reversal of 23234342041000 is 14024343232.

It is a self number, because there is not a number n which added to its sum of digits gives 23234342041000.

It is not an unprimeable number, because it can be changed into a prime (23234342041007) 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, 86675176 + ... + 86942824.

It is an arithmetic number, because the mean of its divisors is an integer number (434026593000).

Almost surely, 223234342041000 is an apocalyptic number.

23234342041000 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 23234342041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27777701952000).

23234342041000 is an abundant number, since it is smaller than the sum of its proper divisors (32321061863000).

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

23234342041000 is a wasteful number, since it uses less digits than its factorization.

23234342041000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269564 (or 269550 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 23234342041000 its reverse (14024343232), we get a palindrome (23248366384232).

The spelling of 23234342041000 in words is "twenty-three trillion, two hundred thirty-four billion, three hundred forty-two million, forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 125 188 200 235 250 376 470 500 940 1000 1175 1847 1880 2350 3694 4700 5875 7388 9235 9400 11750 14776 18470 23500 36940 46175 47000 73880 86809 92350 173618 184700 230875 267649 347236 369400 434045 461750 535298 694472 868090 923500 1070596 1338245 1736180 1847000 2141192 2170225 2676490 3472360 4340450 5352980 6691225 8680900 10705960 10851125 12579503 13382450 17361800 21702250 25159006 26764900 33456125 43404500 50318012 53529800 62897515 66912250 86809000 100636024 125795030 133824500 251590060 267649000 314487575 494347703 503180120 628975150 988695406 1257950300 1572437875 1977390812 2471738515 2515900600 3144875750 3954781624 4943477030 6289751500 9886954060 12358692575 12579503000 19773908120 23234342041 24717385150 46468684082 49434770300 61793462875 92937368164 98869540600 116171710205 123586925750 185874736328 232343420410 247173851500 464686840820 494347703000 580858551025 929373681640 1161717102050 2323434204100 2904292755125 4646868408200 5808585510250 11617171020500 23234342041000