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23234404114000 = 245311617202057
BaseRepresentation
bin1010100100001101011100…
…11001110101111001010000
310001021012001120102112121201
411102012232121311321100
511021133024423122000
6121225423215200544
74615426123253242
oct522065631657120
9101235046375551
1023234404114000
117448723447a82
122732b96b16154
13cc6cc1a6b5c1
145a47a054a092
152a45a812596a
hex1521ae675e50

23234404114000 has 40 divisors (see below), whose sum is σ = 56180789152488. Its totient is φ = 9293761644800.

The previous prime is 23234404113919. The next prime is 23234404114027. The reversal of 23234404114000 is 41140443232.

It can be written as a sum of positive squares in 4 ways, for example, as 401641597504 + 22832762516496 = 633752^2 + 4778364^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 23234404114000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5808599029 + ... + 5808603028.

Almost surely, 223234404114000 is an apocalyptic number.

23234404114000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23234404114000 is an abundant number, since it is smaller than the sum of its proper divisors (32946385038488).

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

23234404114000 is a wasteful number, since it uses less digits than its factorization.

23234404114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11617202080 (or 11617202064 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 23234404114000 its reverse (41140443232), we get a palindrome (23275544557232).

The spelling of 23234404114000 in words is "twenty-three trillion, two hundred thirty-four billion, four hundred four million, one hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 11617202057 23234404114 46468808228 58086010285 92937616456 116172020570 185875232912 232344041140 290430051425 464688082280 580860102850 929376164560 1161720205700 1452150257125 2323440411400 2904300514250 4646880822800 5808601028500 11617202057000 23234404114000