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23141401400 = 23521310386413
BaseRepresentation
bin10101100011010101…
…011100001100111000
32012201202121222211202
4111203111130030320
5334343144321100
614344144313332
71446315444365
oct254325341470
965652558752
1023141401400
1198a5799427
12459a012848
13224a46a330
1411975b946c
159069417d5
hex56355c338

23141401400 has 96 divisors (see below), whose sum is σ = 58505734560. Its totient is φ = 8461463040.

The previous prime is 23141401399. The next prime is 23141401403. The reversal of 23141401400 is 410414132.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23141401403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224594 + ... + 311006.

It is an arithmetic number, because the mean of its divisors is an integer number (609434735).

Almost surely, 223141401400 is an apocalyptic number.

23141401400 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 23141401400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29252867280).

23141401400 is an abundant number, since it is smaller than the sum of its proper divisors (35364333160).

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

23141401400 is a wasteful number, since it uses less digits than its factorization.

23141401400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86545 (or 86536 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 23141401400 its reverse (410414132), we get a palindrome (23551815532).

The spelling of 23141401400 in words is "twenty-three billion, one hundred forty-one million, four hundred one thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 103 104 130 200 206 260 325 412 515 520 650 824 1030 1300 1339 2060 2575 2600 2678 4120 5150 5356 6695 10300 10712 13390 20600 26780 33475 53560 66950 86413 133900 172826 267800 345652 432065 691304 864130 1123369 1728260 2160325 2246738 3456520 4320650 4493476 5616845 8641300 8900539 8986952 11233690 17282600 17801078 22467380 28084225 35602156 44502695 44934760 56168450 71204312 89005390 112336900 115707007 178010780 222513475 224673800 231414014 356021560 445026950 462828028 578535035 890053900 925656056 1157070070 1780107800 2314140140 2892675175 4628280280 5785350350 11570700700 23141401400