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141332420400 = 24352117777017
BaseRepresentation
bin1000001110100000010…
…0011001011100110000
3111111210200212211220220
42003220010121130300
54303422044423100
6144532140133040
713132230515613
oct2035004313460
9444720784826
10141332420400
1154a36515326
1223483b37180
131043493b832
146baa58c17a
153a22bb7aa0
hex20e8119730

141332420400 has 60 divisors (see below), whose sum is σ = 452734857192. Its totient is φ = 37688645120.

The previous prime is 141332420377. The next prime is 141332420443. The reversal of 141332420400 is 4024233141.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×1413324204002 (a number of 23 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 58887309 + ... + 58889708.

Almost surely, 2141332420400 is an apocalyptic number.

141332420400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141332420400 is an abundant number, since it is smaller than the sum of its proper divisors (311402436792).

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

141332420400 is a wasteful number, since it uses less digits than its factorization.

141332420400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117777038 (or 117777027 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 141332420400 its reverse (4024233141), we get a palindrome (145356653541).

The spelling of 141332420400 in words is "one hundred forty-one billion, three hundred thirty-two million, four hundred twenty thousand, four hundred".

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 117777017 235554034 353331051 471108068 588885085 706662102 942216136 1177770170 1413324204 1766655255 1884432272 2355540340 2826648408 2944425425 3533310510 4711080680 5653296816 5888850850 7066621020 8833276275 9422161360 11777701700 14133242040 17666552550 23555403400 28266484080 35333105100 47110806800 70666210200 141332420400