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400014230300 = 2252137191315263
BaseRepresentation
bin1011101001000101011…
…01001100001100011100
31102020111200100100021222
411310202231030030130
523023212120332200
6503433005112512
740620503566526
oct5644255141434
91366450310258
10400014230300
11144710671883
1265637b58738
132b94b581539
141550a028a16
15a612ca9d85
hex5d22b4c31c

400014230300 has 72 divisors (see below), whose sum is σ = 874881254016. Its totient is φ = 158744335360.

The previous prime is 400014230267. The next prime is 400014230303. The reversal of 400014230300 is 3032410004.

It is a super-2 number, since 2×4000142303002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400014230303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26200469 + ... + 26215731.

It is an arithmetic number, because the mean of its divisors is an integer number (12151128528).

Almost surely, 2400014230300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400014230300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437440627008).

400014230300 is an abundant number, since it is smaller than the sum of its proper divisors (474867023716).

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

400014230300 is a wasteful number, since it uses less digits than its factorization.

400014230300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17327 (or 17320 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 400014230300 its reverse (3032410004), we get a palindrome (403046640304).

The spelling of 400014230300 in words is "four hundred billion, fourteen million, two hundred thirty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 137 274 548 685 1370 1913 2740 3425 3826 6850 7652 9565 13700 15263 19130 30526 38260 47825 61052 76315 95650 152630 191300 262081 305260 381575 524162 763150 1048324 1310405 1526300 2091031 2620810 4182062 5241620 6552025 8364124 10455155 13104050 20910310 26208100 29198119 41820620 52275775 58396238 104551550 116792476 145990595 209103100 291981190 583962380 729952975 1459905950 2919811900 4000142303 8000284606 16000569212 20000711515 40001423030 80002846060 100003557575 200007115150 400014230300