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400423133131400 = 235213747949961141
BaseRepresentation
bin101101100001011101100011…
…0100111000011001010001000
31221111210002002121220022200002
41123002323012213003022020
5404441013034040201100
63535343503050302132
7150225421344125201
oct13302730647031210
91844702077808602
10400423133131400
11106650551709005
1238ab0829127948
131425797c6bc112
1470c4823c725a8
153145dd08832d5
hex16c2ec69c3288

400423133131400 has 192 divisors, whose sum is σ = 941635713600000. Its totient is φ = 158347630540800.

The previous prime is 400423133131381. The next prime is 400423133131433. The reversal of 400423133131400 is 4131331324004.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6549144830 + ... + 6549205970.

It is an arithmetic number, because the mean of its divisors is an integer number (4904352675000).

Almost surely, 2400423133131400 is an apocalyptic number.

400423133131400 is a gapful number since it is divisible by the number (40) 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 400423133131400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470817856800000).

400423133131400 is an abundant number, since it is smaller than the sum of its proper divisors (541212580468600).

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

400423133131400 is a wasteful number, since it uses less digits than its factorization.

400423133131400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62272 (or 62263 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 400423133131400 its reverse (4131331324004), we get a palindrome (404554464455404).

The spelling of 400423133131400 in words is "four hundred trillion, four hundred twenty-three billion, one hundred thirty-three million, one hundred thirty-one thousand, four hundred".