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423202134400 = 27521723338237
BaseRepresentation
bin1100010100010001101…
…00000001100110000000
31111110100200110220211221
412022020310001212000
523413204221300100
6522225534244424
742401225534503
oct6121064014600
91443320426757
10423202134400
1115352a632391
126a029656714
1330ba5551156
14166a986b13a
15b01d83501a
hex6288d01980

423202134400 has 192 divisors, whose sum is σ = 1155069240480. Its totient is φ = 152395612160.

The previous prime is 423202134373. The next prime is 423202134457. The reversal of 423202134400 is 4431202324.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1082082 + ... + 1420318.

Almost surely, 2423202134400 is an apocalyptic number.

423202134400 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 423202134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577534620240).

423202134400 is an abundant number, since it is smaller than the sum of its proper divisors (731867106080).

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

423202134400 is a wasteful number, since it uses less digits than its factorization.

423202134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338301 (or 338284 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 423202134400 its reverse (4431202324), we get a palindrome (427633336724).

The spelling of 423202134400 in words is "four hundred twenty-three billion, two hundred two million, one hundred thirty-four thousand, four hundred".