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403235160064 = 214114412
BaseRepresentation
bin1011101111000101011…
…00000100000000000000
31102112211011002112021221
411313202230010000000
523101311200110224
6505124344524424
741063354210362
oct5674254040000
91375734075257
10403235160064
11146013810000
1266196780714
132c04296a739
1415733b00d32
15a75093e6e4
hex5de2b04000

403235160064 has 225 divisors, whose sum is σ = 909248697805. Its totient is φ = 178818252800.

The previous prime is 403235160061. The next prime is 403235160067. The reversal of 403235160064 is 460061532304.

The square root of 403235160064 is 635008.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (403235160061) and next prime (403235160067).

It can be written as a sum of positive squares in only one way, i.e., 19430129664 + 383805030400 = 139392^2 + 619520^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (403235160061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 9835003884 + ... + 9835003924.

Almost surely, 2403235160064 is an apocalyptic number.

403235160064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

403235160064 is the 635008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 403235160064

403235160064 is an abundant number, since it is smaller than the sum of its proper divisors (506013537741).

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

403235160064 is an frugal number, since it uses more digits than its factorization.

403235160064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

Adding to 403235160064 its reverse (460061532304), we get a palindrome (863296692368).

The spelling of 403235160064 in words is "four hundred three billion, two hundred thirty-five million, one hundred sixty thousand, sixty-four".