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15430343040 = 2732572232377
BaseRepresentation
bin11100101111011100…
…00101100110000000
31110211100220122100200
432113232011212000
5223100131434130
611031045445200
71054243515600
oct162756054600
943740818320
1015430343040
1165a9032122
122ba7710800
1315bba527c8
14a65446c00
156049bd760
hex397b85980

15430343040 has 576 divisors, whose sum is σ = 64704238560. Its totient is φ = 3372171264.

The previous prime is 15430343039. The next prime is 15430343051. The reversal of 15430343040 is 4034303451.

15430343040 is a `hidden beast` number, since 1 + 54 + 303 + 4 + 304 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 15430342995 and 15430343013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6490332 + ... + 6492708.

Almost surely, 215430343040 is an apocalyptic number.

15430343040 is a gapful number since it is divisible by the number (10) 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 15430343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32352119280).

15430343040 is an abundant number, since it is smaller than the sum of its proper divisors (49273895520).

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

15430343040 is a wasteful number, since it uses less digits than its factorization.

15430343040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2439 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 15430343040 its reverse (4034303451), we get a palindrome (19464646491).

The spelling of 15430343040 in words is "fifteen billion, four hundred thirty million, three hundred forty-three thousand, forty".