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340116552048 = 243713234772031
BaseRepresentation
bin1001111001100001000…
…01101011100101110000
31012111220022022000121010
410330300201223211300
521033024314131143
6420125234030520
733400255664130
oct4746041534560
91174808260533
10340116552048
11121273a21649
1255b00418440
13260c409b880
1412666dacac0
158ca9519a33
hex4f3086b970

340116552048 has 320 divisors, whose sum is σ = 1152438239232. Its totient is φ = 83974302720.

The previous prime is 340116552023. The next prime is 340116552103. The reversal of 340116552048 is 840255611043.

It is a super-3 number, since 3×3401165520483 (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 340116551997 and 340116552015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4685793 + ... + 4757823.

Almost surely, 2340116552048 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 340116552048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576219119616).

340116552048 is an abundant number, since it is smaller than the sum of its proper divisors (812321687184).

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

340116552048 is a wasteful number, since it uses less digits than its factorization.

340116552048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72132 (or 72126 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The spelling of 340116552048 in words is "three hundred forty billion, one hundred sixteen million, five hundred fifty-two thousand, forty-eight".