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354320545433040 = 2432511315727738677
BaseRepresentation
bin101000010010000001010111…
…0001111110100010111010000
31201110112201021000120201101200
41100210002232033310113100
5332420141434112324130
63253324340024431200
7134426546264354454
oct12044025617642720
91643481230521350
10354320545433040
11a29965548633aa
12338a5841918500
131229239012b594
14636d2c4dc8664
152ae6a556e3760
hex14240ae3f45d0

354320545433040 has 240 divisors, whose sum is σ = 1208103086752848. Its totient is φ = 93052828237824.

The previous prime is 354320545433033. The next prime is 354320545433053. The reversal of 354320545433040 is 40334545023453.

354320545433040 is a `hidden beast` number, since 3 + 5 + 4 + 3 + 20 + 54 + 543 + 30 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5767029343296 + 348553516089744 = 2401464^2 + 18669588^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×3543205454330402 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent 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, 1095819 + ... + 26642858.

Almost surely, 2354320545433040 is an apocalyptic number.

354320545433040 is a gapful number since it is divisible by the number (30) 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 354320545433040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604051543376424).

354320545433040 is an abundant number, since it is smaller than the sum of its proper divisors (853782541319808).

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

354320545433040 is a wasteful number, since it uses less digits than its factorization.

354320545433040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27738966 (or 27738957 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 45.

The spelling of 354320545433040 in words is "three hundred fifty-four trillion, three hundred twenty billion, five hundred forty-five million, four hundred thirty-three thousand, forty".