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354003341033241 = 331071125431088783
BaseRepresentation
bin101000001111101101101001…
…1011001000011111100011001
31201102102101111111112121221000
41100133123103121003330121
5332344442320301030431
63252522520105335213
7134364616541430114
oct12037332331037431
91642371444477830
10354003341033241
11a2883a7918a979
1233854276797509
131226b4aab71763
14635bbd2d9b57b
152add68c9349e6
hex141f6d3643f19

354003341033241 has 32 divisors (see below), whose sum is σ = 529355980062720. Its totient is φ = 233794306934352.

The previous prime is 354003341033233. The next prime is 354003341033249. The reversal of 354003341033241 is 142330143300453.

354003341033241 is a `hidden beast` number, since 3 + 5 + 40 + 0 + 3 + 341 + 0 + 33 + 241 = 666.

It is an interprime number because it is at equal distance from previous prime (354003341033233) and next prime (354003341033249).

It is not a de Polignac number, because 354003341033241 - 23 = 354003341033233 is a prime.

It is a super-2 number, since 2×3540033410332412 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 354003341033196 and 354003341033205.

It is not an unprimeable number, because it can be changed into a prime (354003341033249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 324592336 + ... + 325681118.

It is an arithmetic number, because the mean of its divisors is an integer number (16542374376960).

Almost surely, 2354003341033241 is an apocalyptic number.

It is an amenable number.

354003341033241 is a deficient number, since it is larger than the sum of its proper divisors (175352639029479).

354003341033241 is a wasteful number, since it uses less digits than its factorization.

354003341033241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201442 (or 1201436 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

Adding to 354003341033241 its reverse (142330143300453), we get a palindrome (496333484333694).

The spelling of 354003341033241 in words is "three hundred fifty-four trillion, three billion, three hundred forty-one million, thirty-three thousand, two hundred forty-one".

Divisors: 1 3 9 27 107 321 963 2889 112543 337629 1012887 1088783 3038661 3266349 9799047 12042101 29397141 36126303 108378909 116499781 325136727 349499343 1048498029 3145494087 122534905169 367604715507 1102814146521 3308442439563 13111234853083 39333704559249 118001113677747 354003341033241