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354243505161 = 372131491244099
BaseRepresentation
bin1010010011110101000…
…11101110110000001001
31020212100211122121002210
411021322203232300021
521300442314131121
6430423123415333
734410325053300
oct5117243566011
91225324577083
10354243505161
11127263250607
12587a3524549
1327535a9a420
1413207291437
159334878876
hex527a8eec09

354243505161 has 48 divisors (see below), whose sum is σ = 595675080000. Its totient is φ = 185599516032.

The previous prime is 354243505157. The next prime is 354243505163. The reversal of 354243505161 is 161505342453.

It is a happy number.

It is not a de Polignac number, because 354243505161 - 22 = 354243505157 is a prime.

It is a super-3 number, since 3×3542435051613 (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 not an unprimeable number, because it can be changed into a prime (354243505163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 337311 + ... + 906788.

It is an arithmetic number, because the mean of its divisors is an integer number (12409897500).

Almost surely, 2354243505161 is an apocalyptic number.

It is an amenable number.

354243505161 is a deficient number, since it is larger than the sum of its proper divisors (241431574839).

354243505161 is a wasteful number, since it uses less digits than its factorization.

354243505161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244278 (or 1244271 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 39.

The spelling of 354243505161 in words is "three hundred fifty-four billion, two hundred forty-three million, five hundred five thousand, one hundred sixty-one".

Divisors: 1 3 7 13 21 39 49 91 147 149 273 447 637 1043 1911 1937 3129 5811 7301 13559 21903 40677 94913 284739 1244099 3732297 8708693 16173287 26126079 48519861 60960851 113213009 182882553 185370751 339639027 556112253 792491063 1297595257 2377473189 2409819763 3892785771 7229459289 9083166799 16868738341 27249500397 50606215023 118081168387 354243505161