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354243342453 = 371113149791699
BaseRepresentation
bin1010010011110101000…
…11000111000001110101
31020212100211100022220120
411021322203013001311
521300442243424303
6430423120122153
734410323505030
oct5117243070165
91225324308816
10354243342453
1112726314a340
12587a3466359
1327535a41350
141320724c017
159334845553
hex527a8c7075

354243342453 has 64 divisors (see below), whose sum is σ = 638426880000. Its totient is φ = 168726677760.

The previous prime is 354243342413. The next prime is 354243342461.

354243342453 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 354243342453 - 212 = 354243338357 is a prime.

It is a super-3 number, since 3×3542433424533 (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354243342413) 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 63 ways as a sum of consecutive naturals, for example, 51598 + ... + 843296.

It is an arithmetic number, because the mean of its divisors is an integer number (9975420000).

Almost surely, 2354243342453 is an apocalyptic number.

354243342453 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

354243342453 is a deficient number, since it is larger than the sum of its proper divisors (284183537547).

354243342453 is a wasteful number, since it uses less digits than its factorization.

354243342453 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791882.

The product of its digits is 2073600, while the sum is 42.

It can be divided in two parts, 354243 and 342453, that added together give a palindrome (696696).

The spelling of 354243342453 in words is "three hundred fifty-four billion, two hundred forty-three million, three hundred forty-two thousand, four hundred fifty-three".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 149 231 273 429 447 1001 1043 1639 1937 3003 3129 4917 5811 11473 13559 21307 34419 40677 63921 149149 447447 791699 2375097 5541893 8708689 10292087 16625679 26126067 30876261 60960823 72044609 113212957 117963151 182882469 216133827 339638871 353889453 792490699 825742057 1297594661 1533520963 2377472097 2477226171 3892783983 4600562889 9083162627 10734646741 16868730593 27249487881 32203940223 50606191779 118081114151 354243342453