Search a number
-
+
453342243354 = 2371113312434889
BaseRepresentation
bin1101001100011010100…
…11011010101000011010
31121100011012102002120120
412212031103122220122
524411421103241404
6544132413334110
744516146326330
oct6461523325032
91540135362516
10453342243354
11165296972340
1273a3b497336
1333999961050
1417d28747b50
15bbd48d79d9
hex698d4daa1a

453342243354 has 128 divisors (see below), whose sum is σ = 1256636989440. Its totient is φ = 105187161600.

The previous prime is 453342243353. The next prime is 453342243407.

453342243354 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (453342243353) 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, 1031259 + ... + 1403630.

It is an arithmetic number, because the mean of its divisors is an integer number (9817476480).

Almost surely, 2453342243354 is an apocalyptic number.

453342243354 is an abundant number, since it is smaller than the sum of its proper divisors (803294746086).

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

453342243354 is a wasteful number, since it uses less digits than its factorization.

453342243354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2434956.

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

It can be divided in two parts, 453342 and 243354, that added together give a palindrome (696696).

The spelling of 453342243354 in words is "four hundred fifty-three billion, three hundred forty-two million, two hundred forty-three thousand, three hundred fifty-four".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 31 33 39 42 62 66 77 78 91 93 143 154 182 186 217 231 273 286 341 403 429 434 462 546 651 682 806 858 1001 1023 1209 1302 2002 2046 2387 2418 2821 3003 4433 4774 5642 6006 7161 8463 8866 13299 14322 16926 26598 31031 62062 93093 186186 2434889 4869778 7304667 14609334 17044223 26783779 31653557 34088446 51132669 53567558 63307114 75481559 80351337 94960671 102265338 150963118 160702674 187486453 189921342 221574899 226444677 348189127 374972906 443149798 452889354 528370913 562459359 664724697 696378254 830297149 981260267 1044567381 1056741826 1124918718 1329449394 1585112739 1660594298 1962520534 2089134762 2437323889 2490891447 2943780801 3170225478 4874647778 4981782894 5812080043 5887561602 6868821869 7311971667 10793862937 11624160086 13737643738 14623943334 17436240129 20606465607 21587725874 32381588811 34872480258 41212931214 64763177622 75557040559 151114081118 226671121677 453342243354