Search a number
-
+
1034431023401 = 2324150993701
BaseRepresentation
bin11110000110110001110…
…01001100100100101001
310122220001021110122020222
433003120321030210221
5113422003320222101
62111113330455425
7134510110423316
oct17033071144451
93586037418228
101034431023401
11369777388436
12148590a34575
1376714666679
14380d1163d0d
151bd943a601b
hexf0d8e4c929

1034431023401 has 24 divisors (see below), whose sum is σ = 1109924552520. Its totient is φ = 963415904000.

The previous prime is 1034431023383. The next prime is 1034431023467. The reversal of 1034431023401 is 1043201344301.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 317843378176 + 716587645225 = 563776^2 + 846515^2 .

It is not a de Polignac number, because 1034431023401 - 210 = 1034431022377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1034431023001) 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 23 ways as a sum of consecutive naturals, for example, 10992851 + ... + 11086551.

It is an arithmetic number, because the mean of its divisors is an integer number (46246856355).

Almost surely, 21034431023401 is an apocalyptic number.

It is an amenable number.

1034431023401 is a deficient number, since it is larger than the sum of its proper divisors (75493529119).

1034431023401 is an equidigital number, since it uses as much as digits as its factorization.

1034431023401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94297 (or 94274 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 1034431023401 its reverse (1043201344301), we get a palindrome (2077632367702).

The spelling of 1034431023401 in words is "one trillion, thirty-four billion, four hundred thirty-one million, twenty-three thousand, four hundred one".

Divisors: 1 23 41 509 529 943 11707 20869 21689 93701 269261 479987 2155123 3841741 11039701 47693809 49567829 88360043 1096957607 1955446169 2032280989 25230024961 44975261887 1034431023401