Search a number
-
+
34010220431243 = 7232922732089261
BaseRepresentation
bin1111011101110100111110…
…00110111000011110001011
311110102100022201221011100202
413232322133012320132023
513424210412412244433
6200200025104322415
710110104652545060
oct756723706703613
9143370281834322
1034010220431243
11a922720874a11
1239934aa01340b
1315c91c47b3c24
14858163c2cc67
153dea3d184ee8
hex1eee9f1b878b

34010220431243 has 32 divisors (see below), whose sum is σ = 42142185999360. Its totient is φ = 26804030520960.

The previous prime is 34010220431237. The next prime is 34010220431273. The reversal of 34010220431243 is 34213402201043.

It is not a de Polignac number, because 34010220431243 - 24 = 34010220431227 is a prime.

It is a super-3 number, since 3×340102204312433 (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34010220431273) 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, 14984768 + ... + 17104493.

It is an arithmetic number, because the mean of its divisors is an integer number (1316943312480).

Almost surely, 234010220431243 is an apocalyptic number.

34010220431243 is a deficient number, since it is larger than the sum of its proper divisors (8131965568117).

34010220431243 is a wasteful number, since it uses less digits than its factorization.

34010220431243 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32089547.

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 34010220431243 its reverse (34213402201043), we get a palindrome (68223622632286).

The spelling of 34010220431243 in words is "thirty-four trillion, ten billion, two hundred twenty million, four hundred thirty-one thousand, two hundred forty-three".

Divisors: 1 7 23 29 161 203 227 667 1589 4669 5221 6583 36547 46081 151409 1059863 32089261 224624827 738053003 930588569 5166371021 6514119983 7284262247 21403537087 50989835729 149824759609 167538031681 211243605163 1172766221767 1478705236141 4858602918749 34010220431243