Search a number
-
+
34115151222032 = 2417337372176113
BaseRepresentation
bin1111100000111000011010…
…11110000101010100010000
311110210101011112201121222112
413300130031132011110100
513432420312203101112
6200320141211324452
710120511151546656
oct760341536052420
9143711145647875
1034115151222032
11a963177537121
1239ab8b3150728
1316060779cc64a
1485d279a96dd6
153e2630204a22
hex1f070d785510

34115151222032 has 40 divisors (see below), whose sum is σ = 70193903804856. Its totient is φ = 16006550224896.

The previous prime is 34115151222011. The next prime is 34115151222043. The reversal of 34115151222032 is 23022215151143.

It can be written as a sum of positive squares in 4 ways, for example, as 13793231477776 + 20321919744256 = 3713924^2 + 4507984^2 .

It is a super-2 number, since 2×341151512220322 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34115151222032.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 185996393 + ... + 186179720.

Almost surely, 234115151222032 is an apocalyptic number.

It is an amenable number.

34115151222032 is an abundant number, since it is smaller than the sum of its proper divisors (36078752582824).

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

34115151222032 is a wasteful number, since it uses less digits than its factorization.

34115151222032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372176475 (or 372176469 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

Adding to 34115151222032 its reverse (23022215151143), we get a palindrome (57137366373175).

The spelling of 34115151222032 in words is "thirty-four trillion, one hundred fifteen billion, one hundred fifty-one million, two hundred twenty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 17 34 68 136 272 337 674 1348 2696 5392 5729 11458 22916 45832 91664 372176113 744352226 1488704452 2977408904 5954817808 6326993921 12653987842 25307975684 50615951368 101231902736 125423350081 250846700162 501693400324 1003386800648 2006773601296 2132196951377 4264393902754 8528787805508 17057575611016 34115151222032