Search a number
-
+
34415304403023 = 3229919285750221
BaseRepresentation
bin1111101001100111011111…
…11111100110100001001111
311111212001220201220001112200
413310303233333212201033
514002330020411344043
6201110101135532543
710151265216521205
oct764635777464117
9144761821801480
1034415304403023
11aa694a3148585
123a39abb98a153
1316284704a1c9b
1486d9d12b1075
153ea34b0707d3
hex1f4ceffe684f

34415304403023 has 48 divisors (see below), whose sum is σ = 51500169988800. Its totient is φ = 22120089223680.

The previous prime is 34415304403003. The next prime is 34415304403027. The reversal of 34415304403023 is 32030440351443.

It is a happy number.

34415304403023 is a `hidden beast` number, since 3 + 4 + 4 + 1 + 5 + 304 + 40 + 302 + 3 = 666.

It is not a de Polignac number, because 34415304403023 - 210 = 34415304401999 is a prime.

It is a super-3 number, since 3×344153044030233 (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34415304403027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 685252053 + ... + 685302273.

It is an arithmetic number, because the mean of its divisors is an integer number (1072920208100).

Almost surely, 234415304403023 is an apocalyptic number.

34415304403023 is a deficient number, since it is larger than the sum of its proper divisors (17084865585777).

34415304403023 is a wasteful number, since it uses less digits than its factorization.

34415304403023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54032 (or 54029 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

Adding to 34415304403023 its reverse (32030440351443), we get a palindrome (66445744754466).

The spelling of 34415304403023 in words is "thirty-four trillion, four hundred fifteen billion, three hundred four million, four hundred three thousand, twenty-three".

Divisors: 1 3 9 29 87 261 919 2757 2857 8271 8571 25713 26651 50221 79953 82853 150663 239859 248559 451989 745677 1456409 2625583 4369227 7876749 13107681 23630247 46153099 76141907 138459297 143481397 228425721 415377891 430444191 685277163 1291332573 1338439871 4015319613 4160960513 12045958839 12482881539 37448644617 131859403843 395578211529 1186734634587 3823922711447 11471768134341 34415304403023