Search a number
-
+
153854234320131 = 32412269118375089
BaseRepresentation
bin100010111110110111111010…
…111110111101110100000011
3202011202022200010022201201200
4202332313322332331310003
5130131221432441221011
61303115354241432243
744256413232010062
oct4276677276756403
9664668603281650
10153854234320131
114502823a336104
1215309b9393b683
1367b0513419367
1429dc8284b61d9
1512bc17d418856
hex8bedfafbdd03

153854234320131 has 24 divisors (see below), whose sum is σ = 227664278084880. Its totient is φ = 100063379212800.

The previous prime is 153854234320097. The next prime is 153854234320147. The reversal of 153854234320131 is 131023432458351.

It is a happy number.

153854234320131 is a `hidden beast` number, since 1 + 5 + 3 + 85 + 4 + 2 + 3 + 432 + 0 + 131 = 666.

It is not a de Polignac number, because 153854234320131 - 226 = 153854167211267 is a prime.

It is a super-2 number, since 2×1538542343201312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (153854234320181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 814566 + ... + 17560523.

It is an arithmetic number, because the mean of its divisors is an integer number (9486011586870).

Almost surely, 2153854234320131 is an apocalyptic number.

153854234320131 is a deficient number, since it is larger than the sum of its proper divisors (73810043764749).

153854234320131 is a wasteful number, since it uses less digits than its factorization.

153854234320131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18397827 (or 18397824 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

Adding to 153854234320131 its reverse (131023432458351), we get a palindrome (284877666778482).

The spelling of 153854234320131 in words is "one hundred fifty-three trillion, eight hundred fifty-four billion, two hundred thirty-four million, three hundred twenty thousand, one hundred thirty-one".

Divisors: 1 3 9 41 123 369 22691 68073 204219 930331 2790993 8372979 18375089 55125267 165375801 753378649 2260135947 6780407841 416949144499 1250847433497 3752542300491 17094914924459 51284744773377 153854234320131