Search a number
-
+
153402514462133 is a prime number
BaseRepresentation
bin100010111000010011001110…
…011000011101010110110101
3202010011010200222201100110122
4202320103032120131112311
5130101321322200242013
61302132050421301325
744211652212403046
oct4270231630352665
9663133628640418
10153402514462133
1144973706244a12
1215256527864845
136779a4492b161
1429c4a1540c8cd
1512b05411a2a08
hex8b84ce61d5b5

153402514462133 has 2 divisors, whose sum is σ = 153402514462134. Its totient is φ = 153402514462132.

The previous prime is 153402514462129. The next prime is 153402514462181. The reversal of 153402514462133 is 331264415204351.

153402514462133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 118299709705489 + 35102804756644 = 10876567^2 + 5924762^2 .

It is a cyclic number.

It is not a de Polignac number, because 153402514462133 - 22 = 153402514462129 is a prime.

It is a super-3 number, since 3×1534025144621333 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (153402514452133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 76701257231066 + 76701257231067.

It is an arithmetic number, because the mean of its divisors is an integer number (76701257231067).

Almost surely, 2153402514462133 is an apocalyptic number.

It is an amenable number.

153402514462133 is a deficient number, since it is larger than the sum of its proper divisors (1).

153402514462133 is an equidigital number, since it uses as much as digits as its factorization.

153402514462133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1036800, while the sum is 44.

Adding to 153402514462133 its reverse (331264415204351), we get a palindrome (484666929666484).

The spelling of 153402514462133 in words is "one hundred fifty-three trillion, four hundred two billion, five hundred fourteen million, four hundred sixty-two thousand, one hundred thirty-three".