Search a number
-
+
155454540345 = 32513265734257
BaseRepresentation
bin1001000011000111010…
…0000000101000111001
3112212020220010212120100
42100301310000220321
510021332330242340
6155225334150013
714142210535146
oct2206164005071
9485226125510
10155454540345
115aa23043035
12261654b2309
1311875637520
147749d733cd
15409c8be830
hex2431d00a39

155454540345 has 24 divisors (see below), whose sum is σ = 290181809736. Its totient is φ = 76531465728.

The previous prime is 155454540343. The next prime is 155454540349. The reversal of 155454540345 is 543045454551.

155454540345 is a `hidden beast` number, since 1 + 5 + 54 + 54 + 540 + 3 + 4 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4139764281 + 151314776064 = 64341^2 + 388992^2 .

It is not a de Polignac number, because 155454540345 - 21 = 155454540343 is a prime.

It is a super-2 number, since 2×1554545403452 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 155454540345.

It is not an unprimeable number, because it can be changed into a prime (155454540341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132866544 + ... + 132867713.

It is an arithmetic number, because the mean of its divisors is an integer number (12090908739).

Almost surely, 2155454540345 is an apocalyptic number.

155454540345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

155454540345 is a deficient number, since it is larger than the sum of its proper divisors (134727269391).

155454540345 is a wasteful number, since it uses less digits than its factorization.

155454540345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265734281 (or 265734278 counting only the distinct ones).

The product of its (nonzero) digits is 2400000, while the sum is 45.

Adding to 155454540345 its reverse (543045454551), we get a palindrome (698499994896).

The spelling of 155454540345 in words is "one hundred fifty-five billion, four hundred fifty-four million, five hundred forty thousand, three hundred forty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 265734257 797202771 1328671285 2391608313 3454545341 3986013855 10363636023 11958041565 17272726705 31090908069 51818180115 155454540345