Search a number
-
+
46240455171342 = 2316377411635251
BaseRepresentation
bin10101000001110001100011…
…11001111001110100001110
320001201112200211021212220110
422200320301321321310032
522030100423010440332
6242202323304100450
712511522404560655
oct1240706171716416
9201645624255813
1046240455171342
1113808515504723
125229862a64726
131ca55c13b6723
14b5c09b1a019c
15552c48a714cc
hex2a0e31e79d0e

46240455171342 has 32 divisors (see below), whose sum is σ = 92550036668544. Its totient is φ = 15401966580000.

The previous prime is 46240455171319. The next prime is 46240455171343. The reversal of 46240455171342 is 24317155404264.

46240455171342 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×462404551713422 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 46240455171291 and 46240455171300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46240455171343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72473217 + ... + 73108467.

It is an arithmetic number, because the mean of its divisors is an integer number (2892188645892).

Almost surely, 246240455171342 is an apocalyptic number.

46240455171342 is an abundant number, since it is smaller than the sum of its proper divisors (46309581497202).

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

46240455171342 is a wasteful number, since it uses less digits than its factorization.

46240455171342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644304.

The product of its (nonzero) digits is 3225600, while the sum is 48.

The spelling of 46240455171342 in words is "forty-six trillion, two hundred forty billion, four hundred fifty-five million, one hundred seventy-one thousand, three hundred forty-two".

Divisors: 1 2 3 6 1637 3274 4911 7411 9822 14822 22233 44466 635251 1270502 1905753 3811506 12131807 24263614 36395421 72790842 1039905887 2079811774 3119717661 4707845161 6239435322 9415690322 14123535483 28247070966 7706742528557 15413485057114 23120227585671 46240455171342