Search a number
-
+
151123434450054 = 231118149092577011
BaseRepresentation
bin100010010111001000101010…
…101000001010110010000110
3201211002020222222120222011220
4202113020222220022302012
5124302001243204400204
61253225051455141210
743555210405053633
oct4227105250126206
9654066888528156
10151123434450054
11441750a7a70450
1214b48898514806
136642b56717281
1429465add8318a
15127110240b1d9
hex89722aa0ac86

151123434450054 has 64 divisors (see below), whose sum is σ = 331613202735360. Its totient is φ = 45532674288000.

The previous prime is 151123434449971. The next prime is 151123434450067. The reversal of 151123434450054 is 450054434321151.

It is a super-3 number, since 3×1511234344500543 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 151123434449988 and 151123434450015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57354409 + ... + 59931419.

It is an arithmetic number, because the mean of its divisors is an integer number (5181456292740).

Almost surely, 2151123434450054 is an apocalyptic number.

151123434450054 is an abundant number, since it is smaller than the sum of its proper divisors (180489768285306).

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

151123434450054 is a wasteful number, since it uses less digits than its factorization.

151123434450054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2582117.

The product of its (nonzero) digits is 576000, while the sum is 42.

The spelling of 151123434450054 in words is "one hundred fifty-one trillion, one hundred twenty-three billion, four hundred thirty-four million, four hundred fifty thousand, fifty-four".

Divisors: 1 2 3 6 11 22 33 66 181 362 543 1086 1991 3982 4909 5973 9818 11946 14727 29454 53999 107998 161997 323994 888529 1777058 2577011 2665587 5154022 5331174 7731033 9773819 15462066 19547638 28347121 29321457 56694242 58642914 85041363 170082726 466438991 932877982 1399316973 2798633946 5130828901 10261657802 12650546999 15392486703 25301093998 30784973406 37951640997 75903281994 139156016989 278312033978 417468050967 834936101934 2289749006819 4579498013638 6869247020457 13738494040914 25187239075009 50374478150018 75561717225027 151123434450054