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149428181400 = 23352251992219
BaseRepresentation
bin1000101100101010011…
…1010001100110011000
3112021200220111010012220
42023022213101212120
54422012103301100
6152351340304040
713536653404431
oct2131247214630
9467626433186
10149428181400
11584103493a3
1224b63242020
1311124c6cb64
147337862488
153d487cbaa0
hex22ca9d1998

149428181400 has 96 divisors (see below), whose sum is σ = 465073358400. Its totient is φ = 39688720000.

The previous prime is 149428181381. The next prime is 149428181401. The reversal of 149428181400 is 4181824941.

149428181400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1494281814002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149428181401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 345510 + ... + 646709.

It is an arithmetic number, because the mean of its divisors is an integer number (4844514150).

Almost surely, 2149428181400 is an apocalyptic number.

149428181400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149428181400 is an abundant number, since it is smaller than the sum of its proper divisors (315645177000).

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

149428181400 is a wasteful number, since it uses less digits than its factorization.

149428181400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992489 (or 992480 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The spelling of 149428181400 in words is "one hundred forty-nine billion, four hundred twenty-eight million, one hundred eighty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 251 300 502 600 753 1004 1255 1506 2008 2510 3012 3765 5020 6024 6275 7530 10040 12550 15060 18825 25100 30120 37650 50200 75300 150600 992219 1984438 2976657 3968876 4961095 5953314 7937752 9922190 11906628 14883285 19844380 23813256 24805475 29766570 39688760 49610950 59533140 74416425 99221900 119066280 148832850 198443800 249046969 297665700 498093938 595331400 747140907 996187876 1245234845 1494281814 1992375752 2490469690 2988563628 3735704535 4980939380 5977127256 6226174225 7471409070 9961878760 12452348450 14942818140 18678522675 24904696900 29885636280 37357045350 49809393800 74714090700 149428181400