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149243953400 = 23524434673607
BaseRepresentation
bin1000101011111110100…
…0100000000011111000
3112021020001211100220122
42022333220200003320
54421122423002100
6152321155512412
713532255446523
oct2127750400370
9467201740818
10149243953400
1158326359153
1224b115b8708
13110c5a486c9
14731b1c7bba
153d3753a985
hex22bfa200f8

149243953400 has 96 divisors (see below), whose sum is σ = 348616794240. Its totient is φ = 59418802560.

The previous prime is 149243953399. The next prime is 149243953429. The reversal of 149243953400 is 4359342941.

149243953400 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 2×1492439534002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 41374397 + ... + 41378003.

It is an arithmetic number, because the mean of its divisors is an integer number (3631424940).

Almost surely, 2149243953400 is an apocalyptic number.

149243953400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149243953400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174308397120).

149243953400 is an abundant number, since it is smaller than the sum of its proper divisors (199372840840).

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

149243953400 is a wasteful number, since it uses less digits than its factorization.

149243953400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4533 (or 4524 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 44.

The spelling of 149243953400 in words is "one hundred forty-nine billion, two hundred forty-three million, nine hundred fifty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 443 467 886 934 1772 1868 2215 2335 3544 3607 3736 4430 4670 7214 8860 9340 11075 11675 14428 17720 18035 18680 22150 23350 28856 36070 44300 46700 72140 88600 90175 93400 144280 180350 206881 360700 413762 721400 827524 1034405 1597901 1655048 1684469 2068810 3195802 3368938 4137620 5172025 6391604 6737876 7989505 8275240 8422345 10344050 12783208 13475752 15979010 16844690 20688100 31958020 33689380 39947525 41376200 42111725 63916040 67378760 79895050 84223450 159790100 168446900 319580200 336893800 746219767 1492439534 2984879068 3731098835 5969758136 7462197670 14924395340 18655494175 29848790680 37310988350 74621976700 149243953400