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149299200000 = 2163655
BaseRepresentation
bin1000101100001011101…
…1010000000000000000
3112021100220210012000000
42023002323100000000
54421231043400000
6152330452000000
713533526155366
oct2130273200000
9467326705000
10149299200000
11583545627a5
1224b28000000
131110431cbc2
147324689636
153d3c300000
hex22c2ed0000

149299200000 has 714 divisors, whose sum is σ = 559575915318. Its totient is φ = 39813120000.

The previous prime is 149299199993. The next prime is 149299200013. The reversal of 149299200000 is 2992941.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as 6! ⋅ (5!)4.

It can be written as a sum of positive squares in 3 ways, for example, as 68988174336 + 80311025664 = 262656^2 + 283392^2 .

It is a super-2 number, since 2×1492992000002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 29859839998 + ... + 29859840002.

Almost surely, 2149299200000 is an apocalyptic number.

149299200000 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 149299200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279787957659).

149299200000 is an abundant number, since it is smaller than the sum of its proper divisors (410276715318).

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

149299200000 is an frugal number, since it uses more digits than its factorization.

149299200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 149299200000 in words is "one hundred forty-nine billion, two hundred ninety-nine million, two hundred thousand".