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150452241300 = 223252397421081
BaseRepresentation
bin1000110000011110100…
…1110000001110010100
3112101100021102202022100
42030013221300032110
54431111233210200
6153041121402100
713604226644004
oct2140751601624
9471307382270
10150452241300
1158896405799
12251aa199330
131125918236a
1473d3874004
153da8661d00
hex2307a70394

150452241300 has 108 divisors (see below), whose sum is σ = 472773184156. Its totient is φ = 40019443200.

The previous prime is 150452241293. The next prime is 150452241343. The reversal of 150452241300 is 3142254051.

150452241300 is a `hidden beast` number, since 1 + 5 + 0 + 4 + 522 + 4 + 130 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2428912656 + 148023328644 = 49284^2 + 384738^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 146760 + ... + 567840.

Almost surely, 2150452241300 is an apocalyptic number.

150452241300 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 150452241300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236386592078).

150452241300 is an abundant number, since it is smaller than the sum of its proper divisors (322320942856).

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

150452241300 is a wasteful number, since it uses less digits than its factorization.

150452241300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421498 (or 421488 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 150452241300 its reverse (3142254051), we get a palindrome (153594495351).

The spelling of 150452241300 in words is "one hundred fifty billion, four hundred fifty-two million, two hundred forty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 397 450 794 900 1191 1588 1985 2382 3573 3970 4764 5955 7146 7940 9925 11910 14292 17865 19850 23820 29775 35730 39700 59550 71460 89325 119100 178650 357300 421081 842162 1263243 1684324 2105405 2526486 3789729 4210810 5052972 6316215 7579458 8421620 10527025 12632430 15158916 18948645 21054050 25264860 31581075 37897290 42108100 63162150 75794580 94743225 126324300 167169157 189486450 334338314 378972900 501507471 668676628 835845785 1003014942 1504522413 1671691570 2006029884 2507537355 3009044826 3343383140 4179228925 5015074710 6018089652 7522612065 8358457850 10030149420 12537686775 15045224130 16716915700 25075373550 30090448260 37613060325 50150747100 75226120650 150452241300