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150013340240 = 24519967102061
BaseRepresentation
bin1000101110110101111…
…1011110101001010000
3112100012200120021020112
42023231133132221100
54424211403341430
6152525402300452
713560320232041
oct2135537365120
9470180507215
10150013340240
115869068a945
12250a71b7728
13111b92704aa
1473914648c8
153d7ed67195
hex22ed7dea50

150013340240 has 80 divisors (see below), whose sum is σ = 367521179520. Its totient is φ = 56787816960.

The previous prime is 150013340219. The next prime is 150013340263. The reversal of 150013340240 is 42043310051.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1418810 + ... + 1520870.

It is an arithmetic number, because the mean of its divisors is an integer number (4594014744).

Almost surely, 2150013340240 is an apocalyptic number.

150013340240 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 150013340240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183760589760).

150013340240 is an abundant number, since it is smaller than the sum of its proper divisors (217507839280).

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

150013340240 is a wasteful number, since it uses less digits than its factorization.

150013340240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103060 (or 103054 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 150013340240 its reverse (42043310051), we get a palindrome (192056650291).

The spelling of 150013340240 in words is "one hundred fifty billion, thirteen million, three hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 967 1520 1934 3868 4835 7736 9670 15472 18373 19340 36746 38680 73492 77360 91865 102061 146984 183730 204122 293968 367460 408244 510305 734920 816488 1020610 1469840 1632976 1939159 2041220 3878318 4082440 7756636 8164880 9695795 15513272 19391590 31026544 38783180 77566360 98692987 155132720 197385974 394771948 493464935 789543896 986929870 1579087792 1875166753 1973859740 3750333506 3947719480 7500667012 7895438960 9375833765 15001334024 18751667530 30002668048 37503335060 75006670120 150013340240