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144556116150 = 23521756688673
BaseRepresentation
bin1000011010100000110…
…1110100100010110110
3111211010100211120010210
42012220031310202312
54332022331204100
6150224055130250
713305143466525
oct2065015644266
9454110746123
10144556116150
1156340182696
1224023673986
1310829785a04
146dd47844bc
153b60be6c50
hex21a83748b6

144556116150 has 48 divisors (see below), whose sum is σ = 379587361104. Its totient is φ = 36280750080.

The previous prime is 144556116139. The next prime is 144556116203. The reversal of 144556116150 is 51611655441.

It is a junction number, because it is equal to n+sod(n) for n = 144556116099 and 144556116108.

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, 28341787 + ... + 28346886.

It is an arithmetic number, because the mean of its divisors is an integer number (7908070023).

Almost surely, 2144556116150 is an apocalyptic number.

144556116150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144556116150 is an abundant number, since it is smaller than the sum of its proper divisors (235031244954).

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

144556116150 is a wasteful number, since it uses less digits than its factorization.

144556116150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56688705 (or 56688700 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 39.

The spelling of 144556116150 in words is "one hundred forty-four billion, five hundred fifty-six million, one hundred sixteen thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 17 25 30 34 50 51 75 85 102 150 170 255 425 510 850 1275 2550 56688673 113377346 170066019 283443365 340132038 566886730 850330095 963707441 1417216825 1700660190 1927414882 2834433650 2891122323 4251650475 4818537205 5782244646 8503300950 9637074410 14455611615 24092686025 28911223230 48185372050 72278058075 144556116150