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144341315310 = 235371061122561
BaseRepresentation
bin1000011001101101101…
…0011010111011101110
3111210120101122112210010
42012123122122323232
54331102334042220
6150150503154050
713266624636153
oct2063332327356
9453511575703
10144341315310
115623aa00635
1223b83745926
13107c411891a
146db402c22a
153b4be171e0
hex219b69aeee

144341315310 has 64 divisors (see below), whose sum is σ = 356120069184. Its totient is φ = 37415116800.

The previous prime is 144341315227. The next prime is 144341315333. The reversal of 144341315310 is 13513143441.

It is a super-4 number, since 4×1443413153104 (a number of 46 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1116430 + ... + 1238990.

It is an arithmetic number, because the mean of its divisors is an integer number (5564376081).

Almost surely, 2144341315310 is an apocalyptic number.

144341315310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144341315310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178060034592).

144341315310 is an abundant number, since it is smaller than the sum of its proper divisors (211778753874).

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

144341315310 is a wasteful number, since it uses less digits than its factorization.

144341315310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123669.

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 144341315310 its reverse (13513143441), we get a palindrome (157854458751).

The spelling of 144341315310 in words is "one hundred forty-four billion, three hundred forty-one million, three hundred fifteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 370 555 1061 1110 2122 3183 5305 6366 10610 15915 31830 39257 78514 117771 122561 196285 235542 245122 367683 392570 588855 612805 735366 1177710 1225610 1838415 3676830 4534757 9069514 13604271 22673785 27208542 45347570 68021355 130037221 136042710 260074442 390111663 650186105 780223326 1300372210 1950558315 3901116630 4811377177 9622754354 14434131531 24056885885 28868263062 48113771770 72170657655 144341315310