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144299495405 = 513891071132063
BaseRepresentation
bin1000011001100011101…
…0111000111111101101
3111210110110221212122202
42012120322320333231
54331011132323110
6150142410551245
713265606321222
oct2063072707755
9453413855582
10144299495405
115621933772a
1223b71738525
13107b8565910
146dac663949
153b484060a5
hex2198eb8fed

144299495405 has 64 divisors (see below), whose sum is σ = 192114478080. Its totient is φ = 103403790336.

The previous prime is 144299495393. The next prime is 144299495443. The reversal of 144299495405 is 504594992441.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-144299495405 is a prime.

It is a super-3 number, since 3×1442994954053 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69945404 + ... + 69947466.

It is an arithmetic number, because the mean of its divisors is an integer number (3001788720).

Almost surely, 2144299495405 is an apocalyptic number.

It is an amenable number.

144299495405 is a deficient number, since it is larger than the sum of its proper divisors (47814982675).

144299495405 is a wasteful number, since it uses less digits than its factorization.

144299495405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2390.

The product of its (nonzero) digits is 9331200, while the sum is 56.

The spelling of 144299495405 in words is "one hundred forty-four billion, two hundred ninety-nine million, four hundred ninety-five thousand, four hundred five".

Divisors: 1 5 13 65 89 107 113 445 535 565 1157 1391 1469 2063 5785 6955 7345 9523 10057 10315 12091 26819 47615 50285 60455 123799 130741 134095 157183 183607 220741 233119 618995 653705 785915 918035 1076099 1103705 1165595 2386891 2869633 3030547 5380495 11934455 13989287 14348165 15152735 19645949 20747591 24943733 69946435 98229745 103737955 124718665 255397337 269718683 324268529 1276986685 1348593415 1621342645 2219992237 11099961185 28859899081 144299495405