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144300350350 = 252132959129749
BaseRepresentation
bin1000011001100011111…
…0001001101110001110
3111210110112120022102101
42012120332021232032
54331011342202400
6150142441145314
713265616511612
oct2063076115616
9453415508371
10144300350350
1156219870aa2
1223b71a8b23a
13107b87a4ac0
146dac807342
153b4852456a
hex2198f89b8e

144300350350 has 96 divisors (see below), whose sum is σ = 304082100000. Its totient is φ = 50570580480.

The previous prime is 144300350347. The next prime is 144300350399. The reversal of 144300350350 is 53053003441.

144300350350 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1443003503502 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1047276 + ... + 1177024.

It is an arithmetic number, because the mean of its divisors is an integer number (3167521875).

Almost surely, 2144300350350 is an apocalyptic number.

144300350350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144300350350 is an abundant number, since it is smaller than the sum of its proper divisors (159781749650).

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

144300350350 is a wasteful number, since it uses less digits than its factorization.

144300350350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129862 (or 129857 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

Adding to 144300350350 its reverse (53053003441), we get a palindrome (197353353791).

The spelling of 144300350350 in words is "one hundred forty-four billion, three hundred million, three hundred fifty thousand, three hundred fifty".

Divisors: 1 2 5 10 13 25 26 29 50 58 59 65 118 130 145 290 295 325 377 590 650 725 754 767 1450 1475 1534 1711 1885 2950 3422 3770 3835 7670 8555 9425 17110 18850 19175 22243 38350 42775 44486 85550 111215 129749 222430 259498 556075 648745 1112150 1297490 1686737 3243725 3373474 3762721 6487450 7525442 7655191 8433685 15310382 16867370 18813605 37627210 38275955 42168425 48915373 76551910 84336850 94068025 97830746 99517483 188136050 191379775 199034966 222000539 244576865 382759550 444001078 489153730 497587415 995174830 1110002695 1222884325 2220005390 2445768650 2487937075 2886007007 4975874150 5550013475 5772014014 11100026950 14430035035 28860070070 72150175175 144300350350