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144334231100 = 22524159596669
BaseRepresentation
bin1000011001101011111…
…1011001011000111100
3111210112220022122001222
42012122333121120330
54331044030343400
6150150051252512
713266510502403
oct2063277313074
9453486278058
10144334231100
1156236a02114
1223b812aa138
13107c2808297
146db310663a
153b4b4b8185
hex219afd963c

144334231100 has 72 divisors (see below), whose sum is σ = 326283022800. Its totient is φ = 55370790400.

The previous prime is 144334231061. The next prime is 144334231103. The reversal of 144334231100 is 1132433441.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 144334231100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144334231103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56435 + ... + 540234.

It is an arithmetic number, because the mean of its divisors is an integer number (4531708650).

Almost surely, 2144334231100 is an apocalyptic number.

144334231100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144334231100 is an abundant number, since it is smaller than the sum of its proper divisors (181948791700).

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

144334231100 is a wasteful number, since it uses less digits than its factorization.

144334231100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596783 (or 596776 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 144334231100 its reverse (1132433441), we get a palindrome (145466664541).

The spelling of 144334231100 in words is "one hundred forty-four billion, three hundred thirty-four million, two hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 59 82 100 118 164 205 236 295 410 590 820 1025 1180 1475 2050 2419 2950 4100 4838 5900 9676 12095 24190 48380 60475 120950 241900 596669 1193338 2386676 2983345 5966690 11933380 14916725 24463429 29833450 35203471 48926858 59666900 70406942 97853716 122317145 140813884 176017355 244634290 352034710 489268580 611585725 704069420 880086775 1223171450 1443342311 1760173550 2446342900 2886684622 3520347100 5773369244 7216711555 14433423110 28866846220 36083557775 72167115550 144334231100