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144031300413 = 371113371296283
BaseRepresentation
bin1000011000100011101…
…1110011101100111101
3111202202210022011021220
42012020323303230331
54324434003103123
6150100030343553
713256141565510
oct2061073635475
9452683264256
10144031300413
11560a0a06880
1223ab795abb9
1310774b22560
146d84bacd77
153b2eacace3
hex2188ef3b3d

144031300413 has 64 divisors (see below), whose sum is σ = 264815265792. Its totient is φ = 67199258880.

The previous prime is 144031300409. The next prime is 144031300417. The reversal of 144031300413 is 314003130441.

It is an interprime number because it is at equal distance from previous prime (144031300409) and next prime (144031300417).

It is not a de Polignac number, because 144031300413 - 22 = 144031300409 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144031300417) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 537031 + ... + 759252.

It is an arithmetic number, because the mean of its divisors is an integer number (4137738528).

Almost surely, 2144031300413 is an apocalyptic number.

144031300413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

144031300413 is a deficient number, since it is larger than the sum of its proper divisors (120783965379).

144031300413 is a wasteful number, since it uses less digits than its factorization.

144031300413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296354.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 144031300413 its reverse (314003130441), we get a palindrome (458034430854).

It can be divided in two parts, 144031 and 300413, that added together give a palindrome (444444).

The spelling of 144031300413 in words is "one hundred forty-four billion, thirty-one million, three hundred thousand, four hundred thirteen".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 111 143 231 259 273 407 429 481 777 1001 1221 1443 2849 3003 3367 5291 8547 10101 15873 37037 111111 1296283 3888849 9073981 14259113 16851679 27221943 42777339 47962471 50555037 99813791 117961753 143887413 185368469 299441373 335737297 353885259 527587181 556105407 623512123 1007211891 1297579283 1582761543 1870536369 3693110267 3892737849 4364584861 6858633353 11079330801 13093754583 20575900059 48010433471 144031300413