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144104411431434 = 231731185021246317
BaseRepresentation
bin100000110000111111101100…
…010000010000001000001010
3200220020020200012110112001110
4200300333230100100020022
5122342001313311301214
61230252352552231150
742232125436566636
oct4060775420201012
9626206605415043
10144104411431434
1141a09379505713
12141b449799b4b6
136253cabc51b0c
1427829954dddc6
15119d746b27159
hex830fec41020a

144104411431434 has 64 divisors (see below), whose sum is σ = 315009209060352. Its totient is φ = 43750450867200.

The previous prime is 144104411431369. The next prime is 144104411431447. The reversal of 144104411431434 is 434134114401441.

It is a junction number, because it is equal to n+sod(n) for n = 144104411431392 and 144104411431401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 584913244 + ... + 585159560.

It is an arithmetic number, because the mean of its divisors is an integer number (4922018891568).

Almost surely, 2144104411431434 is an apocalyptic number.

144104411431434 is an abundant number, since it is smaller than the sum of its proper divisors (170904797628918).

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

144104411431434 is a wasteful number, since it uses less digits than its factorization.

144104411431434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431391.

The product of its (nonzero) digits is 147456, while the sum is 39.

Adding to 144104411431434 its reverse (434134114401441), we get a palindrome (578238525832875).

The spelling of 144104411431434 in words is "one hundred forty-four trillion, one hundred four billion, four hundred eleven million, four hundred thirty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 17 31 34 51 62 93 102 186 527 1054 1581 3162 185021 246317 370042 492634 555063 738951 1110126 1477902 3145357 4187389 5735651 6290714 7635827 8374778 9436071 11471302 12562167 15271654 17206953 18872142 22907481 25124334 34413906 45814962 97506067 129809059 195012134 259618118 292518201 389427177 585036402 778854354 45573817657 91147635314 136721452971 273442905942 774754900169 1412788347367 1549509800338 2324264700507 2825576694734 4238365042101 4648529401014 8476730084202 24017401905239 48034803810478 72052205715717 144104411431434