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4434144434412 = 2237112436259783
BaseRepresentation
bin100000010000110011110…
…0110101001100011101100
3120200220022011001001111220
41000201213212221203230
51040122111433400122
613233003503543340
7635233142546130
oct100414746514354
916626264031456
104434144434412
11145a567a31a00
125b7449bbab50
132621a4321104
1411488413b3c0
157a52028325c
hex408679a98ec

4434144434412 has 72 divisors (see below), whose sum is σ = 12997051484928. Its totient is φ = 1151725824480.

The previous prime is 4434144434399. The next prime is 4434144434441. The reversal of 4434144434412 is 2144344414344.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 218119728 + ... + 218140055.

Almost surely, 24434144434412 is an apocalyptic number.

4434144434412 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4434144434412 is an abundant number, since it is smaller than the sum of its proper divisors (8562907050516).

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

4434144434412 is a wasteful number, since it uses less digits than its factorization.

4434144434412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436259819 (or 436259806 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 42.

Adding to 4434144434412 its reverse (2144344414344), we get a palindrome (6578488848756).

The spelling of 4434144434412 in words is "four trillion, four hundred thirty-four billion, one hundred forty-four million, four hundred thirty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 121 132 154 231 242 308 363 462 484 726 847 924 1452 1694 2541 3388 5082 10164 436259783 872519566 1308779349 1745039132 2617558698 3053818481 4798857613 5235117396 6107636962 9161455443 9597715226 12215273924 14396572839 18322910886 19195430452 28793145678 33592003291 36645821772 52787433743 57586291356 67184006582 100776009873 105574867486 134368013164 158362301229 201552019746 211149734972 316724602458 369512036201 403104039492 633449204916 739024072402 1108536108603 1478048144804 2217072217206 4434144434412