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424420110144 = 26321722549621
BaseRepresentation
bin1100010110100010110…
…10001110111101000000
31111120111120022111110200
412023101122032331000
523423203022011034
6522550443525200
742443345261262
oct6132132167500
91446446274420
10424420110144
11153aa50a6608
126a309529800
133103a99a564
1416783519b32
15b090721a99
hex62d168ef40

424420110144 has 126 divisors (see below), whose sum is σ = 1292293758054. Its totient is φ = 133151354880.

The previous prime is 424420110143. The next prime is 424420110157. The reversal of 424420110144 is 441011024424.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 286695993600 + 137724116544 = 535440^2 + 371112^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424420110143) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1108347 + ... + 1441274.

Almost surely, 2424420110144 is an apocalyptic number.

It is an amenable number.

424420110144 is an abundant number, since it is smaller than the sum of its proper divisors (867873647910).

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

424420110144 is a wasteful number, since it uses less digits than its factorization.

424420110144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2549673 (or 2549643 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 424420110144 its reverse (441011024424), we get a palindrome (865431134568).

The spelling of 424420110144 in words is "four hundred twenty-four billion, four hundred twenty million, one hundred ten thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 289 306 408 544 576 578 612 816 867 1088 1156 1224 1632 1734 2312 2448 2601 3264 3468 4624 4896 5202 6936 9248 9792 10404 13872 18496 20808 27744 41616 55488 83232 166464 2549621 5099242 7648863 10198484 15297726 20396968 22946589 30595452 40793936 43343557 45893178 61190904 81587872 86687114 91786356 122381808 130030671 163175744 173374228 183572712 244763616 260061342 346748456 367145424 390092013 489527232 520122684 693496912 734290848 736840469 780184026 1040245368 1386993824 1468581696 1473680938 1560368052 2080490736 2210521407 2773987648 2947361876 3120736104 4160981472 4421042814 5894723752 6241472208 6631564221 8321962944 8842085628 11789447504 12482944416 13263128442 17684171256 23578895008 24965888832 26526256884 35368342512 47157790016 53052513768 70736685024 106105027536 141473370048 212210055072 424420110144