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1442424024 = 233417235693
BaseRepresentation
bin101010111111001…
…1010010011011000
310201112011201210000
41111332122103120
510423230032044
6355044053000
750513254566
oct12576322330
93645151700
101442424024
11680235578
12343094160
1319cab3752
14d97d6a36
1586974d69
hex55f9a4d8

1442424024 has 160 divisors (see below), whose sum is σ = 4464551520. Its totient is φ = 432774144.

The previous prime is 1442424023. The next prime is 1442424029. The reversal of 1442424024 is 4204242441.

1442424024 is a `hidden beast` number, since 14 + 4 + 242 + 402 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1442424023) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 250522 + ... + 256214.

It is an arithmetic number, because the mean of its divisors is an integer number (27903447).

Almost surely, 21442424024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1442424024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2232275760).

1442424024 is an abundant number, since it is smaller than the sum of its proper divisors (3022127496).

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

1442424024 is a wasteful number, since it uses less digits than its factorization.

1442424024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5751 (or 5738 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

The square root of 1442424024 is about 37979.2578126535. The cubic root of 1442424024 is about 1129.8765166447.

Adding to 1442424024 its reverse (4204242441), we get a palindrome (5646666465).

The spelling of 1442424024 in words is "one billion, four hundred forty-two million, four hundred twenty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 23 24 27 34 36 46 51 54 68 69 72 81 92 102 108 136 138 153 162 184 204 207 216 276 306 324 391 408 414 459 552 612 621 648 782 828 918 1173 1224 1242 1377 1564 1656 1836 1863 2346 2484 2754 3128 3519 3672 3726 4692 4968 5508 5693 7038 7452 9384 10557 11016 11386 14076 14904 17079 21114 22772 28152 31671 34158 42228 45544 51237 63342 68316 84456 96781 102474 126684 130939 136632 153711 193562 204948 253368 261878 290343 307422 387124 392817 409896 461133 523756 580686 614844 774248 785634 871029 922266 1047512 1161372 1178451 1229688 1571268 1742058 1844532 2225963 2322744 2356902 2613087 3142536 3484116 3535353 3689064 4451926 4713804 5226174 6677889 6968232 7070706 7839261 8903852 9427608 10452348 10606059 13355778 14141412 15678522 17807704 20033667 20904696 21212118 26711556 28282824 31357044 40067334 42424236 53423112 60101001 62714088 80134668 84848472 120202002 160269336 180303003 240404004 360606006 480808008 721212012 1442424024