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1442113332 = 22311217371579
BaseRepresentation
bin101010111110100…
…1110011100110100
310201111120221120220
41111331032130310
510423140111312
6355033254340
750510522022
oct12575163464
93644527526
101442113332
11680043100
12342b643b0
1319ca051ca
14d9755712
1586912c8c
hex55f4e734

1442113332 has 144 divisors (see below), whose sum is σ = 4024601280. Its totient is φ = 399928320.

The previous prime is 1442113307. The next prime is 1442113429. The reversal of 1442113332 is 2333112441.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 912519 + ... + 914097.

It is an arithmetic number, because the mean of its divisors is an integer number (27948620).

Almost surely, 21442113332 is an apocalyptic number.

1442113332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1442113332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2012300640).

1442113332 is an abundant number, since it is smaller than the sum of its proper divisors (2582487948).

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

1442113332 is a wasteful number, since it uses less digits than its factorization.

1442113332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662 (or 1649 counting only the distinct ones).

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

The square root of 1442113332 is about 37975.1673070706. The cubic root of 1442113332 is about 1129.7953872873.

Adding to 1442113332 its reverse (2333112441), we get a palindrome (3775225773).

The spelling of 1442113332 in words is "one billion, four hundred forty-two million, one hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 37 44 51 66 68 74 102 111 121 132 148 187 204 222 242 363 374 407 444 484 561 629 726 748 814 1122 1221 1258 1452 1579 1628 1887 2057 2244 2442 2516 3158 3774 4114 4477 4737 4884 6171 6316 6919 7548 8228 8954 9474 12342 13431 13838 17369 17908 18948 20757 24684 26843 26862 27676 34738 41514 52107 53686 53724 58423 69476 76109 80529 83028 104214 107372 116846 152218 161058 175269 191059 208428 228327 233692 295273 304436 322116 350538 382118 456654 573177 590546 642653 701076 764236 885819 913308 993191 1146354 1181092 1285306 1771638 1927959 1986382 2292708 2570612 2979573 3248003 3543276 3855918 3972764 5959146 6496006 7069183 7711836 9744009 10925101 11918292 12992012 14138366 19488018 21207549 21850202 28276732 32775303 38976036 42415098 43700404 65550606 84830196 120176111 131101212 240352222 360528333 480704444 721056666 1442113332