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1332332144 = 2411131573709
BaseRepresentation
bin100111101101001…
…1100011001110000
310102212000111002222
41033122130121300
510212034112034
6340112300212
745005431163
oct11732343160
93385014088
101332332144
11624080950
12312241668
13183048620
14c8d39ada
157be7a12e
hex4f69c670

1332332144 has 80 divisors (see below), whose sum is σ = 3052825440. Its totient is φ = 555310080.

The previous prime is 1332332137. The next prime is 1332332147. The reversal of 1332332144 is 4412332331.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1332332147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 357362 + ... + 361070.

It is an arithmetic number, because the mean of its divisors is an integer number (38160318).

Almost surely, 21332332144 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 1332332144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1526412720).

1332332144 is an abundant number, since it is smaller than the sum of its proper divisors (1720493296).

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

1332332144 is a wasteful number, since it uses less digits than its factorization.

1332332144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3898 (or 3892 counting only the distinct ones).

The product of its digits is 5184, while the sum is 26.

The square root of 1332332144 is about 36501.1252429292. The cubic root of 1332332144 is about 1100.3668594538.

Adding to 1332332144 its reverse (4412332331), we get a palindrome (5744664475).

The spelling of 1332332144 in words is "one billion, three hundred thirty-two million, three hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 157 176 208 286 314 572 628 1144 1256 1727 2041 2288 2512 3454 3709 4082 6908 7418 8164 13816 14836 16328 22451 27632 29672 32656 40799 44902 48217 59344 81598 89804 96434 163196 179608 192868 326392 359216 385736 530387 582313 652784 771472 1060774 1164626 2121548 2329252 4243096 4658504 6405443 7570069 8486192 9317008 12810886 15140138 25621772 30280276 51243544 60560552 83270759 102487088 121121104 166541518 333083036 666166072 1332332144