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1142103330340 = 225729660742577
BaseRepresentation
bin10000100111101010101…
…010011100111000100100
311001011222010220120000221
4100213222222130320210
5122203011423032330
62232401450014124
7145341246062530
oct20475252347044
94034863816027
101142103330340
114003aa612275
12165420117344
13839138434ab
143d3c714abc0
151ea96e5bb7a
hex109eaa9ce24

1142103330340 has 96 divisors (see below), whose sum is σ = 2836062673920. Its totient is φ = 378009483264.

The previous prime is 1142103330337. The next prime is 1142103330359. The reversal of 1142103330340 is 430333012411.

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 31 ways as a sum of consecutive naturals, for example, 26803132 + ... + 26845708.

It is an arithmetic number, because the mean of its divisors is an integer number (29542319520).

Almost surely, 21142103330340 is an apocalyptic number.

1142103330340 is a gapful number since it is divisible by the number (10) 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 1142103330340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418031336960).

1142103330340 is an abundant number, since it is smaller than the sum of its proper divisors (1693959343580).

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

1142103330340 is a wasteful number, since it uses less digits than its factorization.

1142103330340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49229 (or 49227 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 1142103330340 its reverse (430333012411), we get a palindrome (1572436342751).

The spelling of 1142103330340 in words is "one trillion, one hundred forty-two billion, one hundred three million, three hundred thirty thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 406 580 812 1015 2030 4060 6607 13214 26428 33035 42577 46249 66070 85154 92498 132140 170308 184996 191603 212885 231245 298039 383206 425770 462490 596078 766412 851540 924980 958015 1192156 1234733 1341221 1490195 1916030 2469466 2682442 2980390 3832060 4938932 5364884 5960780 6173665 6706105 8643131 12347330 13412210 17286262 24694660 26824420 34572524 43215655 86431310 172862620 281306239 562612478 1125224956 1406531195 1969143673 2813062390 3938287346 5626124780 7876574692 8157880931 9845718365 16315761862 19691436730 32631523724 39382873460 40789404655 57105166517 81578809310 114210333034 163157618620 228420666068 285525832585 571051665170 1142103330340