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1142342242132 = 22713233130310337
BaseRepresentation
bin10000100111111000111…
…001110100111101010100
311001012120210110112101211
4100213320321310331110
5122204004103222012
62232441302431204
7145350206563420
oct20477071647524
94035523415354
101142342242132
11400512462233
12165488132504
13839511a2c10
143d40ab7bb80
151eaace006a7
hex109f8e74f54

1142342242132 has 96 divisors (see below), whose sum is σ = 2473124838912. Its totient is φ = 449587224576.

The previous prime is 1142342242051. The next prime is 1142342242141. The reversal of 1142342242132 is 2312422432411.

It is a junction number, because it is equal to n+sod(n) for n = 1142342242094 and 1142342242103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110504868 + ... + 110515204.

It is an arithmetic number, because the mean of its divisors is an integer number (25761717072).

Almost surely, 21142342242132 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 1142342242132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236562419456).

1142342242132 is an abundant number, since it is smaller than the sum of its proper divisors (1330782596780).

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

1142342242132 is a wasteful number, since it uses less digits than its factorization.

1142342242132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11897 (or 11895 counting only the distinct ones).

The product of its digits is 18432, while the sum is 31.

Adding to 1142342242132 its reverse (2312422432411), we get a palindrome (3454764674543).

The spelling of 1142342242132 in words is "one trillion, one hundred forty-two billion, three hundred forty-two million, two hundred forty-two thousand, one hundred thirty-two".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 233 364 466 932 1303 1631 2606 3029 3262 5212 6058 6524 9121 10337 12116 16939 18242 20674 21203 33878 36484 41348 42406 67756 72359 84812 118573 134381 144718 237146 268762 289436 303599 474292 537524 607198 940667 1214396 1881334 2125193 2408521 3762668 3946787 4250386 4817042 7893574 8500772 9634084 13469111 15787148 16859647 26938222 27627509 31310773 33719294 53876444 55255018 62621546 67438588 94283777 110510036 125243092 175098443 188567554 219175411 350196886 377135108 438350822 700393772 876701644 1225689101 2451378202 3138302863 4902756404 6276605726 12553211452 21968120041 40797937219 43936240082 81595874438 87872480164 163191748876 285585560533 571171121066 1142342242132