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1142120034 = 233116732857
BaseRepresentation
bin100010000010011…
…0101111001100010
32221121002201011000
41010010311321202
54314340320114
6305155332430
740205601006
oct10404657142
92847081130
101142120034
11536773760
1227a5b1116
1315280a493
14ab984706
156a405e09
hex44135e62

1142120034 has 64 divisors (see below), whose sum is σ = 2773860480. Its totient is φ = 345461760.

The previous prime is 1142120009. The next prime is 1142120051. The reversal of 1142120034 is 4300212411.

1142120034 is a `hidden beast` number, since 11 + 421 + 200 + 34 = 666.

It is a super-2 number, since 2×11421200342 = 2608876344128322312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1142119989 and 1142120016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 398334 + ... + 401190.

It is an arithmetic number, because the mean of its divisors is an integer number (43341570).

Almost surely, 21142120034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1142120034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1386930240).

1142120034 is an abundant number, since it is smaller than the sum of its proper divisors (1631740446).

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

1142120034 is a wasteful number, since it uses less digits than its factorization.

1142120034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3552 (or 3546 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1142120034 is about 33795.2664436900. The cubic root of 1142120034 is about 1045.2910932534.

Adding to 1142120034 its reverse (4300212411), we get a palindrome (5442332445).

The spelling of 1142120034 in words is "one billion, one hundred forty-two million, one hundred twenty thousand, thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 673 1346 2019 2857 4038 5714 6057 7403 8571 12114 14806 17142 18171 22209 25713 31427 36342 44418 51426 62854 66627 77139 94281 133254 154278 188562 199881 282843 399762 565686 848529 1697058 1922761 3845522 5768283 11536566 17304849 21150371 34609698 42300742 51914547 63451113 103829094 126902226 190353339 380706678 571060017 1142120034