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1142653356 = 2232136533739
BaseRepresentation
bin100010000011011…
…1000000110101100
32221122002210201200
41010012320012230
54320004401411
6305215005500
740213251615
oct10406700654
92848083650
101142653356
11536aa8419
1227a809890
13152966160
14aba82c0c
156a4ade56
hex441b81ac

1142653356 has 72 divisors (see below), whose sum is σ = 3116153040. Its totient is φ = 350953344.

The previous prime is 1142653301. The next prime is 1142653367. The reversal of 1142653356 is 6533562411.

1142653356 is a `hidden beast` number, since 114 + 2 + 6 + 533 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1142653356.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 303735 + ... + 307473.

Almost surely, 21142653356 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 1142653356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558076520).

1142653356 is an abundant number, since it is smaller than the sum of its proper divisors (1973499684).

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

1142653356 is a wasteful number, since it uses less digits than its factorization.

1142653356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4415 (or 4410 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 1142653356 is about 33803.1560065033. The cubic root of 1142653356 is about 1045.4537702546.

The spelling of 1142653356 in words is "one billion, one hundred forty-two million, six hundred fifty-three thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 653 1306 1959 2612 3739 3918 5877 7478 7836 8489 11217 11754 14956 16978 22434 23508 25467 33651 33956 44868 48607 50934 67302 76401 97214 101868 134604 145821 152802 194428 291642 305604 437463 583284 874926 1749852 2441567 4883134 7324701 9766268 14649402 21974103 29298804 31740371 43948206 63480742 87896412 95221113 126961484 190442226 285663339 380884452 571326678 1142653356