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1142311016 = 237112397759
BaseRepresentation
bin100010000010110…
…0100100001101000
32221121110102010102
41010011210201220
54314412423031
6305203404532
740210324550
oct10405444150
92847412112
101142311016
115368941a0
1227a683748
131528763a2
14ab9d4160
156a4427cb
hex44164868

1142311016 has 64 divisors (see below), whose sum is σ = 2681856000. Its totient is φ = 443136960.

The previous prime is 1142311003. The next prime is 1142311019. The reversal of 1142311016 is 6101132411.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1142311019) 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, 143345 + ... + 151103.

It is an arithmetic number, because the mean of its divisors is an integer number (41904000).

Almost surely, 21142311016 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 1142311016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340928000).

1142311016 is an abundant number, since it is smaller than the sum of its proper divisors (1539544984).

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

1142311016 is a wasteful number, since it uses less digits than its factorization.

1142311016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8022 (or 8018 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 1142311016 is about 33798.0918988040. The cubic root of 1142311016 is about 1045.3493535213.

Adding to 1142311016 its reverse (6101132411), we get a palindrome (7243443427).

The spelling of 1142311016 in words is "one billion, one hundred forty-two million, three hundred eleven thousand, sixteen".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 239 308 478 616 956 1673 1912 2629 3346 5258 6692 7759 10516 13384 15518 18403 21032 31036 36806 54313 62072 73612 85349 108626 147224 170698 217252 341396 434504 597443 682792 1194886 1854401 2389772 3708802 4779544 7417604 12980807 14835208 20398411 25961614 40796822 51923228 81593644 103846456 142788877 163187288 285577754 571155508 1142311016