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1142831616 = 2933124001
BaseRepresentation
bin100010000011110…
…0011101000000000
32221122102212020220
41010013203220000
54320031102431
6305222503040
740214623413
oct10407435000
92848385226
101142831616
1153710a343
1227a894a80
131529c9334
14abacbb7a
156a4e6b96
hex441e3a00

1142831616 has 80 divisors (see below), whose sum is σ = 3142917888. Its totient is φ = 368640000.

The previous prime is 1142831611. The next prime is 1142831621. The reversal of 1142831616 is 6161382411.

It is an interprime number because it is at equal distance from previous prime (1142831611) and next prime (1142831621).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142831611) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35616 + ... + 59616.

Almost surely, 21142831616 is an apocalyptic number.

1142831616 is a gapful number since it is divisible by the number (16) 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 1142831616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571458944).

1142831616 is an abundant number, since it is smaller than the sum of its proper divisors (2000086272).

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

1142831616 is an equidigital number, since it uses as much as digits as its factorization.

1142831616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24053 (or 24037 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 1142831616 is about 33805.7926397237. The cubic root of 1142831616 is about 1045.5081328770.

The spelling of 1142831616 in words is "one billion, one hundred forty-two million, eight hundred thirty-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 512 744 768 992 1488 1536 1984 2976 3968 5952 7936 11904 15872 23808 24001 47616 48002 72003 96004 144006 192008 288012 384016 576024 744031 768032 1152048 1488062 1536064 2232093 2304096 2976124 3072128 4464186 4608192 5952248 6144256 8928372 9216384 11904496 12288512 17856744 18432768 23808992 35713488 36865536 47617984 71426976 95235968 142853952 190471936 285707904 380943872 571415808 1142831616