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1147133142 = 232232839791
BaseRepresentation
bin100010001011111…
…1101110011010110
32221221112101211200
41010113331303112
54322131230032
6305455013330
740266320331
oct10427756326
92857471750
101147133142
11539588121
1228020a246
1315387420c
14ac4cb618
156aa9647c
hex445fdcd6

1147133142 has 48 divisors (see below), whose sum is σ = 2602948608. Its totient is φ = 364422960.

The previous prime is 1147133107. The next prime is 1147133147. The reversal of 1147133142 is 2413317411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1147133147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112267 + ... + 122057.

It is an arithmetic number, because the mean of its divisors is an integer number (54228096).

Almost surely, 21147133142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1147133142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1301474304).

1147133142 is an abundant number, since it is smaller than the sum of its proper divisors (1455815466).

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

1147133142 is a wasteful number, since it uses less digits than its factorization.

1147133142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10105 (or 10102 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 1147133142 is about 33869.3540239550. The cubic root of 1147133142 is about 1046.8182266406.

It can be divided in two parts, 114713 and 3142, that added together give a triangular number (117855 = T485).

The spelling of 1147133142 in words is "one billion, one hundred forty-seven million, one hundred thirty-three thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 283 414 566 849 1698 2547 5094 6509 9791 13018 19527 19582 29373 39054 58581 58746 88119 117162 176238 225193 450386 675579 1351158 2026737 2770853 4053474 5541706 8312559 16625118 24937677 49875354 63729619 127459238 191188857 382377714 573566571 1147133142