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1143212040 = 233255695581
BaseRepresentation
bin100010000100100…
…0000100000001000
32221200011012002200
41010021000200020
54320130241130
6305235000200
740221066465
oct10411004010
92850135080
101143212040
1153734a143
1227aa39060
13152b00539
14abb8a66c
156a56e760
hex44240808

1143212040 has 96 divisors (see below), whose sum is σ = 3722635800. Its totient is φ = 304266240.

The previous prime is 1143212011. The next prime is 1143212069. The reversal of 1143212040 is 402123411.

It is an interprime number because it is at equal distance from previous prime (1143212011) and next prime (1143212069).

It can be written as a sum of positive squares in 4 ways, for example, as 620906724 + 522305316 = 24918^2 + 22854^2 .

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

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, 202050 + ... + 207630.

Almost surely, 21143212040 is an apocalyptic number.

1143212040 is a gapful number since it is divisible by the number (10) 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 1143212040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1861317900).

1143212040 is an abundant number, since it is smaller than the sum of its proper divisors (2579423760).

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

1143212040 is a wasteful number, since it uses less digits than its factorization.

1143212040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6167 (or 6160 counting only the distinct ones).

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

The square root of 1143212040 is about 33811.4187812342. The cubic root of 1143212040 is about 1045.6241290441.

Adding to 1143212040 its reverse (402123411), we get a palindrome (1545335451).

The spelling of 1143212040 in words is "one billion, one hundred forty-three million, two hundred twelve thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 569 1138 1707 2276 2845 3414 4552 5121 5581 5690 6828 8535 10242 11162 11380 13656 16743 17070 20484 22324 22760 25605 27905 33486 34140 40968 44648 50229 51210 55810 66972 68280 83715 100458 102420 111620 133944 167430 200916 204840 223240 251145 334860 401832 502290 669720 1004580 2009160 3175589 6351178 9526767 12702356 15877945 19053534 25404712 28580301 31755890 38107068 47633835 57160602 63511780 76214136 95267670 114321204 127023560 142901505 190535340 228642408 285803010 381070680 571606020 1143212040