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1142344140 = 2235713072081
BaseRepresentation
bin100010000010110…
…1100100111001100
32221121112002120020
41010011230213030
54314420003030
6305204222140
740210523250
oct10405544714
92847462506
101142344140
11536907073
1227a69a950
131528884a2
14aba02260
156a44c510
hex4416c9cc

1142344140 has 96 divisors (see below), whose sum is σ = 3660056064. Its totient is φ = 260782080.

The previous prime is 1142344129. The next prime is 1142344153. The reversal of 1142344140 is 414432411.

It is a self number, because there is not a number n which added to its sum of digits gives 1142344140.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 547900 + ... + 549980.

It is an arithmetic number, because the mean of its divisors is an integer number (38125584).

Almost surely, 21142344140 is an apocalyptic number.

1142344140 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 1142344140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1830028032).

1142344140 is an abundant number, since it is smaller than the sum of its proper divisors (2517711924).

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

1142344140 is a wasteful number, since it uses less digits than its factorization.

1142344140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3407 (or 3405 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 1142344140 is about 33798.5819229151. The cubic root of 1142344140 is about 1045.3594575463.

Adding to 1142344140 its reverse (414432411), we get a palindrome (1556776551).

The spelling of 1142344140 in words is "one billion, one hundred forty-two million, three hundred forty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 1307 2081 2614 3921 4162 5228 6243 6535 7842 8324 9149 10405 12486 13070 14567 15684 18298 19605 20810 24972 26140 27447 29134 31215 36596 39210 41620 43701 45745 54894 58268 62430 72835 78420 87402 91490 109788 124860 137235 145670 174804 182980 218505 274470 291340 437010 548940 874020 2719867 5439734 8159601 10879468 13599335 16319202 19039069 27198670 32638404 38078138 40798005 54397340 57117207 76156276 81596010 95195345 114234414 163192020 190390690 228468828 285586035 380781380 571172070 1142344140