Search a number
-
+
2142444043400 = 2352171135576377
BaseRepresentation
bin11111001011010011100…
…111011011110010001000
321120211000121102222222012
4133023103213123302020
5240100211133342100
64320120351115052
7310533521616233
oct37132347336210
97524017388865
102142444043400
11756672899a01
122a7278212a88
1312705459309b
14759a292441a
153aae3575135
hex1f2d39dbc88

2142444043400 has 96 divisors (see below), whose sum is σ = 5320868360040. Its totient is φ = 799429263360.

The previous prime is 2142444043379. The next prime is 2142444043457. The reversal of 2142444043400 is 43404442412.

It can be written as a sum of positive squares in 12 ways, for example, as 150896510116 + 1991547533284 = 388454^2 + 1411222^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2403989 + ... + 3172388.

Almost surely, 22142444043400 is an apocalyptic number.

2142444043400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2142444043400 is an abundant number, since it is smaller than the sum of its proper divisors (3178424316640).

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

2142444043400 is a wasteful number, since it uses less digits than its factorization.

2142444043400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5576523 (or 5576514 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 2142444043400 its reverse (43404442412), we get a palindrome (2185848485812).

The spelling of 2142444043400 in words is "two trillion, one hundred forty-two billion, four hundred forty-four million, forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 113 136 170 200 226 340 425 452 565 680 850 904 1130 1700 1921 2260 2825 3400 3842 4520 5650 7684 9605 11300 15368 19210 22600 38420 48025 76840 96050 192100 384200 5576377 11152754 22305508 27881885 44611016 55763770 94798409 111527540 139409425 189596818 223055080 278818850 379193636 473992045 557637700 630130601 758387272 947984090 1115275400 1260261202 1895968180 2369960225 2520522404 3150653005 3791936360 4739920450 5041044808 6301306010 9479840900 10712220217 12602612020 15753265025 18959681800 21424440434 25205224040 31506530050 42848880868 53561101085 63013060100 85697761736 107122202170 126026120200 214244404340 267805505425 428488808680 535611010850 1071222021700 2142444043400