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114142622500 = 22542922332
BaseRepresentation
bin110101001001101101…
…1100011001100100100
3101220121210111000010001
41222103123203030210
53332231002410000
6124234132311044
711150363166034
oct1522333431444
9356553430101
10114142622500
1144453597775
121a156172484
13a9c083651a
14574b4618c4
152e80b4146a
hex1a936e3324

114142622500 has 135 divisors (see below), whose sum is σ = 259625276911. Its totient is φ = 43893472000.

The previous prime is 114142622483. The next prime is 114142622557. The reversal of 114142622500 is 5226241411.

The square root of 114142622500 is 337850.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 22 ways, for example, as 80142212836 + 34000409664 = 283094^2 + 184392^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 489882384 + ... + 489882616.

Almost surely, 2114142622500 is an apocalyptic number.

114142622500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114142622500 is the 337850-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114142622500

114142622500 is an abundant number, since it is smaller than the sum of its proper divisors (145482654411).

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

114142622500 is an frugal number, since it uses more digits than its factorization.

114142622500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

Adding to 114142622500 its reverse (5226241411), we get a palindrome (119368863911).

The spelling of 114142622500 in words is "one hundred fourteen billion, one hundred forty-two million, six hundred twenty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 125 145 233 250 290 466 500 580 625 725 841 932 1165 1250 1450 1682 2330 2500 2900 3364 3625 4205 4660 5825 6757 7250 8410 11650 13514 14500 16820 18125 21025 23300 27028 29125 33785 36250 42050 54289 58250 67570 72500 84100 105125 108578 116500 135140 145625 168925 195953 210250 217156 271445 291250 337850 391906 420500 525625 542890 582500 675700 783812 844625 979765 1051250 1085780 1357225 1574381 1689250 1959530 2102500 2714450 3148762 3378500 3919060 4223125 4898825 5428900 6297524 6786125 7871905 8446250 9797650 13572250 15743810 16892500 19595300 24494125 27144500 31487620 33930625 39359525 45657049 48988250 67861250 78719050 91314098 97976500 122470625 135722500 157438100 182628196 196797625 228285245 244941250 393595250 456570490 489882500 787190500 913140980 983988125 1141426225 1967976250 2282852450 3935952500 4565704900 5707131125 11414262250 22828524500 28535655625 57071311250 114142622500