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114233015000 = 235413310399
BaseRepresentation
bin110101001100011010…
…0010111101011011000
3101220212002120102022102
41222120310113223120
53332422122440000
6124251121542532
711152541415026
oct1523064275330
9356762512272
10114233015000
114449a616a15
121a1804a4a48
13aa06495000
145759471716
152e88a493d5
hex1a98d17ad8

114233015000 has 160 divisors (see below), whose sum is σ = 289969680000. Its totient is φ = 42174288000.

The previous prime is 114233014999. The next prime is 114233015011. The reversal of 114233015000 is 510332411.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10979801 + ... + 10990199.

It is an arithmetic number, because the mean of its divisors is an integer number (1812310500).

Almost surely, 2114233015000 is an apocalyptic number.

114233015000 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 114233015000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144984840000).

114233015000 is an abundant number, since it is smaller than the sum of its proper divisors (175736665000).

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

114233015000 is an equidigital number, since it uses as much as digits as its factorization.

114233015000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10464 (or 10419 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 114233015000 its reverse (510332411), we get a palindrome (114743347411).

The spelling of 114233015000 in words is "one hundred fourteen billion, two hundred thirty-three million, fifteen thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 169 200 250 260 325 338 500 520 625 650 676 845 1000 1250 1300 1352 1625 1690 2197 2500 2600 3250 3380 4225 4394 5000 6500 6760 8125 8450 8788 10399 10985 13000 16250 16900 17576 20798 21125 21970 32500 33800 41596 42250 43940 51995 54925 65000 83192 84500 87880 103990 105625 109850 135187 169000 207980 211250 219700 259975 270374 274625 415960 422500 439400 519950 540748 549250 675935 845000 1039900 1081496 1098500 1299875 1351870 1373125 1757431 2079800 2197000 2599750 2703740 2746250 3379675 3514862 5199500 5407480 5492500 6499375 6759350 7029724 8787155 10399000 10985000 12998750 13518700 14059448 16898375 17574310 22846603 25997500 27037400 33796750 35148620 43935775 45693206 51995000 67593500 70297240 84491875 87871550 91386412 114233015 135187000 168983750 175743100 182772824 219678875 228466030 337967500 351486200 439357750 456932060 571165075 675935000 878715500 913864120 1098394375 1142330150 1757431000 2196788750 2284660300 2855825375 4393577500 4569320600 5711650750 8787155000 11423301500 14279126875 22846603000 28558253750 57116507500 114233015000