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112145514450 = 23523741492839
BaseRepresentation
bin110100001110001100…
…1001011111111010010
3101201110121120101220020
41220130121023333102
53314133222430300
6123304031324310
711050033100424
oct1503431137722
9351417511806
10112145514450
1143619245952
1219899380696
13a762b62598
1455dc11a814
152db56508a0
hex1a1c64bfd2

112145514450 has 96 divisors (see below), whose sum is σ = 292605022080. Its totient is φ = 28387468800.

The previous prime is 112145514449. The next prime is 112145514461. The reversal of 112145514450 is 54415541211.

It is a super-3 number, since 3×1121455144503 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18870 + ... + 473969.

It is an arithmetic number, because the mean of its divisors is an integer number (3047968980).

Almost surely, 2112145514450 is an apocalyptic number.

112145514450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112145514450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146302511040).

112145514450 is an abundant number, since it is smaller than the sum of its proper divisors (180459507630).

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

112145514450 is a wasteful number, since it uses less digits than its factorization.

112145514450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492932 (or 492927 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 33.

The spelling of 112145514450 in words is "one hundred twelve billion, one hundred forty-five million, five hundred fourteen thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 37 41 50 74 75 82 111 123 150 185 205 222 246 370 410 555 615 925 1025 1110 1230 1517 1850 2050 2775 3034 3075 4551 5550 6150 7585 9102 15170 22755 37925 45510 75850 113775 227550 492839 985678 1478517 2464195 2957034 4928390 7392585 12320975 14785170 18235043 20206399 24641950 36470086 36962925 40412798 54705129 60619197 73925850 91175215 101031995 109410258 121238394 182350430 202063990 273525645 303095985 455876075 505159975 547051290 606191970 747636763 911752150 1010319950 1367628225 1495273526 1515479925 2242910289 2735256450 3030959850 3738183815 4485820578 7476367630 11214551445 18690919075 22429102890 37381838150 56072757225 112145514450