Search a number
-
+
112047440000 = 27548915737
BaseRepresentation
bin110100001011010001…
…1000100000010000000
3101201012210000201001012
41220112203010002000
53313433121040000
6123250205300052
711044432345166
oct1502643040200
9351183021035
10112047440000
114357894a091
1219870564628
13a748744372
1455cd0ab236
152dabc2b735
hex1a168c4080

112047440000 has 160 divisors (see below), whose sum is σ = 282087125100. Its totient is φ = 44312576000.

The previous prime is 112047439997. The next prime is 112047440023. The reversal of 112047440000 is 44740211.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 4825247296 + 107222192704 = 69464^2 + 327448^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7112132 + ... + 7127868.

Almost surely, 2112047440000 is an apocalyptic number.

112047440000 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 112047440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141043562550).

112047440000 is an abundant number, since it is smaller than the sum of its proper divisors (170039685100).

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

112047440000 is an frugal number, since it uses more digits than its factorization.

112047440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15860 (or 15833 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The spelling of 112047440000 in words is "one hundred twelve billion, forty-seven million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 89 100 125 128 160 178 200 250 320 356 400 445 500 625 640 712 800 890 1000 1250 1424 1600 1780 2000 2225 2500 2848 3200 3560 4000 4450 5000 5696 7120 8000 8900 10000 11125 11392 14240 15737 16000 17800 20000 22250 28480 31474 35600 40000 44500 55625 56960 62948 71200 78685 80000 89000 111250 125896 142400 157370 178000 222500 251792 284800 314740 356000 393425 445000 503584 629480 712000 786850 890000 1007168 1258960 1400593 1424000 1573700 1780000 1967125 2014336 2517920 2801186 3147400 3560000 3934250 5035840 5602372 6294800 7002965 7120000 7868500 9835625 10071680 11204744 12589600 14005930 15737000 19671250 22409488 25179200 28011860 31474000 35014825 39342500 44818976 50358400 56023720 62948000 70029650 78685000 89637952 112047440 125896000 140059300 157370000 175074125 179275904 224094880 251792000 280118600 314740000 350148250 448189760 560237200 629480000 700296500 875370625 896379520 1120474400 1258960000 1400593000 1750741250 2240948800 2801186000 3501482500 4481897600 5602372000 7002965000 11204744000 14005930000 22409488000 28011860000 56023720000 112047440000