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113441442400 = 25521113991621
BaseRepresentation
bin110100110100110100…
…0110000101001100000
3101211210221002100211201
41221221220300221200
53324312002124100
6124040403450544
711124120231136
oct1515150605140
9354727070751
10113441442400
1144123811790
1219b9b386a54
13a90b4a2c60
1456c229b756
152e3e2d936a
hex1a69a30a60

113441442400 has 144 divisors (see below), whose sum is σ = 325355144688. Its totient is φ = 38078208000.

The previous prime is 113441442383. The next prime is 113441442403. The reversal of 113441442400 is 4244144311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113441442403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 381411 + ... + 610210.

It is an arithmetic number, because the mean of its divisors is an integer number (2259410727).

Almost surely, 2113441442400 is an apocalyptic number.

113441442400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113441442400 is an abundant number, since it is smaller than the sum of its proper divisors (211913702288).

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

113441442400 is a wasteful number, since it uses less digits than its factorization.

113441442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991665 (or 991652 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 113441442400 its reverse (4244144311), we get a palindrome (117685586711).

The spelling of 113441442400 in words is "one hundred thirteen billion, four hundred forty-one million, four hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 25 26 32 40 44 50 52 55 65 80 88 100 104 110 130 143 160 176 200 208 220 260 275 286 325 352 400 416 440 520 550 572 650 715 800 880 1040 1100 1144 1300 1430 1760 2080 2200 2288 2600 2860 3575 4400 4576 5200 5720 7150 8800 10400 11440 14300 22880 28600 57200 114400 991621 1983242 3966484 4958105 7932968 9916210 10907831 12891073 15865936 19832420 21815662 24790525 25782146 31731872 39664840 43631324 49581050 51564292 54539155 64455365 79329680 87262648 99162100 103128584 109078310 128910730 141801803 158659360 174525296 198324200 206257168 218156620 257821460 272695775 283603606 322276825 349050592 396648400 412514336 436313240 515642920 545391550 567207212 644553650 709009015 793296800 872626480 1031285840 1090783100 1134414424 1289107300 1418018030 1745252960 2062571680 2181566200 2268828848 2578214600 2836036060 3545045075 4363132400 4537657696 5156429200 5672072120 7090090150 8726264800 10312858400 11344144240 14180180300 22688288480 28360360600 56720721200 113441442400