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113409679440 = 24358317332909
BaseRepresentation
bin110100110011110111…
…1100110000001010000
3101211201201022122020210
41221213233212001100
53324230334220230
6124033311004120
711123253240561
oct1514757460120
9354651278223
10113409679440
1144107897802
1219b90809640
13a904a316c5
1456bbd90168
152e3b612eb0
hex1a67be6050

113409679440 has 160 divisors (see below), whose sum is σ = 357873344640. Its totient is φ = 29704603648.

The previous prime is 113409679433. The next prime is 113409679531. The reversal of 113409679440 is 44976904311.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 113409679440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3429706 + ... + 3462614.

It is an arithmetic number, because the mean of its divisors is an integer number (2236708404).

Almost surely, 2113409679440 is an apocalyptic number.

113409679440 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 113409679440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178936672320).

113409679440 is an abundant number, since it is smaller than the sum of its proper divisors (244463665200).

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

113409679440 is a wasteful number, since it uses less digits than its factorization.

113409679440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33181 (or 33175 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 113409679440 in words is "one hundred thirteen billion, four hundred nine million, six hundred seventy-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 83 120 166 173 240 249 332 346 415 498 519 664 692 830 865 996 1038 1245 1328 1384 1660 1730 1992 2076 2490 2595 2768 3320 3460 3984 4152 4980 5190 6640 6920 8304 9960 10380 13840 14359 19920 20760 28718 32909 41520 43077 57436 65818 71795 86154 98727 114872 131636 143590 164545 172308 197454 215385 229744 263272 287180 329090 344616 394908 430770 493635 526544 574360 658180 689232 789816 861540 987270 1148720 1316360 1579632 1723080 1974540 2632720 2731447 3446160 3949080 5462894 5693257 7898160 8194341 10925788 11386514 13657235 16388682 17079771 21851576 22773028 27314470 28466285 32777364 34159542 40971705 43703152 45546056 54628940 56932570 65554728 68319084 81943410 85398855 91092112 109257880 113865140 131109456 136638168 163886820 170797710 218515760 227730280 273276336 327773640 341595420 455460560 472540331 655547280 683190840 945080662 1366381680 1417620993 1890161324 2362701655 2835241986 3780322648 4725403310 5670483972 7088104965 7560645296 9450806620 11340967944 14176209930 18901613240 22681935888 28352419860 37803226480 56704839720 113409679440