Search a number
-
+
10424243320000 = 26541027125373
BaseRepresentation
bin1001011110110001010101…
…0100011111010011000000
31100220112210102212212210221
42113230111110133103000
52331242322242220000
634100455315432424
72124061316146456
oct227542524372300
940815712785727
1010424243320000
11335999565a574
121204355bb5714
135a8004306c13
14280770d889d6
15131259d9261a
hex97b1551f4c0

10424243320000 has 140 divisors (see below), whose sum is σ = 25852271075136. Its totient is φ = 4169127040000.

The previous prime is 10424243319991. The next prime is 10424243320033. The reversal of 10424243320000 is 2334242401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 410827314 + ... + 410852686.

Almost surely, 210424243320000 is an apocalyptic number.

10424243320000 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 10424243320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12926135537568).

10424243320000 is an abundant number, since it is smaller than the sum of its proper divisors (15428027755136).

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

10424243320000 is an equidigital number, since it uses as much as digits as its factorization.

10424243320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35676 (or 35651 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 10424243320000 its reverse (2334242401), we get a palindrome (10426577562401).

The spelling of 10424243320000 in words is "ten trillion, four hundred twenty-four billion, two hundred forty-three million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 4000 5000 8000 10000 10271 20000 20542 25373 40000 41084 50746 51355 82168 101492 102710 126865 164336 202984 205420 253730 256775 328672 405968 410840 507460 513550 634325 657344 811936 821680 1014920 1027100 1268650 1283875 1623872 1643360 2029840 2054200 2537300 2567750 3171625 3286720 4059680 4108400 5074600 5135500 6343250 6419375 8119360 8216800 10149200 10271000 12686500 12838750 15858125 16433600 20298400 20542000 25373000 25677500 31716250 40596800 41084000 50746000 51355000 63432500 82168000 101492000 102710000 126865000 202984000 205420000 253730000 260606083 410840000 507460000 521212166 1014920000 1042424332 1303030415 2084848664 2606060830 4169697328 5212121660 6515152075 8339394656 10424243320 13030304150 16678789312 20848486640 26060608300 32575760375 41696973280 52121216600 65151520750 83393946560 104242433200 130303041500 162878801875 208484866400 260606083000 325757603750 416969732800 521212166000 651515207500 1042424332000 1303030415000 2084848664000 2606060830000 5212121660000 10424243320000