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101424440000 = 265413195047
BaseRepresentation
bin101111001110101011…
…1100010001011000000
3100200210102222101120202
41132131113202023000
53130204124040000
6114332125424332
710220251341542
oct1363527421300
9320712871522
10101424440000
113a0174a7a44
12177a6a0b0a8
139744967550
144ca22d5692
15298930add5
hex179d5e22c0

101424440000 has 140 divisors (see below), whose sum is σ = 270847163664. Its totient is φ = 37448832000.

The previous prime is 101424439973. The next prime is 101424440011. The reversal of 101424440000 is 44424101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 422477 + ... + 617523.

Almost surely, 2101424440000 is an apocalyptic number.

101424440000 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 101424440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135423581832).

101424440000 is an abundant number, since it is smaller than the sum of its proper divisors (169422723664).

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

101424440000 is an equidigital number, since it uses as much as digits as its factorization.

101424440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195092 (or 195067 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 101424440000 its reverse (44424101), we get a palindrome (101468864101).

The spelling of 101424440000 in words is "one hundred one billion, four hundred twenty-four million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 125 130 160 200 208 250 260 320 325 400 416 500 520 625 650 800 832 1000 1040 1250 1300 1600 1625 2000 2080 2500 2600 3250 4000 4160 5000 5200 6500 8000 8125 10000 10400 13000 16250 20000 20800 26000 32500 40000 52000 65000 104000 130000 195047 260000 390094 520000 780188 975235 1560376 1950470 2535611 3120752 3900940 4876175 5071222 6241504 7801880 9752350 10142444 12483008 12678055 15603760 19504700 20284888 24380875 25356110 31207520 39009400 40569776 48761750 50712220 62415040 63390275 78018800 81139552 97523500 101424440 121904375 126780550 156037600 162279104 195047000 202848880 243808750 253561100 312075200 316951375 390094000 405697760 487617500 507122200 633902750 780188000 811395520 975235000 1014244400 1267805500 1560376000 1584756875 1950470000 2028488800 2535611000 3169513750 3900940000 4056977600 5071222000 6339027500 7801880000 10142444000 12678055000 20284888000 25356110000 50712220000 101424440000