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4100332124112 = 243723860961631
BaseRepresentation
bin111011101010101110110…
…101101111011111010000
3112111222200012021200210220
4323222232311233133100
51014134440010432422
612415355551353040
7602145023664360
oct73525665573720
915458605250726
104100332124112
111340a39652504
12562808b22780
13239876372a03
141026585369a0
15719d444be5c
hex3baaed6f7d0

4100332124112 has 160 divisors (see below), whose sum is σ = 12633751388160. Its totient is φ = 1120439316480.

The previous prime is 4100332124099. The next prime is 4100332124113. The reversal of 4100332124112 is 2114212330014.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4100332124113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66499537 + ... + 66561167.

It is an arithmetic number, because the mean of its divisors is an integer number (78960946176).

Almost surely, 24100332124112 is an apocalyptic number.

4100332124112 is a gapful number since it is divisible by the number (42) 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 4100332124112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6316875694080).

4100332124112 is an abundant number, since it is smaller than the sum of its proper divisors (8533419264048).

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

4100332124112 is a wasteful number, since it uses less digits than its factorization.

4100332124112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70281 (or 70275 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 4100332124112 its reverse (2114212330014), we get a palindrome (6214544454126).

The spelling of 4100332124112 in words is "four trillion, one hundred billion, three hundred thirty-two million, one hundred twenty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 112 138 161 168 184 276 322 336 368 483 552 644 966 1104 1288 1932 2576 3864 7728 8609 17218 25827 34436 51654 60263 61631 68872 103308 120526 123262 137744 180789 184893 198007 206616 241052 246524 361578 369786 396014 413232 431417 482104 493048 594021 723156 739572 792028 862834 964208 986096 1188042 1294251 1386049 1417513 1446312 1479144 1584056 1725668 2376084 2588502 2772098 2835026 2892624 2958288 3168112 3451336 4158147 4252539 4752168 5177004 5544196 5670052 6902672 8316294 8505078 9504336 9922591 10354008 11088392 11340104 16632588 17010156 19845182 20708016 22176784 22680208 29767773 33265176 34020312 39690364 59535546 66530352 68040624 79380728 119071092 158761456 238142184 476284368 530581279 1061162558 1591743837 2122325116 3183487674 3714068953 4244650232 6366975348 7428137906 8489300464 11142206859 12203369417 12733950696 14856275812 22284413718 24406738834 25467901392 29712551624 36610108251 44568827436 48813477668 59425103248 73220216502 85423585919 89137654872 97626955336 146440433004 170847171838 178275309744 195253910672 256270757757 292880866008 341694343676 512541515514 585761732016 683388687352 1025083031028 1366777374704 2050166062056 4100332124112