Search a number
-
+
4114334023300 = 22521091087347251
BaseRepresentation
bin111011110111110001011…
…010101111111010000100
3112120022211000022212120201
4323313301122233322010
51014402124002221200
612430033212540244
7603152014113034
oct73676132577204
915508730285521
104114334023300
111346974328616
12565476181684
1323ac98198167
141031c5d858c4
1572053807c6a
hex3bdf16afe84

4114334023300 has 72 divisors (see below), whose sum is σ = 9018328901120. Its totient is φ = 1629130320000.

The previous prime is 4114334023273. The next prime is 4114334023309. The reversal of 4114334023300 is 33204334114.

It is not an unprimeable number, because it can be changed into a prime (4114334023309) 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, 11674675 + ... + 12021925.

Almost surely, 24114334023300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4114334023300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4509164450560).

4114334023300 is an abundant number, since it is smaller than the sum of its proper divisors (4903994877820).

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

4114334023300 is a wasteful number, since it uses less digits than its factorization.

4114334023300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348461 (or 348454 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 4114334023300 its reverse (33204334114), we get a palindrome (4147538357414).

The spelling of 4114334023300 in words is "four trillion, one hundred fourteen billion, three hundred thirty-four million, twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 109 218 436 545 1087 1090 2174 2180 2725 4348 5435 5450 10870 10900 21740 27175 54350 108700 118483 236966 347251 473932 592415 694502 1184830 1389004 1736255 2369660 2962075 3472510 5924150 6945020 8681275 11848300 17362550 34725100 37850359 75700718 151401436 189251795 377461837 378503590 754923674 757007180 946258975 1509847348 1887309185 1892517950 3774618370 3785035900 7549236740 9436545925 18873091850 37746183700 41143340233 82286680466 164573360932 205716701165 411433402330 822866804660 1028583505825 2057167011650 4114334023300