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4140122420 = 2257194213697
BaseRepresentation
bin1111011011000101…
…0100000100110100
3101200112101000021102
43312301110010310
531434332404140
61522453105232
7204411313520
oct36661240464
911615330242
104140122420
111834a9a285
12976628218
1350c9726a5
142b3bcad80
15193702e15
hexf6c54134

4140122420 has 96 divisors (see below), whose sum is σ = 10486936320. Its totient is φ = 1341204480.

The previous prime is 4140122369. The next prime is 4140122423. The reversal of 4140122420 is 242210414.

It is a super-2 number, since 2×41401224202 = 34281227305173312800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4140122392 and 4140122401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4140122423) 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, 1118012 + ... + 1121708.

It is an arithmetic number, because the mean of its divisors is an integer number (109238920).

Almost surely, 24140122420 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 4140122420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5243468160).

4140122420 is an abundant number, since it is smaller than the sum of its proper divisors (6346813900).

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

4140122420 is a wasteful number, since it uses less digits than its factorization.

4140122420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4153 (or 4151 counting only the distinct ones).

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

The square root of 4140122420 is about 64343.7830718711. The cubic root of 4140122420 is about 1605.7246004372.

Adding to 4140122420 its reverse (242210414), we get a palindrome (4382332834).

The spelling of 4140122420 in words is "four billion, one hundred forty million, one hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 421 532 665 842 1330 1684 2105 2660 2947 3697 4210 5894 7394 7999 8420 11788 14735 14788 15998 18485 25879 29470 31996 36970 39995 51758 55993 58940 70243 73940 79990 103516 111986 129395 140486 159980 223972 258790 279965 280972 351215 491701 517580 559930 702430 983402 1119860 1404860 1556437 1966804 2458505 3112874 4917010 6225748 7782185 9834020 10895059 15564370 21790118 29572303 31128740 43580236 54475295 59144606 108950590 118289212 147861515 207006121 217901180 295723030 414012242 591446060 828024484 1035030605 2070061210 4140122420