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4221124140 = 22351717412377
BaseRepresentation
bin1111101110011001…
…0011111000101100
3101220011210022202010
43323212103320230
532121101433030
61534505201220
7206413651242
oct37346237054
911804708663
104221124140
111876795052
12999790210
135236939bc
142c0874792
1519a8a36b0
hexfb993e2c

4221124140 has 96 divisors (see below), whose sum is σ = 12526847424. Its totient is φ = 1058365440.

The previous prime is 4221124069. The next prime is 4221124183. The reversal of 4221124140 is 414211224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1774632 + ... + 1777008.

It is an arithmetic number, because the mean of its divisors is an integer number (130487994).

Almost surely, 24221124140 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 4221124140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6263423712).

4221124140 is an abundant number, since it is smaller than the sum of its proper divisors (8305723284).

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

4221124140 is a wasteful number, since it uses less digits than its factorization.

4221124140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4147 (or 4145 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 4221124140 is about 64970.1788515316. The cubic root of 4221124140 is about 1616.1290676207.

Adding to 4221124140 its reverse (414211224), we get a palindrome (4635335364).

The spelling of 4221124140 in words is "four billion, two hundred twenty-one million, one hundred twenty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 1741 2377 3482 4754 5223 6964 7131 8705 9508 10446 11885 14262 17410 20892 23770 26115 28524 29597 34820 35655 40409 47540 52230 59194 71310 80818 88791 104460 118388 121227 142620 147985 161636 177582 202045 242454 295970 355164 404090 443955 484908 591940 606135 808180 887910 1212270 1775820 2424540 4138357 8276714 12415071 16553428 20691785 24830142 41383570 49660284 62075355 70352069 82767140 124150710 140704138 211056207 248301420 281408276 351760345 422112414 703520690 844224828 1055281035 1407041380 2110562070 4221124140