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4422140000 = 25541271741
BaseRepresentation
bin1000001111001010…
…01000000001100000
3102102012000222122222
410013211020001200
533024031440000
62010445450212
7214404366305
oct40745100140
912365028588
104422140000
11196a201263
12a34b70968
135562154b5
142dd43d0ac
151ad35da85
hex107948060

4422140000 has 120 divisors (see below), whose sum is σ = 10971088128. Its totient is φ = 1753920000.

The previous prime is 4422139957. The next prime is 4422140003. The reversal of 4422140000 is 412244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4422140003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2539130 + ... + 2540870.

Almost surely, 24422140000 is an apocalyptic number.

4422140000 is a gapful number since it is divisible by the number (40) 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 4422140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5485544064).

4422140000 is an abundant number, since it is smaller than the sum of its proper divisors (6548948128).

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

4422140000 is a wasteful number, since it uses less digits than its factorization.

4422140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1898 (or 1875 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 4422140000 is about 66499.1729271876. The cubic root of 4422140000 is about 1641.3863945881.

Adding to 4422140000 its reverse (412244), we get a palindrome (4422552244).

The spelling of 4422140000 in words is "four billion, four hundred twenty-two million, one hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 127 160 200 250 254 400 500 508 625 635 800 1000 1016 1250 1270 1741 2000 2032 2500 2540 3175 3482 4000 4064 5000 5080 6350 6964 8705 10000 10160 12700 13928 15875 17410 20000 20320 25400 27856 31750 34820 43525 50800 55712 63500 69640 79375 87050 101600 127000 139280 158750 174100 217625 221107 254000 278560 317500 348200 435250 442214 508000 635000 696400 870500 884428 1088125 1105535 1270000 1392800 1741000 1768856 2176250 2211070 2540000 3482000 3537712 4352500 4422140 5527675 6964000 7075424 8705000 8844280 11055350 17410000 17688560 22110700 27638375 34820000 35377120 44221400 55276750 88442800 110553500 138191875 176885600 221107000 276383750 442214000 552767500 884428000 1105535000 2211070000 4422140000