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4140122250 = 2353111134441
BaseRepresentation
bin1111011011000101…
…0100000010001010
3101200112101000001010
43312301110002022
531434332403000
61522453104350
7204411313155
oct36661240212
911615330033
104140122250
111834a9a140
129766280b6
1350c9725a4
142b3bcac9c
15193702d50
hexf6c5408a

4140122250 has 128 divisors (see below), whose sum is σ = 11375500032. Its totient is φ = 994560000.

The previous prime is 4140122227. The next prime is 4140122267. The reversal of 4140122250 is 522210414.

It is a super-2 number, since 2×41401222502 = 34281224489890125000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 930030 + ... + 934470.

It is an arithmetic number, because the mean of its divisors is an integer number (88871094).

Almost surely, 24140122250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4140122250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5687750016).

4140122250 is an abundant number, since it is smaller than the sum of its proper divisors (7235377782).

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

4140122250 is a wasteful number, since it uses less digits than its factorization.

4140122250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4585 (or 4575 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 4140122250 is about 64343.7817508421. The cubic root of 4140122250 is about 1605.7245784594.

Adding to 4140122250 its reverse (522210414), we get a palindrome (4662332664).

The spelling of 4140122250 in words is "four billion, one hundred forty million, one hundred twenty-two thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 113 125 150 165 226 250 275 330 339 375 550 565 678 750 825 1130 1243 1375 1650 1695 2486 2750 2825 3390 3729 4125 4441 5650 6215 7458 8250 8475 8882 12430 13323 14125 16950 18645 22205 26646 28250 31075 37290 42375 44410 48851 62150 66615 84750 93225 97702 111025 133230 146553 155375 186450 222050 244255 293106 310750 333075 466125 488510 501833 555125 666150 732765 932250 1003666 1110250 1221275 1465530 1505499 1665375 2442550 2509165 3010998 3330750 3663825 5018330 5520163 6106375 7327650 7527495 11040326 12212750 12545825 15054990 16560489 18319125 25091650 27600815 33120978 36638250 37637475 55201630 62729125 75274950 82802445 125458250 138004075 165604890 188187375 276008150 376374750 414012225 690020375 828024450 1380040750 2070061125 4140122250