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4120124440 = 235314181041
BaseRepresentation
bin1111010110010100…
…0001110000011000
3101122010202000012111
43311211001300120
531414222440230
61520500322104
7204046323415
oct36545016030
911563660174
104120124440
111824780523
1296b9a3334
13508790173
142b12a310c
15191aa292a
hexf5941c18

4120124440 has 64 divisors (see below), whose sum is σ = 9802840320. Its totient is φ = 1555968000.

The previous prime is 4120124417. The next prime is 4120124443. The reversal of 4120124440 is 444210214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4120124443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10320 + ... + 91360.

It is an arithmetic number, because the mean of its divisors is an integer number (153169380).

Almost surely, 24120124440 is an apocalyptic number.

4120124440 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 4120124440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4901420160).

4120124440 is an abundant number, since it is smaller than the sum of its proper divisors (5682715880).

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

4120124440 is a wasteful number, since it uses less digits than its factorization.

4120124440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81124 (or 81120 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 4120124440 is about 64188.1954879556. The cubic root of 4120124440 is about 1603.1350562518.

Adding to 4120124440 its reverse (444210214), we get a palindrome (4564334654).

The spelling of 4120124440 in words is "four billion, one hundred twenty million, one hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 41 62 82 124 155 164 205 248 310 328 410 620 820 1240 1271 1640 2542 5084 6355 10168 12710 25420 50840 81041 162082 324164 405205 648328 810410 1620820 2512271 3241640 3322681 5024542 6645362 10049084 12561355 13290724 16613405 20098168 25122710 26581448 33226810 50245420 66453620 100490840 103003111 132907240 206006222 412012444 515015555 824024888 1030031110 2060062220 4120124440