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4120212040 = 2357442901
BaseRepresentation
bin1111010110010101…
…0111001001001000
3101122010220110100221
43311211113021020
531414233241130
61520502235424
7204050140000
oct36545271110
911563813327
104120212040
11182483031a
1296ba25b74
135087c0cb9
142b12c7000
15191abd87a
hexf5957248

4120212040 has 80 divisors (see below), whose sum is σ = 10815165180. Its totient is φ = 1412611200.

The previous prime is 4120212037. The next prime is 4120212113. The reversal of 4120212040 is 402120214.

4120212040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4095232036 + 24980004 = 63994^2 + 4998^2 .

It is a super-2 number, since 2×41202120402 = 33952294509121923200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 74590 + ... + 117490.

Almost surely, 24120212040 is an apocalyptic number.

4120212040 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 4120212040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5407582590).

4120212040 is an abundant number, since it is smaller than the sum of its proper divisors (6694953140).

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

4120212040 is an equidigital number, since it uses as much as digits as its factorization.

4120212040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42940 (or 42915 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 4120212040 is about 64188.8778527869. The cubic root of 4120212040 is about 1603.1464178533.

Adding to 4120212040 its reverse (402120214), we get a palindrome (4522332254).

The spelling of 4120212040 in words is "four billion, one hundred twenty million, two hundred twelve thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 343 392 490 686 980 1372 1715 1960 2401 2744 3430 4802 6860 9604 12005 13720 19208 24010 42901 48020 85802 96040 171604 214505 300307 343208 429010 600614 858020 1201228 1501535 1716040 2102149 2402456 3003070 4204298 6006140 8408596 10510745 12012280 14715043 16817192 21021490 29430086 42042980 58860172 73575215 84085960 103005301 117720344 147150430 206010602 294300860 412021204 515026505 588601720 824042408 1030053010 2060106020 4120212040