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4014032420 = 2251429140449
BaseRepresentation
bin1110111101000001…
…0100011000100100
3101100202002222022102
43233100110120210
531210043014140
61502150351232
7201320466266
oct35720243044
911322088272
104014032420
11177a8a8a72
1294035b518
134bc7c5818
142a1167b36
151875e7e15
hexef414624

4014032420 has 24 divisors (see below), whose sum is σ = 8435427000. Its totient is φ = 1604477952.

The previous prime is 4014032387. The next prime is 4014032437. The reversal of 4014032420 is 242304104.

It can be written as a sum of positive squares in 4 ways, for example, as 556516 + 4013475904 = 746^2 + 63352^2 .

It is a super-2 number, since 2×40140324202 = 32224912537622112800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4014032392 and 4014032401.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41645 + ... + 98804.

It is an arithmetic number, because the mean of its divisors is an integer number (351476125).

Almost surely, 24014032420 is an apocalyptic number.

It is an amenable number.

4014032420 is an abundant number, since it is smaller than the sum of its proper divisors (4421394580).

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

4014032420 is a wasteful number, since it uses less digits than its factorization.

4014032420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141887 (or 141885 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4014032420 is about 63356.3921005608. The cubic root of 4014032420 is about 1589.2551420637.

Adding to 4014032420 its reverse (242304104), we get a palindrome (4256336524).

The spelling of 4014032420 in words is "four billion, fourteen million, thirty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 1429 2858 5716 7145 14290 28580 140449 280898 561796 702245 1404490 2808980 200701621 401403242 802806484 1003508105 2007016210 4014032420