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4020141420 = 22325223100153
BaseRepresentation
bin1110111110011110…
…0111110101101100
3101101011121100021200
43233213213311230
531213124011140
61502525325500
7201423431631
oct35747476554
911334540250
104020141420
1117832a0829
12942406890
134c0b54309
142a1cb8188
15187e03030
hexef9e7d6c

4020141420 has 72 divisors (see below), whose sum is σ = 12249234816. Its totient is φ = 1067219712.

The previous prime is 4020141409. The next prime is 4020141421. The reversal of 4020141420 is 241410204.

4020141420 is a `hidden beast` number, since 4 + 0 + 201 + 41 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4020141393 and 4020141402.

It is not an unprimeable number, because it can be changed into a prime (4020141421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9937 + ... + 90216.

Almost surely, 24020141420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4020141420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6124617408).

4020141420 is an abundant number, since it is smaller than the sum of its proper divisors (8229093396).

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

4020141420 is a wasteful number, since it uses less digits than its factorization.

4020141420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100391 (or 100386 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4020141420 is about 63404.5851654279. The cubic root of 4020141420 is about 1590.0609683516.

Adding to 4020141420 its reverse (241410204), we get a palindrome (4261551624).

The spelling of 4020141420 in words is "four billion, twenty million, one hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 223 446 669 892 1115 1338 2007 2230 2676 3345 4014 4460 6690 8028 10035 13380 20070 40140 100153 200306 300459 400612 500765 600918 901377 1001530 1201836 1502295 1802754 2003060 3004590 3605508 4506885 6009180 9013770 18027540 22334119 44668238 67002357 89336476 111670595 134004714 201007071 223341190 268009428 335011785 402014142 446682380 670023570 804028284 1005035355 1340047140 2010070710 4020141420