Search a number
-
+
2042440004024 = 237291257660101
BaseRepresentation
bin11101101110001010111…
…010010011000110111000
321020020220011012102201222
4131232022322103012320
5231430404120112044
64202141201331212
7300363365405150
oct35561272230670
97206804172658
102042440004024
11718215154a82
1228ba09036b08
1311a7a7c9aba4
1470bd7131760
15381ddcdd8ee
hex1db8ae931b8

2042440004024 has 32 divisors (see below), whose sum is σ = 4527576367200. Its totient is φ = 845147587200.

The previous prime is 2042440004009. The next prime is 2042440004029. The reversal of 2042440004024 is 4204000442402.

It is a super-2 number, since 2×20424400040242 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2042440003984 and 2042440004002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042440004029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 628828427 + ... + 628831674.

It is an arithmetic number, because the mean of its divisors is an integer number (141486761475).

Almost surely, 22042440004024 is an apocalyptic number.

It is an amenable number.

2042440004024 is an abundant number, since it is smaller than the sum of its proper divisors (2485136363176).

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

2042440004024 is a wasteful number, since it uses less digits than its factorization.

2042440004024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257660143 (or 1257660139 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 2042440004024 its reverse (4204000442402), we get a palindrome (6246440446426).

The spelling of 2042440004024 in words is "two trillion, forty-two billion, four hundred forty million, four thousand, twenty-four".

Divisors: 1 2 4 7 8 14 28 29 56 58 116 203 232 406 812 1624 1257660101 2515320202 5030640404 8803620707 10061280808 17607241414 35214482828 36472142929 70428965656 72944285858 145888571716 255305000503 291777143432 510610001006 1021220002012 2042440004024