Search a number
-
+
2420242064040 = 233538352659749
BaseRepresentation
bin100011001110000001101…
…010110010001010101000
322120101001211102121122110
4203032001222302022220
5304123123432022130
65051502134522320
7336566566053033
oct43160152621250
98511054377573
102420242064040
11853467605529
123310862063a0
131472c67717a8
14851d714a01a
1542e51a09ab0
hex23381ab22a8

2420242064040 has 64 divisors (see below), whose sum is σ = 7279683840000. Its totient is φ = 643712759552.

The previous prime is 2420242064011. The next prime is 2420242064059. The reversal of 2420242064040 is 404602420242.

It is a super-2 number, since 2×24202420640402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2420242063989 and 2420242064007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26283915 + ... + 26375834.

It is an arithmetic number, because the mean of its divisors is an integer number (113745060000).

Almost surely, 22420242064040 is an apocalyptic number.

2420242064040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2420242064040 is an abundant number, since it is smaller than the sum of its proper divisors (4859441775960).

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

2420242064040 is a wasteful number, since it uses less digits than its factorization.

2420242064040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52660146 (or 52660142 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 2420242064040 its reverse (404602420242), we get a palindrome (2824844484282).

The spelling of 2420242064040 in words is "two trillion, four hundred twenty billion, two hundred forty-two million, sixty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 383 766 1149 1532 1915 2298 3064 3830 4596 5745 7660 9192 11490 15320 22980 45960 52659749 105319498 157979247 210638996 263298745 315958494 421277992 526597490 631916988 789896235 1053194980 1263833976 1579792470 2106389960 3159584940 6319169880 20168683867 40337367734 60506051601 80674735468 100843419335 121012103202 161349470936 201686838670 242024206404 302530258005 403373677340 484048412808 605060516010 806747354680 1210121032020 2420242064040