Search a number
-
+
4142013231420 = 2238531565411
BaseRepresentation
bin111100010001100011001…
…110100011000100111100
3112122222021000122100000000
4330101203032203010330
51020330320341401140
612450451542234300
7605151643362561
oct74214316430474
915588230570000
104142013231420
11135768853a329
1256a8bba25990
132407897b840c
141046900ac868
1572b23804a30
hex3c4633a313c

4142013231420 has 108 divisors (see below), whose sum is σ = 13046679218664. Its totient is φ = 1104536826720.

The previous prime is 4142013231361. The next prime is 4142013231439. The reversal of 4142013231420 is 241323102414.

4142013231420 is a `hidden beast` number, since 4 + 1 + 4 + 2 + 0 + 1 + 3 + 231 + 420 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-3 number, since 3×41420132314203 (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15651486 + ... + 15913925.

It is an arithmetic number, because the mean of its divisors is an integer number (120802585358).

Almost surely, 24142013231420 is an apocalyptic number.

It is an amenable number.

4142013231420 is an abundant number, since it is smaller than the sum of its proper divisors (8904665987244).

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

4142013231420 is an equidigital number, since it uses as much as digits as its factorization.

4142013231420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31565444 (or 31565421 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 4142013231420 its reverse (241323102414), we get a palindrome (4383336333834).

The spelling of 4142013231420 in words is "four trillion, one hundred forty-two billion, thirteen million, two hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 729 810 972 1215 1458 1620 2187 2430 2916 3645 4374 4860 6561 7290 8748 10935 13122 14580 21870 26244 32805 43740 65610 131220 31565411 63130822 94696233 126261644 157827055 189392466 284088699 315654110 378784932 473481165 568177398 631308220 852266097 946962330 1136354796 1420443495 1704532194 1893924660 2556798291 2840886990 3409064388 4261330485 5113596582 5681773980 7670394873 8522660970 10227193164 12783991455 15340789746 17045321940 23011184619 25567982910 30681579492 38351974365 46022369238 51135965820 69033553857 76703948730 92044738476 115055923095 138067107714 153407897460 207100661571 230111846190 276134215428 345167769285 414201323142 460223692380 690335538570 828402646284 1035503307855 1380671077140 2071006615710 4142013231420