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2341420240131 = 337711399831277
BaseRepresentation
bin100010000100100111100…
…001011000110100000011
322021211121121021002102000
4202010213201120310003
5301330212040141011
64551344505355043
7331106401443120
oct42044741306403
98254547232360
102341420240131
11822a997595a5
12319948a98a83
1313ca4475c7bb
148147aa5d747
1540d8bbb5356
hex22127858d03

2341420240131 has 128 divisors (see below), whose sum is σ = 4056359731200. Its totient is φ = 1307263224960.

The previous prime is 2341420240091. The next prime is 2341420240141. The reversal of 2341420240131 is 1310420241432.

2341420240131 is a `hidden beast` number, since 2 + 3 + 414 + 2 + 0 + 240 + 1 + 3 + 1 = 666.

It is not a de Polignac number, because 2341420240131 - 217 = 2341420109059 is a prime.

It is a super-2 number, since 2×23414202401312 (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2341420240095 and 2341420240104.

It is not an unprimeable number, because it can be changed into a prime (2341420240141) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1833531265 + ... + 1833532541.

It is an arithmetic number, because the mean of its divisors is an integer number (31690310400).

Almost surely, 22341420240131 is an apocalyptic number.

2341420240131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2341420240131 is a deficient number, since it is larger than the sum of its proper divisors (1714939491069).

2341420240131 is a wasteful number, since it uses less digits than its factorization.

2341420240131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2486 (or 2480 counting only the distinct ones).

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

Adding to 2341420240131 its reverse (1310420241432), we get a palindrome (3651840481563).

The spelling of 2341420240131 in words is "two trillion, three hundred forty-one billion, four hundred twenty million, two hundred forty thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 27 63 71 139 189 213 417 497 639 973 983 1251 1277 1491 1917 2919 2949 3753 3831 4473 6881 8757 8847 8939 9869 11493 13419 20643 26271 26541 26817 29607 34479 61929 69083 69793 80451 88821 90667 136637 177503 185787 207249 209379 241353 266463 272001 409911 488551 532509 621747 628137 634669 816003 956459 1229733 1242521 1255291 1465653 1597527 1865241 1884411 1904007 2448009 2869377 3689199 3727563 3765873 4396959 4792581 5712021 8608131 8787037 9701227 11182689 11297619 12602713 13190877 17136063 25824393 26361111 29103681 33548067 33892857 37808139 67908589 79083333 87311043 88218991 89125661 113424417 174485449 203725767 237249999 261933129 264656973 267376983 340273251 523456347 611177301 623879627 793970919 802130949 1221398143 1570369041 1833531903 1871638881 2381912757 2406392847 3664194429 4711107123 5614916643 10992583287 12388466879 16844749929 32977749861 37165400637 86719268153 111496201911 260157804459 334488605733 780473413377 2341420240131