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3140444242131 = 37317421426427
BaseRepresentation
bin101101101100110001000…
…100000100000011010011
3102010020000221212222211120
4231230301010010003103
5402423112211222011
610402411123013323
7442614064422000
oct55546104040323
912106027788746
103140444242131
1110009449a3579
1242878050a243
1319a1b1453b61
14abdd95248a7
1556a54467a06
hex2db311040d3

3140444242131 has 64 divisors (see below), whose sum is σ = 5182635340800. Its totient is φ = 1684962639360.

The previous prime is 3140444242043. The next prime is 3140444242151. The reversal of 3140444242131 is 1312424440413.

It is a happy number.

It is not a de Polignac number, because 3140444242131 - 210 = 3140444241107 is a prime.

It is a super-2 number, since 2×31404442421312 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3140444242092 and 3140444242101.

It is not an unprimeable number, because it can be changed into a prime (3140444242151) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 7151340 + ... + 7577766.

It is an arithmetic number, because the mean of its divisors is an integer number (80978677200).

Almost surely, 23140444242131 is an apocalyptic number.

3140444242131 is a deficient number, since it is larger than the sum of its proper divisors (2042191098669).

3140444242131 is a wasteful number, since it uses less digits than its factorization.

3140444242131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426889 (or 426875 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 3140444242131 its reverse (1312424440413), we get a palindrome (4452868682544).

The spelling of 3140444242131 in words is "three trillion, one hundred forty billion, four hundred forty-four million, two hundred forty-two thousand, one hundred thirty-one".

Divisors: 1 3 7 17 21 49 51 119 147 343 357 421 833 1029 1263 2499 2947 5831 7157 8841 17493 20629 21471 50099 61887 144403 150297 350693 426427 433209 1052079 1279281 2454851 2984989 7249259 7364553 8954967 20894923 21747777 50744813 62684769 146264461 152234439 179525767 355213691 438793383 538577301 1065641073 1256680369 2486495837 3051938039 3770041107 7459487511 8796762583 9155814117 21363566273 26390287749 61577338081 64090698819 149544963911 184732014243 448634891733 1046814747377 3140444242131