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141311431311240 = 23354212797138387
BaseRepresentation
bin100000001000010110100001…
…101010100111111110001000
3200112100020111121121202212010
4200020112201222213332020
5122010221302403424430
61220313324135215520
741523262000354461
oct4010264152477610
9615306447552763
10141311431311240
1141031928aa27a3
1213a231285175a0
1360b07c2bb7818
1426c771cb3bd68
151150c7bc9bcb0
hex8085a1aa7f88

141311431311240 has 64 divisors (see below), whose sum is σ = 424941263904960. Its totient is φ = 37593539907840.

The previous prime is 141311431311233. The next prime is 141311431311257. The reversal of 141311431311240 is 42113134113141.

It is a happy number.

It is a super-3 number, since 3×1413114313112403 (a number of 43 digits) contains 333 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 = 141311431311198 and 141311431311207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1398518674 + ... + 1398619713.

It is an arithmetic number, because the mean of its divisors is an integer number (6639707248515).

Almost surely, 2141311431311240 is an apocalyptic number.

141311431311240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141311431311240 is an abundant number, since it is smaller than the sum of its proper divisors (283629832593720).

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

141311431311240 is a wasteful number, since it uses less digits than its factorization.

141311431311240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2797138822 (or 2797138818 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

Adding to 141311431311240 its reverse (42113134113141), we get a palindrome (183424565424381).

The spelling of 141311431311240 in words is "one hundred forty-one trillion, three hundred eleven billion, four hundred thirty-one million, three hundred eleven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 421 842 1263 1684 2105 2526 3368 4210 5052 6315 8420 10104 12630 16840 25260 50520 2797138387 5594276774 8391415161 11188553548 13985691935 16782830322 22377107096 27971383870 33565660644 41957075805 55942767740 67131321288 83914151610 111885535480 167828303220 335656606440 1177595260927 2355190521854 3532785782781 4710381043708 5887976304635 7065571565562 9420762087416 11775952609270 14131143131124 17663928913905 23551905218540 28262286262248 35327857827810 47103810437080 70655715655620 141311431311240