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1340212332141 = 3547971120851
BaseRepresentation
bin10011100000001010111…
…000010100011001101101
311202010022200221120200000
4103200022320110121231
5133424223324112031
62503403545254513
7165553465601334
oct23401270243155
94663280846600
101340212332141
11477420a16541
121978aa494439
13994c6161207
1448c1c028d1b
1524cde3a03e6
hex1380ae1466d

1340212332141 has 48 divisors (see below), whose sum is σ = 2052403411968. Its totient is φ = 873556974000.

The previous prime is 1340212332083. The next prime is 1340212332167. The reversal of 1340212332141 is 1412332120431.

1340212332141 is a `hidden beast` number, since 1 + 3 + 402 + 1 + 233 + 21 + 4 + 1 = 666.

It is not a de Polignac number, because 1340212332141 - 215 = 1340212299373 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340212332191) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11029366 + ... + 11150216.

It is an arithmetic number, because the mean of its divisors is an integer number (42758404416).

Almost surely, 21340212332141 is an apocalyptic number.

It is an amenable number.

1340212332141 is a deficient number, since it is larger than the sum of its proper divisors (712191079827).

1340212332141 is an equidigital number, since it uses as much as digits as its factorization.

1340212332141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121884 (or 121872 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1340212332141 its reverse (1412332120431), we get a palindrome (2752544452572).

The spelling of 1340212332141 in words is "one trillion, three hundred forty billion, two hundred twelve million, three hundred thirty-two thousand, one hundred forty-one".

Divisors: 1 3 9 27 47 81 141 243 423 971 1269 2913 3807 8739 11421 26217 45637 78651 120851 136911 235953 362553 410733 1087659 1232199 3262977 3696597 5679997 9788931 11089791 17039991 29366793 51119973 117346321 153359919 352038963 460079757 1056116889 1380239271 3168350667 5515277087 9505052001 16545831261 28515156003 49637493783 148912481349 446737444047 1340212332141