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1342436114340 = 2232523324259931
BaseRepresentation
bin10011100010001111011…
…011010111111110100100
311202100001200101102100200
4103202033123113332210
5133443302121124330
62504412344510500
7165662550461346
oct23421733277644
94670050342320
101342436114340
11478362209a72
1219820b17b430
139978ba9b679
1448d8d4d7296
1524dbe718a60
hex1388f6d7fa4

1342436114340 has 72 divisors (see below), whose sum is σ = 4249102148928. Its totient is φ = 342418486080.

The previous prime is 1342436114329. The next prime is 1342436114359. The reversal of 1342436114340 is 434116342431.

1342436114340 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 4 + 3 + 611 + 4 + 34 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1342436114295 and 1342436114304.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162125826 + ... + 162134105.

It is an arithmetic number, because the mean of its divisors is an integer number (59015307624).

Almost surely, 21342436114340 is an apocalyptic number.

1342436114340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1342436114340 is an abundant number, since it is smaller than the sum of its proper divisors (2906666034588).

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

1342436114340 is a wasteful number, since it uses less digits than its factorization.

1342436114340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324259969 (or 324259964 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 1342436114340 in words is "one trillion, three hundred forty-two billion, four hundred thirty-six million, one hundred fourteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 4140 324259931 648519862 972779793 1297039724 1621299655 1945559586 2918339379 3242599310 3891119172 4863898965 5836678758 6485198620 7457978413 9727797930 11673357516 14591696895 14915956826 19455595860 22373935239 29183393790 29831913652 37289892065 44747870478 58366787580 67121805717 74579784130 89495740956 111869676195 134243611434 149159568260 223739352390 268487222868 335609028585 447478704780 671218057170 1342436114340