Search a number
-
+
1342326064140 = 2232529257150587
BaseRepresentation
bin10011100010001000110…
…111100100010000001100
311202022210000022021212100
4103202020313210100030
5133443040433023030
62504353414035100
7165660043200315
oct23421067442014
94668700267770
101342326064140
11478306083696
1219819a348a90
13997720494c9
1448d7ca4b60c
1524db4c2b360
hex13888de440c

1342326064140 has 72 divisors (see below), whose sum is σ = 4212126631440. Its totient is φ = 345610387584.

The previous prime is 1342326064129. The next prime is 1342326064181. The reversal of 1342326064140 is 414606232431.

1342326064140 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 3 + 2 + 6 + 0 + 641 + 4 + 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 = 1342326064095 and 1342326064104.

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, 128570074 + ... + 128580513.

It is an arithmetic number, because the mean of its divisors is an integer number (58501758770).

Almost surely, 21342326064140 is an apocalyptic number.

1342326064140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1342326064140 is an abundant number, since it is smaller than the sum of its proper divisors (2869800567300).

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

1342326064140 is a wasteful number, since it uses less digits than its factorization.

1342326064140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257150631 (or 257150626 counting only the distinct ones).

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

The spelling of 1342326064140 in words is "one trillion, three hundred forty-two billion, three hundred twenty-six million, sixty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 5220 257150587 514301174 771451761 1028602348 1285752935 1542903522 2314355283 2571505870 3085807044 3857258805 4628710566 5143011740 7457367023 7714517610 9257421132 11571776415 14914734046 15429035220 22372101069 23143552830 29829468092 37286835115 44744202138 46287105660 67116303207 74573670230 89488404276 111860505345 134232606414 149147340460 223721010690 268465212828 335581516035 447442021380 671163032070 1342326064140