Search a number
-
+
8400042375345 = 3255631498322129
BaseRepresentation
bin111101000111100100110…
…0010101011100010110001
31002202000222101200122220100
41322033021202223202301
52100111241322002340
625510532020303013
71524611611050435
oct172171142534261
932660871618810
108400042375345
11274948aa28885
12b37b99241a69
1348c174c4b26a
142107c83129c5
15e878742e830
hex7a3c98ab8b1

8400042375345 has 48 divisors (see below), whose sum is σ = 14587567712640. Its totient is φ = 4471564635648.

The previous prime is 8400042375293. The next prime is 8400042375367. The reversal of 8400042375345 is 5435732400048.

8400042375345 is a `hidden beast` number, since 8 + 40 + 0 + 0 + 42 + 37 + 534 + 5 = 666.

It is not a de Polignac number, because 8400042375345 - 216 = 8400042309809 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 8400042375345.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 379583241 + ... + 379605369.

It is an arithmetic number, because the mean of its divisors is an integer number (303907660680).

Almost surely, 28400042375345 is an apocalyptic number.

It is an amenable number.

8400042375345 is a deficient number, since it is larger than the sum of its proper divisors (6187525337295).

8400042375345 is a wasteful number, since it uses less digits than its factorization.

8400042375345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37686 (or 37683 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 8400042375345 in words is "eight trillion, four hundred billion, forty-two million, three hundred seventy-five thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 45 563 1689 2815 5067 8445 14983 22129 25335 44949 66387 74915 110645 134847 199161 224745 331935 674235 995805 8435429 12458627 25306287 37375881 42177145 62293135 75918861 112127643 126531435 186879405 331558807 379594305 560638215 994676421 1657794035 2984029263 4973382105 14920146315 186667608341 560002825023 933338041705 1680008475069 2800014125115 8400042375345