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40306062105 = 345594613659
BaseRepresentation
bin100101100010011011…
…011011001100011001
310212000222222002210000
4211202123123030121
51130021322441410
630303310443213
72624551606101
oct454233331431
9125028862700
1040306062105
11161037a3031
12798a503509
133a545c36ba
141d450bc201
1510ad7e1dc0
hex9626db319

40306062105 has 80 divisors (see below), whose sum is σ = 73656475200. Its totient is φ = 21080615040.

The previous prime is 40306062067. The next prime is 40306062133. The reversal of 40306062105 is 50126060304.

40306062105 is a `hidden beast` number, since 4 + 0 + 30 + 6 + 0 + 621 + 0 + 5 = 666.

40306062105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40306062105 - 219 = 40305537817 is a prime.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11013766 + ... + 11017424.

It is an arithmetic number, because the mean of its divisors is an integer number (920705940).

Almost surely, 240306062105 is an apocalyptic number.

40306062105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40306062105 is a deficient number, since it is larger than the sum of its proper divisors (33350413095).

40306062105 is a wasteful number, since it uses less digits than its factorization.

40306062105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4196 (or 4187 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 40306062105 in words is "forty billion, three hundred six million, sixty-two thousand, one hundred five".

Divisors: 1 3 5 9 15 27 45 59 81 135 177 295 405 461 531 885 1383 1593 2305 2655 3659 4149 4779 6915 7965 10977 12447 18295 20745 23895 27199 32931 37341 54885 62235 81597 98793 135995 164655 186705 215881 244791 296379 407985 493965 647643 734373 1079405 1223955 1481895 1686799 1942929 2203119 3238215 3671865 5060397 5828787 8433995 9714645 11015595 15181191 17486361 25301985 29143935 45543573 75905955 87431805 99521141 136630719 227717865 298563423 497605705 683153595 895690269 1492817115 2687070807 4478451345 8061212421 13435354035 40306062105