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45342442305 = 33523471571979
BaseRepresentation
bin101010001110100111…
…101100001101000001
311100000222210201121000
4222032213230031001
51220330131123210
632455141522213
73163425254226
oct521647541501
9140028721530
1045342442305
1118258699016
128955113369
134377b4c324
1422a1d2d94d
1512a5a32ac0
hexa8e9ec341

45342442305 has 128 divisors (see below), whose sum is σ = 86494003200. Its totient is φ = 22483498752.

The previous prime is 45342442291. The next prime is 45342442337. The reversal of 45342442305 is 50324424354.

45342442305 is a `hidden beast` number, since 4 + 5 + 342 + 4 + 4 + 2 + 305 = 666.

It is not a de Polignac number, because 45342442305 - 25 = 45342442273 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 45342442305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22910806 + ... + 22912784.

It is an arithmetic number, because the mean of its divisors is an integer number (675734400).

Almost surely, 245342442305 is an apocalyptic number.

45342442305 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45342442305 is a deficient number, since it is larger than the sum of its proper divisors (41151560895).

45342442305 is a wasteful number, since it uses less digits than its factorization.

45342442305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2220 (or 2214 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

Adding to 45342442305 its reverse (50324424354), we get a palindrome (95666866659).

The spelling of 45342442305 in words is "forty-five billion, three hundred forty-two million, four hundred forty-two thousand, three hundred five".

Divisors: 1 3 5 9 15 23 27 45 47 69 115 135 141 157 207 235 345 423 471 621 705 785 1035 1081 1269 1413 1979 2115 2355 3105 3243 3611 4239 5405 5937 6345 7065 7379 9729 9895 10833 16215 17811 18055 21195 22137 29187 29685 32499 36895 45517 48645 53433 54165 66411 89055 93013 97497 110685 136551 145935 162495 169717 199233 227585 267165 279039 310703 332055 409653 465065 487485 509151 682755 837117 848585 932109 996165 1228959 1395195 1527453 1553515 2048265 2139299 2511351 2545755 2796327 4185585 4582359 4660545 6144795 6417897 7146169 7637265 8388981 10696495 12556755 13981635 14603041 19253691 21438507 22911795 32089485 35730845 41944905 43809123 57761073 64315521 73015205 96268455 107192535 131427369 192946563 219045615 288805365 321577605 335869943 394282107 657136845 964732815 1007609829 1679349715 1971410535 3022829487 5038049145 9068488461 15114147435 45342442305