Search a number
-
+
416238381293046 = 2313397325528549
BaseRepresentation
bin101111010100100010000110…
…0110110111101110111110110
32000120210000000110111022100220
41132221010030312331313312
5414024122201102334141
64033133134513315210
7153450142054343514
oct13651041466756766
92016700013438326
10416238381293046
11110698784a22864
123a825953865b06
1314b34159952000
1474b008bc514b4
15331c4aecbd766
hex17a910cdbddf6

416238381293046 has 64 divisors (see below), whose sum is σ = 911115348024000. Its totient is φ = 126753003906048.

The previous prime is 416238381293029. The next prime is 416238381293057. The reversal of 416238381293046 is 640392183832614.

It is a super-2 number, since 2×4162383812930462 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161485621 + ... + 164042928.

It is an arithmetic number, because the mean of its divisors is an integer number (14236177312875).

Almost surely, 2416238381293046 is an apocalyptic number.

416238381293046 is an abundant number, since it is smaller than the sum of its proper divisors (494876966730954).

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

416238381293046 is a wasteful number, since it uses less digits than its factorization.

416238381293046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325528690 (or 325528664 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 60.

The spelling of 416238381293046 in words is "four hundred sixteen trillion, two hundred thirty-eight billion, three hundred eighty-one million, two hundred ninety-three thousand, forty-six".

Divisors: 1 2 3 6 13 26 39 78 97 169 194 291 338 507 582 1014 1261 2197 2522 3783 4394 6591 7566 13182 16393 32786 49179 98358 213109 426218 639327 1278654 325528549 651057098 976585647 1953171294 4231871137 8463742274 12695613411 25391226822 31576269253 55014324781 63152538506 94728807759 110028649562 165042974343 189457615518 330085948686 410491500289 715186222153 820983000578 1231474500867 1430372444306 2145558666459 2462949001734 4291117332918 5336389503757 10672779007514 16009168511271 32018337022542 69373063548841 138746127097682 208119190646523 416238381293046