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2244015180016 = 242319150962723
BaseRepresentation
bin100000101001111001101…
…110100100100011110000
321221112012021110100110221
4200221321232210203300
5243231220341230031
64434515241102424
7321060534212041
oct40517156444360
97845167410427
102244015180016
11795755082215
12302aa4187a14
131337c0740a5c
147a87a4c48c8
153d58a6aba11
hex20a79ba48f0

2244015180016 has 80 divisors (see below), whose sum is σ = 4569598955520. Its totient is φ = 1065491229440.

The previous prime is 2244015179969. The next prime is 2244015180053. The reversal of 2244015180016 is 6100815104422.

It is a super-4 number, since 4×22440151800164 (a number of 51 digits) contains 4444 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 (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35745231 + ... + 35807953.

It is an arithmetic number, because the mean of its divisors is an integer number (57119986944).

Almost surely, 22244015180016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2244015180016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2284799477760).

2244015180016 is an abundant number, since it is smaller than the sum of its proper divisors (2325583775504).

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

2244015180016 is a wasteful number, since it uses less digits than its factorization.

2244015180016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63454 (or 63448 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The spelling of 2244015180016 in words is "two trillion, two hundred forty-four billion, fifteen million, one hundred eighty thousand, sixteen".

Divisors: 1 2 4 8 16 23 46 92 184 191 368 382 509 764 1018 1528 2036 3056 4072 4393 8144 8786 11707 17572 23414 35144 46828 62723 70288 93656 97219 125446 187312 194438 250892 388876 501784 777752 1003568 1442629 1555504 2236037 2885258 4472074 5770516 8944148 11541032 11980093 17888296 23082064 23960186 31926007 35776592 47920372 63852014 95840744 127704028 191681488 255408056 275542139 510816112 551084278 734298161 1102168556 1468596322 2204337112 2937192644 4408674224 5874385288 6097867337 11748770576 12195734674 24391469348 48782938696 97565877392 140250948751 280501897502 561003795004 1122007590008 2244015180016