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11444202034044 = 22313151917352963
BaseRepresentation
bin1010011010001000111110…
…0110001101001101111100
31111112001111010011000212020
42212202033212031031330
53000000211210042134
640201221022440140
72260546665160263
oct246421746151574
944461433130766
1011444202034044
11371250577575a
121349b68133050
13650250553410
142b7c8c00b5da
1514ca5391bb49
hexa688f98d37c

11444202034044 has 96 divisors (see below), whose sum is σ = 28951373197824. Its totient is φ = 3497525740800.

The previous prime is 11444202034009. The next prime is 11444202034051. The reversal of 11444202034044 is 44043020244411.

It is a junction number, because it is equal to n+sod(n) for n = 11444202033996 and 11444202034014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216052707 + ... + 216105669.

It is an arithmetic number, because the mean of its divisors is an integer number (301576804144).

Almost surely, 211444202034044 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 11444202034044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14475686598912).

11444202034044 is an abundant number, since it is smaller than the sum of its proper divisors (17507171163780).

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

11444202034044 is a wasteful number, since it uses less digits than its factorization.

11444202034044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62307 (or 62305 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 11444202034044 its reverse (44043020244411), we get a palindrome (55487222278455).

The spelling of 11444202034044 in words is "eleven trillion, four hundred forty-four billion, two hundred two million, thirty-four thousand, forty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 151 156 302 453 604 906 1812 1963 3926 5889 7852 9173 11778 18346 23556 27519 36692 52963 55038 105926 110076 119249 158889 211852 238498 317778 357747 476996 635556 688519 715494 1377038 1385123 1430988 2065557 2754076 2770246 4131114 4155369 5540492 7997413 8262228 8310738 15994826 16621476 18006599 23992239 31989652 36013198 47984478 54019797 72026396 95968956 103966369 108039594 207932738 216079188 311899107 415865476 485829599 623798214 971659198 1247596428 1457488797 1943318396 2914977594 5829955188 6315784787 12631569574 18947354361 25263139148 37894708722 73360269449 75789417444 146720538898 220080808347 293441077796 440161616694 880323233388 953683502837 1907367005674 2861050508511 3814734011348 5722101017022 11444202034044