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1041444301024 = 251773113232079
BaseRepresentation
bin11110010011110101110…
…10101110100011100000
310200120011001012001112001
433021322322232203200
5114030334220113044
62114233301413344
7135145650333001
oct17117272564340
93616131161461
101041444301024
11371746180746
12149a0970a254
137729163ac9a
14385987791a8
151c154e442d4
hexf27aeae8e0

1041444301024 has 96 divisors (see below), whose sum is σ = 2220175681920. Its totient is φ = 479098109952.

The previous prime is 1041444300989. The next prime is 1041444301049. The reversal of 1041444301024 is 4201034441401.

It is a junction number, because it is equal to n+sod(n) for n = 1041444300983 and 1041444301001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4371417 + ... + 4603495.

It is an arithmetic number, because the mean of its divisors is an integer number (23126830020).

Almost surely, 21041444301024 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 1041444301024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1110087840960).

1041444301024 is an abundant number, since it is smaller than the sum of its proper divisors (1178731380896).

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

1041444301024 is a wasteful number, since it uses less digits than its factorization.

1041444301024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232292 (or 232284 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 1041444301024 its reverse (4201034441401), we get a palindrome (5242478742425).

The spelling of 1041444301024 in words is "one trillion, forty-one billion, four hundred forty-four million, three hundred one thousand, twenty-four".

Divisors: 1 2 4 8 16 17 32 34 68 73 113 136 146 226 272 292 452 544 584 904 1168 1241 1808 1921 2336 2482 3616 3842 4964 7684 8249 9928 15368 16498 19856 30736 32996 39712 61472 65992 131984 140233 232079 263968 280466 464158 560932 928316 1121864 1856632 2243728 3713264 3945343 4487456 7426528 7890686 15781372 16941767 26224927 31562744 33883534 52449854 63125488 67767068 104899708 126250976 135534136 209799416 271068272 288010039 419598832 445823759 542136544 576020078 839197664 891647518 1152040156 1783295036 1914419671 2304080312 3566590072 3828839342 4608160624 7133180144 7657678684 9216321248 14266360288 15315357368 30630714736 32545134407 61261429472 65090268814 130180537628 260361075256 520722150512 1041444301024