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1041232055544 = 233231503927439
BaseRepresentation
bin11110010011011100100…
…01000100110011111000
310200112121020210212110100
433021232101010303320
5114024420401234134
62114200240315400
7135140462304342
oct17115621046370
93615536725410
101041232055544
1137164739455a
1214996a612b60
1377259687045
14385784ca292
151c1414bb999
hexf26e444cf8

1041232055544 has 96 divisors (see below), whose sum is σ = 2916761702400. Its totient is φ = 335213190720.

The previous prime is 1041232055509. The next prime is 1041232055557. The reversal of 1041232055544 is 4455502321401.

1041232055544 is a `hidden beast` number, since 1 + 0 + 41 + 2 + 3 + 20 + 55 + 544 = 666.

1041232055544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10412320555442 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1041232055499 and 1041232055508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 658977 + ... + 1586415.

It is an arithmetic number, because the mean of its divisors is an integer number (30382934400).

Almost surely, 21041232055544 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 1041232055544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458380851200).

1041232055544 is an abundant number, since it is smaller than the sum of its proper divisors (1875529646856).

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

1041232055544 is a wasteful number, since it uses less digits than its factorization.

1041232055544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927985 (or 927978 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 1041232055544 its reverse (4455502321401), we get a palindrome (5496734376945).

The spelling of 1041232055544 in words is "one trillion, forty-one billion, two hundred thirty-two million, fifty-five thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 503 558 744 1006 1116 1509 2012 2232 3018 4024 4527 6036 9054 12072 15593 18108 31186 36216 46779 62372 93558 124744 140337 187116 280674 374232 561348 927439 1122696 1854878 2782317 3709756 5564634 7419512 8346951 11129268 16693902 22258536 28750609 33387804 57501218 66775608 86251827 115002436 172503654 230004872 258755481 345007308 466501817 517510962 690014616 933003634 1035021924 1399505451 1866007268 2070043848 2799010902 3732014536 4198516353 5598021804 8397032706 11196043608 14461556327 16794065412 28923112654 33588130824 43384668981 57846225308 86769337962 115692450616 130154006943 173538675924 260308013886 347077351848 520616027772 1041232055544