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1304240442024 = 2331379713074013
BaseRepresentation
bin10010111110101010110…
…010011100101010101000
311121200110202111020010110
4102332222302130222220
5132332041023121044
62435054303014320
7163141202561202
oct22765262345250
94550422436113
101304240442024
11463141801033
1219092b59a3a0
1395cb2792c30
14471a880b772
1523dd63426b9
hex12faac9caa8

1304240442024 has 128 divisors (see below), whose sum is σ = 3519389139840. Its totient is φ = 400394775552.

The previous prime is 1304240441969. The next prime is 1304240442047. The reversal of 1304240442024 is 4202440424031.

It is a super-2 number, since 2×13042404420242 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1304240441982 and 1304240442000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 325001842 + ... + 325005854.

It is an arithmetic number, because the mean of its divisors is an integer number (27495227655).

Almost surely, 21304240442024 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 1304240442024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1759694569920).

1304240442024 is an abundant number, since it is smaller than the sum of its proper divisors (2215148697816).

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

1304240442024 is a wasteful number, since it uses less digits than its factorization.

1304240442024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6139 (or 6135 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 1304240442024 its reverse (4202440424031), we get a palindrome (5506680866055).

The spelling of 1304240442024 in words is "one trillion, three hundred four billion, two hundred forty million, four hundred forty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 797 1307 1594 2391 2614 3188 3921 4013 4782 5228 6376 7842 8026 9564 10361 10456 12039 15684 16052 16991 19128 20722 24078 31083 31368 32104 33982 41444 48156 50973 52169 62166 67964 82888 96312 101946 104338 124332 135928 156507 203892 208676 248664 313014 407784 417352 626028 1041679 1252056 2083358 3125037 3198361 4166716 5244991 6250074 6396722 8333432 9595083 10489982 12500148 12793444 13541827 15734973 19190166 20979964 25000296 25586888 27083654 31469946 38380332 40625481 41578693 41959928 54167308 62939892 68184883 76760664 81250962 83157386 108334616 124736079 125879784 136369766 162501924 166314772 204554649 249472158 272739532 325003848 332629544 409109298 498944316 545479064 818218596 997888632 1636437192 4180257827 8360515654 12540773481 16721031308 25081546962 33442062616 50163093924 54343351751 100326187848 108686703502 163030055253 217373407004 326060110506 434746814008 652120221012 1304240442024