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7038141057 = 334143199743
BaseRepresentation
bin1101000111000000…
…11000001010000001
3200011111111121111000
412203200120022001
5103403231003212
63122215442213
7336261132453
oct64340301201
920144447430
107038141057
112a91935602
121445086369
1388219b60c
144aaa482d3
152b2d501dc
hex1a3818281

7038141057 has 64 divisors (see below), whose sum is σ = 10999296000. Its totient is φ = 4442739840.

The previous prime is 7038141031. The next prime is 7038141067. The reversal of 7038141057 is 7501418307.

It is not a de Polignac number, because 7038141057 - 224 = 7021363841 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7038141067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9472228 + ... + 9472970.

It is an arithmetic number, because the mean of its divisors is an integer number (171864000).

Almost surely, 27038141057 is an apocalyptic number.

It is an amenable number.

7038141057 is a deficient number, since it is larger than the sum of its proper divisors (3961154943).

7038141057 is a wasteful number, since it uses less digits than its factorization.

7038141057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 7038141057 is about 83893.6294184487. The cubic root of 7038141057 is about 1916.3992352400.

The spelling of 7038141057 in words is "seven billion, thirty-eight million, one hundred forty-one thousand, fifty-seven".

Divisors: 1 3 9 27 41 43 123 129 199 369 387 597 743 1107 1161 1763 1791 2229 5289 5373 6687 8159 8557 15867 20061 24477 25671 30463 31949 47601 73431 77013 91389 95847 147857 220293 231039 274167 287541 350837 443571 822501 862623 1052511 1309909 1330713 3157533 3929727 3992139 6062137 6357851 9472599 11789181 18186411 19073553 35367543 54559233 57220659 163677699 171661977 260671891 782015673 2346047019 7038141057