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6141067044 = 22371012712671
BaseRepresentation
bin1011011100000100…
…10011111100100100
3120211222111112021120
411232002103330210
5100034103121134
62453212213540
7305116131360
oct55602237444
916758445246
106141067044
112671521622
12123476a2b0
1376b38a9a8
144238502a0
1525e200649
hex16e093f24

6141067044 has 96 divisors (see below), whose sum is σ = 16605560832. Its totient is φ = 1730160000.

The previous prime is 6141067033. The next prime is 6141067061. The reversal of 6141067044 is 4407601416.

It is a junction number, because it is equal to n+sod(n) for n = 6141066996 and 6141067014.

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, 2297829 + ... + 2300499.

It is an arithmetic number, because the mean of its divisors is an integer number (172974592).

Almost surely, 26141067044 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 6141067044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8302780416).

6141067044 is an abundant number, since it is smaller than the sum of its proper divisors (10464493788).

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

6141067044 is a wasteful number, since it uses less digits than its factorization.

6141067044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3057 (or 3055 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 6141067044 is about 78364.9605627413. The cubic root of 6141067044 is about 1831.2513010292.

The spelling of 6141067044 in words is "six billion, one hundred forty-one million, sixty-seven thousand, forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 101 202 271 303 404 542 606 707 813 1084 1212 1414 1626 1897 2121 2671 2828 3252 3794 4242 5342 5691 7588 8013 8484 10684 11382 16026 18697 22764 27371 32052 37394 54742 56091 74788 82113 109484 112182 164226 191597 224364 269771 328452 383194 539542 574791 723841 766388 809313 1079084 1149582 1447682 1618626 1888397 2171523 2299164 2895364 3237252 3776794 4343046 5066887 5665191 7553588 8686092 10133774 11330382 15200661 20267548 22660764 30401322 60802644 73107941 146215882 219323823 292431764 438647646 511755587 877295292 1023511174 1535266761 2047022348 3070533522 6141067044