Search a number
-
+
9041230323104 = 257971512755693
BaseRepresentation
bin1000001110010001001101…
…0100100101110110100000
31012000022222212221020212012
42003210103110211312200
52141112414430314404
631121252303252052
71622131054510010
oct203442324456640
935008885836765
109041230323104
1129764008a4121
1210203018aa028
13507779ac2795
14233852837c40
1510a2b31dda6e
hex83913525da0

9041230323104 has 96 divisors (see below), whose sum is σ = 20688604183296. Its totient is φ = 3809468620800.

The previous prime is 9041230323091. The next prime is 9041230323149. The reversal of 9041230323104 is 4013230321409.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 1903082 + ... + 4658774.

It is an arithmetic number, because the mean of its divisors is an integer number (215506293576).

Almost surely, 29041230323104 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 9041230323104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10344302091648).

9041230323104 is an abundant number, since it is smaller than the sum of its proper divisors (11647373860192).

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

9041230323104 is a wasteful number, since it uses less digits than its factorization.

9041230323104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2755958 (or 2755950 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

The spelling of 9041230323104 in words is "nine trillion, forty-one billion, two hundred thirty million, three hundred twenty-three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 97 112 151 194 224 302 388 604 679 776 1057 1208 1358 1552 2114 2416 2716 3104 4228 4832 5432 8456 10864 14647 16912 21728 29294 33824 58588 102529 117176 205058 234352 410116 468704 820232 1640464 2755693 3280928 5511386 11022772 19289851 22045544 38579702 44091088 77159404 88182176 154318808 267302221 308637616 416109643 534604442 617275232 832219286 1069208884 1664438572 1871115547 2138417768 2912767501 3328877144 3742231094 4276835536 5825535002 6657754288 7484462188 8553671072 11651070004 13315508576 14968924376 23302140008 29937848752 40362635371 46604280016 59875697504 80725270742 93208560032 161450541484 282538447597 322901082968 565076895194 645802165936 1130153790388 1291604331872 2260307580776 4520615161552 9041230323104