Search a number
-
+
11030377800444 = 2233126019111747
BaseRepresentation
bin1010000010000011010111…
…0000000010001011111100
31110001111022222211211110120
42200200311300002023330
52421210203204103234
635243141405134540
72215630021214232
oct240406560021374
943044288754416
1011030377800444
113572a58786012
1212a191725a450
13620210b570c2
142a1c31c46952
15141dd355e049
hexa0835c022fc

11030377800444 has 144 divisors (see below), whose sum is σ = 26683330641408. Its totient is φ = 3546335520000.

The previous prime is 11030377800443. The next prime is 11030377800451. The reversal of 11030377800444 is 44400877303011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11030377800396 and 11030377800405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11030377800443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6313895979 + ... + 6313897725.

It is an arithmetic number, because the mean of its divisors is an integer number (185300907232).

Almost surely, 211030377800444 is an apocalyptic number.

It is an amenable number.

11030377800444 is an abundant number, since it is smaller than the sum of its proper divisors (15652952840964).

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

11030377800444 is a wasteful number, since it uses less digits than its factorization.

11030377800444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3328 (or 3295 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 11030377800444 in words is "eleven trillion, thirty billion, three hundred seventy-seven million, eight hundred thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 31 62 93 124 186 372 601 911 961 1202 1747 1803 1822 1922 2404 2733 2883 3494 3606 3644 3844 5241 5466 5766 6988 7212 10482 10932 11532 18631 20964 28241 37262 54157 55893 56482 74524 84723 108314 111786 112964 162471 169446 216628 223572 324942 338892 547511 577561 649884 875471 1049947 1095022 1155122 1591517 1642533 1678867 1732683 1750942 2099894 2190044 2310244 2626413 3149841 3183034 3285066 3357734 3465366 3501884 4199788 4774551 5036601 5252826 6299682 6366068 6570132 6715468 6930732 9549102 10073202 10505652 12599364 16972841 19098204 20146404 32548357 33945682 49337027 50918523 65096714 67891364 97645071 98674054 101837046 130193428 148011081 195290142 197348108 203674092 296022162 390580284 526158071 592044324 956501717 1008999067 1052316142 1529447837 1578474213 1913003434 2017998134 2104632284 2869505151 3026997201 3058895674 3156948426 3826006868 4035996268 4588343511 5739010302 6053994402 6117791348 6313896852 9176687022 11478020604 12107988804 18353374044 29651553227 59303106454 88954659681 118606212908 177909319362 355818638724 919198150037 1838396300074 2757594450111 3676792600148 5515188900222 11030377800444