Search a number
-
+
1104332114004 = 223737389913417
BaseRepresentation
bin10000000100011111010…
…100101100100001010100
310220120110210200221221120
4100010133110230201110
5121043133010122004
62203153445443540
7142533244042350
oct20043724544124
93816423627846
101104332114004
113963877633a9
1215a03a7105b0
13801a445ca42
143b642990460
151dad5e7a3d9
hex1011f52c854

1104332114004 has 96 divisors (see below), whose sum is σ = 3032255466240. Its totient is φ = 306206272512.

The previous prime is 1104332113999. The next prime is 1104332114077. The reversal of 1104332114004 is 4004112334011.

It is a congruent number.

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, 752304 + ... + 1665720.

It is an arithmetic number, because the mean of its divisors is an integer number (31585994440).

Almost surely, 21104332114004 is an apocalyptic number.

1104332114004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1104332114004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516127733120).

1104332114004 is an abundant number, since it is smaller than the sum of its proper divisors (1927923352236).

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

1104332114004 is a wasteful number, since it uses less digits than its factorization.

1104332114004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913857 (or 913855 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1104332114004 its reverse (4004112334011), we get a palindrome (5108444448015).

The spelling of 1104332114004 in words is "one trillion, one hundred four billion, three hundred thirty-two million, one hundred fourteen thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 74 84 111 148 222 259 389 444 518 777 778 1036 1167 1554 1556 2334 2723 3108 4668 5446 8169 10892 14393 16338 28786 32676 43179 57572 86358 100751 172716 201502 302253 403004 604506 913417 1209012 1826834 2740251 3653668 5480502 6393919 10961004 12787838 19181757 25575676 33796429 38363514 67592858 76727028 101389287 135185716 202778574 236575003 355319213 405557148 473150006 709725009 710638426 946300012 1065957639 1419450018 1421276852 2131915278 2487234491 2838900036 4263830556 4974468982 7461703473 9948937964 13146810881 14923406946 26293621762 29846813892 39440432643 52587243524 78880865286 92027676167 157761730572 184055352334 276083028501 368110704668 552166057002 1104332114004