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11323401041040 = 2435114289167061
BaseRepresentation
bin1010010011000110111101…
…0010111111010010010000
31111002111200021202202112020
42210301233102333102100
52441010311131303130
640025522034131440
72246042301524304
oct244615722772220
944074607682466
1011323401041040
113676255761750
12132a674120b80
13641a3b4291ba
142b20ac55bd04
15149833494e10
hexa4c6f4bf490

11323401041040 has 80 divisors (see below), whose sum is σ = 38293683529536. Its totient is φ = 2745066918400.

The previous prime is 11323401040999. The next prime is 11323401041041. The reversal of 11323401041040 is 4014010432311.

11323401041040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×113234010410402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11323401041040.

It is not an unprimeable number, because it can be changed into a prime (11323401041041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2144580891 + ... + 2144586170.

Almost surely, 211323401041040 is an apocalyptic number.

11323401041040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11323401041040 is an abundant number, since it is smaller than the sum of its proper divisors (26970282488496).

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

11323401041040 is a wasteful number, since it uses less digits than its factorization.

11323401041040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4289167088 (or 4289167082 counting only the distinct ones).

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

Adding to 11323401041040 its reverse (4014010432311), we get a palindrome (15337411473351).

The spelling of 11323401041040 in words is "eleven trillion, three hundred twenty-three billion, four hundred one million, forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 4289167061 8578334122 12867501183 17156668244 21445835305 25735002366 34313336488 42891670610 47180837671 51470004732 64337505915 68626672976 85783341220 94361675342 102940009464 128675011830 141542513013 171566682440 188723350684 205880018928 235904188355 257350023660 283085026026 343133364880 377446701368 471808376710 514700047320 566170052052 707712565065 754893402736 943616753420 1029400094640 1132340104104 1415425130130 1887233506840 2264680208208 2830850260260 3774467013680 5661700520520 11323401041040