Search a number
-
+
1145110606452 = 223237338520929
BaseRepresentation
bin10000101010011101111…
…010010011001001110100
311001110201201122000022200
4100222131322103021310
5122230141303401302
62234020114224500
7145505623361421
oct20523572231164
94043651560280
101145110606452
114017030a232a
12165b1b285130
1383ca28a4807
143d5d06c8d48
151ebc0e8b81c
hex10a9de93274

1145110606452 has 36 divisors (see below), whose sum is σ = 2895360888420. Its totient is φ = 381601239552.

The previous prime is 1145110606411. The next prime is 1145110606457. The reversal of 1145110606452 is 2546060115411.

1145110606452 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 1 + 1 + 0 + 6 + 0 + 645 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 509847409296 + 635263197156 = 714036^2 + 797034^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×11451106064522 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1145110606457) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4126077 + ... + 4394852.

It is an arithmetic number, because the mean of its divisors is an integer number (80426691345).

Almost surely, 21145110606452 is an apocalyptic number.

1145110606452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1145110606452 is an abundant number, since it is smaller than the sum of its proper divisors (1750250281968).

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

1145110606452 is a wasteful number, since it uses less digits than its factorization.

1145110606452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8524672 (or 8524667 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 1145110606452 in words is "one trillion, one hundred forty-five billion, one hundred ten million, six hundred six thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 3733 7466 11199 14932 22398 33597 44796 67194 134388 8520929 17041858 25562787 34083716 51125574 76688361 102251148 153376722 306753444 31808627957 63617255914 95425883871 127234511828 190851767742 286277651613 381703535484 572555303226 1145110606452