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1144012164640 = 25519376319791
BaseRepresentation
bin10000101001011100011…
…100000100111000100000
311001100220011201101102121
4100221130130010320200
5122220414103232030
62233315114554024
7145436454645232
oct20513434047040
94040804641377
101144012164640
1140119a051784
12165873438914
1383b5914b147
143d528874252
151eb5981247a
hex10a5c704e20

1144012164640 has 48 divisors (see below), whose sum is σ = 2844977627520. Its totient is φ = 433520398080.

The previous prime is 1144012164629. The next prime is 1144012164649. The reversal of 1144012164640 is 464612104411.

It is a junction number, because it is equal to n+sod(n) for n = 1144012164596 and 1144012164605.

It is not an unprimeable number, because it can be changed into a prime (1144012164649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 188156856 + ... + 188162935.

It is an arithmetic number, because the mean of its divisors is an integer number (59270367240).

Almost surely, 21144012164640 is an apocalyptic number.

1144012164640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1144012164640 is an abundant number, since it is smaller than the sum of its proper divisors (1700965462880).

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

1144012164640 is a wasteful number, since it uses less digits than its factorization.

1144012164640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376319825 (or 376319817 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The spelling of 1144012164640 in words is "one trillion, one hundred forty-four billion, twelve million, one hundred sixty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 760 1520 3040 376319791 752639582 1505279164 1881598955 3010558328 3763197910 6021116656 7150076029 7526395820 12042233312 14300152058 15052791640 28600304116 30105583280 35750380145 57200608232 60211166560 71500760290 114401216464 143001520580 228802432928 286003041160 572006082320 1144012164640