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1141020624 = 243208111423
BaseRepresentation
bin100010000000010…
…1001011111010000
32221112000212001010
41010000221133100
54314100124444
6305120010520
740163341512
oct10400513720
92845025033
101141020624
11536092757
1227a160a40
13152513c43
14ab779bb2
156a28a2b9
hex440297d0

1141020624 has 40 divisors (see below), whose sum is σ = 2949311232. Its totient is φ = 380124160.

The previous prime is 1141020619. The next prime is 1141020679. The reversal of 1141020624 is 4260201411.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1141020624.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94177 + ... + 105599.

Almost surely, 21141020624 is an apocalyptic number.

It is an amenable number.

1141020624 is an abundant number, since it is smaller than the sum of its proper divisors (1808290608).

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

1141020624 is a wasteful number, since it uses less digits than its factorization.

1141020624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13515 (or 13509 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1141020624 is about 33778.9967879450. The cubic root of 1141020624 is about 1044.9555849044.

The spelling of 1141020624 in words is "one billion, one hundred forty-one million, twenty thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 2081 4162 6243 8324 11423 12486 16648 22846 24972 33296 34269 45692 49944 68538 91384 99888 137076 182768 274152 548304 23771263 47542526 71313789 95085052 142627578 190170104 285255156 380340208 570510312 1141020624