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6141543424 = 210312792
BaseRepresentation
bin1011011100001000…
…01000010000000000
3120212000101201202021
411232010020100000
5100034213342144
62453230331224
7305123154262
oct55604102000
916760351667
106141543424
112671817525
121234959b14
1376b4c6783
14423935b32
1525e296884
hex16e108400

6141543424 has 99 divisors (see below), whose sum is σ = 12848513391. Its totient is φ = 2934097920.

The previous prime is 6141543391. The next prime is 6141543433. The reversal of 6141543424 is 4243451416.

The square root of 6141543424 is 78368.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

Its product of digits (46080) is a multiple of the sum of its prime factors (240).

It is a self number, because there is not a number n which added to its sum of digits gives 6141543424.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 77741017 + ... + 77741095.

Almost surely, 26141543424 is an apocalyptic number.

6141543424 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

6141543424 is the 78368-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6141543424

6141543424 is an abundant number, since it is smaller than the sum of its proper divisors (6706969967).

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

6141543424 is an frugal number, since it uses more digits than its factorization.

6141543424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 112 counting only the distinct ones).

The product of its digits is 46080, while the sum is 34.

The cubic root of 6141543424 is about 1831.2986515918.

The spelling of 6141543424 in words is "six billion, one hundred forty-one million, five hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 31 32 62 64 79 124 128 158 248 256 316 496 512 632 961 992 1024 1264 1922 1984 2449 2528 3844 3968 4898 5056 6241 7688 7936 9796 10112 12482 15376 15872 19592 20224 24964 30752 31744 39184 40448 49928 61504 75919 78368 80896 99856 123008 151838 156736 193471 199712 246016 303676 313472 386942 399424 492032 607352 626944 773884 798848 984064 1214704 1253888 1547768 1597696 2429408 2507776 3095536 3195392 4858816 5997601 6191072 6390784 9717632 11995202 12382144 19435264 23990404 24764288 38870528 47980808 49528576 77741056 95961616 99057152 191923232 198114304 383846464 767692928 1535385856 3070771712 6141543424