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24034214000 = 245329414383
BaseRepresentation
bin10110011000100011…
…010000000001110000
32022000222121120111002
4112120203100001300
5343210224322000
615012520341132
71510406306516
oct263043200160
968028546432
1024034214000
11a213761785
1247a90147a8
132360418404
14123ddc44b6
15959eed8d5
hex5988d0070

24034214000 has 80 divisors (see below), whose sum is σ = 60118830720. Its totient is φ = 9282156800.

The previous prime is 24034213997. The next prime is 24034214059. The reversal of 24034214000 is 41243042.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149192 + ... + 265191.

It is an arithmetic number, because the mean of its divisors is an integer number (751485384).

Almost surely, 224034214000 is an apocalyptic number.

24034214000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24034214000 is an abundant number, since it is smaller than the sum of its proper divisors (36084616720).

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

24034214000 is a wasteful number, since it uses less digits than its factorization.

24034214000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414435 (or 414419 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 24034214000 its reverse (41243042), we get a palindrome (24075457042).

The spelling of 24034214000 in words is "twenty-four billion, thirty-four million, two hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 125 145 200 232 250 290 400 464 500 580 725 1000 1160 1450 2000 2320 2900 3625 5800 7250 11600 14500 29000 58000 414383 828766 1657532 2071915 3315064 4143830 6630128 8287660 10359575 12017107 16575320 20719150 24034214 33150640 41438300 48068428 51797875 60085535 82876600 96136856 103595750 120171070 165753200 192273712 207191500 240342140 300427675 414383000 480684280 600855350 828766000 961368560 1201710700 1502138375 2403421400 3004276750 4806842800 6008553500 12017107000 24034214000