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2240440042000 = 24531509174231
BaseRepresentation
bin100000100110100100101…
…000100000001000010000
321221011222010012112002211
4200212210220200020100
5243201410122321000
64433124405321504
7320603123066116
oct40464450401020
97834863175084
102240440042000
1179418aaa50a6
12302266a06294
13133370b57084
147a61b767ab6
153d42b8ab7ba
hex209a4a20210

2240440042000 has 80 divisors (see below), whose sum is σ = 5417815987584. Its totient is φ = 896104560000.

The previous prime is 2240440041991. The next prime is 2240440042021. The reversal of 2240440042000 is 2400440422.

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

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 15 ways as a sum of consecutive naturals, for example, 30144885 + ... + 30219115.

Almost surely, 22240440042000 is an apocalyptic number.

2240440042000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2240440042000 is an abundant number, since it is smaller than the sum of its proper divisors (3177375945584).

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

2240440042000 is a wasteful number, since it uses less digits than its factorization.

2240440042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89345 (or 89329 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 2240440042000 its reverse (2400440422), we get a palindrome (2242840482422).

The spelling of 2240440042000 in words is "two trillion, two hundred forty billion, four hundred forty million, forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 15091 30182 60364 74231 75455 120728 148462 150910 241456 296924 301820 371155 377275 593848 603640 742310 754550 1187696 1207280 1484620 1509100 1855775 1886375 2969240 3018200 3711550 3772750 5938480 6036400 7423100 7545500 9278875 14846200 15091000 18557750 29692400 30182000 37115500 74231000 148462000 1120220021 2240440042 4480880084 5601100105 8961760168 11202200210 17923520336 22404400420 28005500525 44808800840 56011001050 89617601680 112022002100 140027502625 224044004200 280055005250 448088008400 560110010500 1120220021000 2240440042000