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40240414001100 = 22352472853930071
BaseRepresentation
bin10010010011001001100111…
…00101010000011111001100
312021110221112122021200001110
421021210303211100133030
520233244331441013400
6221330105130412020
711322162654245565
oct1111446345203714
9167427478250043
1040240414001100
1111904955702485
12461aa41291010
13195b868670551
149d1909b3516c
1549bb2b1a4e50
hex2499339507cc

40240414001100 has 72 divisors (see below), whose sum is σ = 118906142519808. Its totient is φ = 10502462657600.

The previous prime is 40240414001071. The next prime is 40240414001219. The reversal of 40240414001100 is 110041404204.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1426950936 + ... + 1426979135.

It is an arithmetic number, because the mean of its divisors is an integer number (1651474201664).

Almost surely, 240240414001100 is an apocalyptic number.

It is an amenable number.

40240414001100 is an abundant number, since it is smaller than the sum of its proper divisors (78665728518708).

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

40240414001100 is a wasteful number, since it uses less digits than its factorization.

40240414001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2853930135 (or 2853930128 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 40240414001100 its reverse (110041404204), we get a palindrome (40350455405304).

The spelling of 40240414001100 in words is "forty trillion, two hundred forty billion, four hundred fourteen million, one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 47 50 60 75 94 100 141 150 188 235 282 300 470 564 705 940 1175 1410 2350 2820 3525 4700 7050 14100 2853930071 5707860142 8561790213 11415720284 14269650355 17123580426 28539300710 34247160852 42808951065 57078601420 71348251775 85617902130 134134713337 142696503550 171235804260 214044755325 268269426674 285393007100 402404140011 428089510650 536538853348 670673566685 804808280022 856179021300 1341347133370 1609616560044 2012020700055 2682694266740 3353367833425 4024041400110 6706735666850 8048082800220 10060103500275 13413471333700 20120207000550 40240414001100