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2242401001040 = 24550358794933
BaseRepresentation
bin100000101000011001100…
…000111101111001010000
321221101000210002120012102
4200220121200331321100
5243214414124013130
64434051135415532
7321002534005634
oct40503140757120
97841023076172
102242401001040
11794aa69a6702
123027136845a8
131335c41b2275
147a765d7cdc4
153d4e3b0b645
hex20a1983de50

2242401001040 has 80 divisors (see below), whose sum is σ = 5232901822848. Its totient is φ = 893642761728.

The previous prime is 2242401001039. The next prime is 2242401001081. The reversal of 2242401001040 is 401001042422.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23573414 + ... + 23668346.

Almost surely, 22242401001040 is an apocalyptic number.

2242401001040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2242401001040 is an abundant number, since it is smaller than the sum of its proper divisors (2990500821808).

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

2242401001040 is a wasteful number, since it uses less digits than its factorization.

2242401001040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96036 (or 96030 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 2242401001040 its reverse (401001042422), we get a palindrome (2643402043462).

The spelling of 2242401001040 in words is "two trillion, two hundred forty-two billion, four hundred one million, one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 503 587 1006 1174 2012 2348 2515 2935 4024 4696 5030 5870 8048 9392 10060 11740 20120 23480 40240 46960 94933 189866 295261 379732 474665 590522 759464 949330 1181044 1476305 1518928 1898660 2362088 2952610 3797320 4724176 5905220 7594640 11810440 23620880 47751299 55725671 95502598 111451342 191005196 222902684 238756495 278628355 382010392 445805368 477512990 557256710 764020784 891610736 955025980 1114513420 1910051960 2229026840 3820103920 4458053680 28030012513 56060025026 112120050052 140150062565 224240100104 280300125130 448480200208 560600250260 1121200500520 2242401001040