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1442203234020 = 2232515751033377
BaseRepresentation
bin10100111111001010000…
…000101110111011100100
312002212120121211012212100
4110333022000232323210
5142112113011442040
63022312232252100
7206124066136443
oct24771200567344
95085517735770
101442203234020
115066a914469a
121b3612b41030
13a5ccb280ab3
144db35656d5a
15277ad2a1b30
hex14fca02eee4

1442203234020 has 72 divisors (see below), whose sum is σ = 4402547453304. Its totient is φ = 382137919488.

The previous prime is 1442203234013. The next prime is 1442203234027. The reversal of 1442203234020 is 204323022441.

1442203234020 is a `hidden beast` number, since 1 + 4 + 4 + 220 + 32 + 3 + 402 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1442203234013) and next prime (1442203234027).

It can be written as a sum of positive squares in 4 ways, for example, as 8546632704 + 1433656601316 = 92448^2 + 1197354^2 .

It is not an unprimeable number, because it can be changed into a prime (1442203234027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25488429 + ... + 25544948.

It is an arithmetic number, because the mean of its divisors is an integer number (61146492407).

Almost surely, 21442203234020 is an apocalyptic number.

1442203234020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1442203234020 is an abundant number, since it is smaller than the sum of its proper divisors (2960344219284).

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

1442203234020 is a wasteful number, since it uses less digits than its factorization.

1442203234020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51033549 (or 51033544 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 1442203234020 its reverse (204323022441), we get a palindrome (1646526256461).

The spelling of 1442203234020 in words is "one trillion, four hundred forty-two billion, two hundred three million, two hundred thirty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 157 180 314 471 628 785 942 1413 1570 1884 2355 2826 3140 4710 5652 7065 9420 14130 28260 51033377 102066754 153100131 204133508 255166885 306200262 459300393 510333770 612400524 765500655 918600786 1020667540 1531001310 1837201572 2296501965 3062002620 4593003930 8012240189 9186007860 16024480378 24036720567 32048960756 40061200945 48073441134 72110161701 80122401890 96146882268 120183602835 144220323402 160244803780 240367205670 288440646804 360550808505 480734411340 721101617010 1442203234020