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442003212143240 = 235114495492234579
BaseRepresentation
bin110010001111111111110010…
…0011100110000101010001000
32010222000002112211020202120112
41210133333210130300222020
5430413240034302040430
64204021250015413452
7162046451433201266
oct14437774434605210
92128002484222515
10442003212143240
11118921567289290
12416a7225524288
1315c829549aa647
147b210d903d436
1536177b7d24195
hex191ffe4730a88

442003212143240 has 64 divisors (see below), whose sum is σ = 1084919874120000. Its totient is φ = 160728011319040.

The previous prime is 442003212143231. The next prime is 442003212143249. The reversal of 442003212143240 is 42341212300244.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (442003212143231) and next prime (442003212143249).

It is a junction number, because it is equal to n+sod(n) for n = 442003212143197 and 442003212143206.

It is not an unprimeable number, because it can be changed into a prime (442003212143249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196684271 + ... + 198918849.

It is an arithmetic number, because the mean of its divisors is an integer number (16951873033125).

Almost surely, 2442003212143240 is an apocalyptic number.

442003212143240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442003212143240 is an abundant number, since it is smaller than the sum of its proper divisors (642916661976760).

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

442003212143240 is a wasteful number, since it uses less digits than its factorization.

442003212143240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2684150 (or 2684146 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 442003212143240 its reverse (42341212300244), we get a palindrome (484344424443484).

The spelling of 442003212143240 in words is "four hundred forty-two trillion, three billion, two hundred twelve million, one hundred forty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 449549 899098 1798196 2234579 2247745 3596392 4469158 4495490 4945039 8938316 8990980 9890078 11172895 17876632 17981960 19780156 22345790 24580369 24725195 39560312 44691580 49160738 49450390 89383160 98321476 98900780 122901845 196642952 197801560 245803690 491607380 983214760 1004552754871 2009105509742 4018211019484 5022763774355 8036422038968 10045527548710 11050080303581 20091055097420 22100160607162 40182110194840 44200321214324 55250401517905 88400642428648 110500803035810 221001606071620 442003212143240