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442202432140 = 225712541251861
BaseRepresentation
bin1100110111101010101…
…00011010001010001100
31120021101211220001102001
412123311110122022030
524221112310312030
6535051152442044
743643121440530
oct6336524321214
91507354801361
10442202432140
1116059a821297
1271850849324
1332912a94291
141758d081bc0
15b78192ccca
hex66f551a28c

442202432140 has 48 divisors (see below), whose sum is σ = 1061374676544. Its totient is φ = 151599571200.

The previous prime is 442202432131. The next prime is 442202432149. The reversal of 442202432140 is 41234202244.

It is an interprime number because it is at equal distance from previous prime (442202432131) and next prime (442202432149).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 442202432099 and 442202432108.

It is not an unprimeable number, because it can be changed into a prime (442202432149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1629810 + ... + 1881670.

It is an arithmetic number, because the mean of its divisors is an integer number (22111972428).

Almost surely, 2442202432140 is an apocalyptic number.

It is an amenable number.

442202432140 is an abundant number, since it is smaller than the sum of its proper divisors (619172244404).

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

442202432140 is a wasteful number, since it uses less digits than its factorization.

442202432140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264418 (or 264416 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 442202432140 its reverse (41234202244), we get a palindrome (483436634384).

The spelling of 442202432140 in words is "four hundred forty-two billion, two hundred two million, four hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 12541 25082 50164 62705 87787 125410 175574 250820 251861 351148 438935 503722 877870 1007444 1259305 1755740 1763027 2518610 3526054 5037220 7052108 8815135 17630270 35260540 3158588801 6317177602 12634355204 15792944005 22110121607 31585888010 44220243214 63171776020 88440486428 110550608035 221101216070 442202432140