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42244214124 = 22371785734519
BaseRepresentation
bin100111010101111100…
…111000110101101100
311001001001221102112010
4213111330320311230
51143004004322444
631223504041220
73023564616060
oct472574706554
9131031842463
1042244214124
1116a08837362
12822b603210
133ca2cc4908
14208a677aa0
151173a392b9
hex9d5f38d6c

42244214124 has 96 divisors (see below), whose sum is σ = 119420421120. Its totient is φ = 11346204672.

The previous prime is 42244214119. The next prime is 42244214143. The reversal of 42244214124 is 42141244224.

It is a super-2 number, since 2×422442141242 (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 42244214091 and 42244214100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1206537 + ... + 1241055.

It is an arithmetic number, because the mean of its divisors is an integer number (1243962720).

Almost surely, 242244214124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42244214124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59710210560).

42244214124 is an abundant number, since it is smaller than the sum of its proper divisors (77176206996).

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

42244214124 is a wasteful number, since it uses less digits than its factorization.

42244214124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35407 (or 35405 counting only the distinct ones).

The product of its digits is 16384, while the sum is 30.

Adding to 42244214124 its reverse (42141244224), we get a palindrome (84385458348).

The spelling of 42244214124 in words is "forty-two billion, two hundred forty-four million, two hundred fourteen thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 714 857 1428 1714 2571 3428 5142 5999 10284 11998 14569 17997 23996 29138 34519 35994 43707 58276 69038 71988 87414 101983 103557 138076 174828 203966 207114 241633 305949 407932 414228 483266 586823 611898 724899 966532 1173646 1223796 1449798 1760469 2347292 2899596 3520938 4107761 7041876 8215522 12323283 16431044 24646566 29582783 49293132 59165566 88748349 118331132 177496698 207079481 354993396 414158962 502907311 621238443 828317924 1005814622 1242476886 1508721933 2011629244 2484953772 3017443866 3520351177 6034887732 7040702354 10561053531 14081404708 21122107062 42244214124