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242242444004 = 221119331875419
BaseRepresentation
bin1110000110011011000…
…1100101101011100100
3212011021021220011212112
43201212301211223210
512432103031202004
6303141252140152
723333664541301
oct3414661455344
9764237804775
10242242444004
11938095a9650
123ab46607658
1319ac6b44182
14ba204180a8
15647bc5de6e
hex3866c65ae4

242242444004 has 48 divisors (see below), whose sum is σ = 488274259200. Its totient is φ = 103999658400.

The previous prime is 242242443973. The next prime is 242242444033. The reversal of 242242444004 is 400444242242.

242242444004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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, 160994 + ... + 714425.

It is an arithmetic number, because the mean of its divisors is an integer number (10172380400).

Almost surely, 2242242444004 is an apocalyptic number.

It is an amenable number.

242242444004 is an abundant number, since it is smaller than the sum of its proper divisors (246031815196).

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

242242444004 is a wasteful number, since it uses less digits than its factorization.

242242444004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875784 (or 875782 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 242242444004 its reverse (400444242242), we get a palindrome (642686686246).

The spelling of 242242444004 in words is "two hundred forty-two billion, two hundred forty-two million, four hundred forty-four thousand, four".

Divisors: 1 2 4 11 19 22 38 44 76 209 331 418 662 836 1324 3641 6289 7282 12578 14564 25156 69179 138358 276716 875419 1750838 3501676 9629609 16632961 19259218 33265922 38518436 66531844 182962571 289763689 365925142 579527378 731850284 1159054756 3187400579 5505510091 6374801158 11011020182 12749602316 22022040364 60560611001 121121222002 242242444004