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242014444232 = 231119977148153
BaseRepresentation
bin1110000101100100101…
…1110101101011001000
3212010200101212120222112
43201121023311223020
512431121144203412
6303102505241452
723325225556031
oct3413113655310
9763611776875
10242014444232
1193701931a90
123aaa2193288
1319a8b835472
14b9dc027a88
156466c23722
hex38592f5ac8

242014444232 has 64 divisors (see below), whose sum is σ = 521620603200. Its totient is φ = 104109373440.

The previous prime is 242014444219. The next prime is 242014444241. The reversal of 242014444232 is 232444410242.

242014444232 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, 1559468 + ... + 1707620.

It is an arithmetic number, because the mean of its divisors is an integer number (8150321925).

Almost surely, 2242014444232 is an apocalyptic number.

242014444232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242014444232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260810301600).

242014444232 is an abundant number, since it is smaller than the sum of its proper divisors (279606158968).

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

242014444232 is a wasteful number, since it uses less digits than its factorization.

242014444232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149166 (or 149162 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 242014444232 its reverse (232444410242), we get a palindrome (474458854474).

The spelling of 242014444232 in words is "two hundred forty-two billion, fourteen million, four hundred forty-four thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 418 836 977 1672 1954 3908 7816 10747 18563 21494 37126 42988 74252 85976 148153 148504 204193 296306 408386 592612 816772 1185224 1629683 1633544 2814907 3259366 5629814 6518732 11259628 13037464 22519256 30963977 61927954 123855908 144745481 247711816 289490962 578981924 1157963848 1592200291 2750164139 3184400582 5500328278 6368801164 11000656556 12737602328 22001313112 30251805529 60503611058 121007222116 242014444232