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4234442321424 = 2437233311655393
BaseRepresentation
bin111101100111101000011…
…011100010111000010000
3112222210211120021121011210
4331213220123202320100
51023334114213241144
613001135334340120
7614633266601310
oct75475033427020
915883746247153
104234442321424
1113928a9331717
125847b61ba640
132493c9940053
14108d3b83d440
1575233051ab9
hex3d9e86e2e10

4234442321424 has 160 divisors (see below), whose sum is σ = 13084657956864. Its totient is φ = 1153742008320.

The previous prime is 4234442321423. The next prime is 4234442321453. The reversal of 4234442321424 is 4241232444324.

4234442321424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (4234442321423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1730272 + ... + 3385664.

Almost surely, 24234442321424 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 4234442321424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6542328978432).

4234442321424 is an abundant number, since it is smaller than the sum of its proper divisors (8850215635440).

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

4234442321424 is a wasteful number, since it uses less digits than its factorization.

4234442321424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1655765 (or 1655759 counting only the distinct ones).

The product of its digits is 589824, while the sum is 39.

Adding to 4234442321424 its reverse (4241232444324), we get a palindrome (8475674765748).

The spelling of 4234442321424 in words is "four trillion, two hundred thirty-four billion, four hundred forty-two million, three hundred twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 112 138 161 168 184 276 322 331 336 368 483 552 644 662 966 993 1104 1288 1324 1932 1986 2317 2576 2648 3864 3972 4634 5296 6951 7613 7728 7944 9268 13902 15226 15888 18536 22839 27804 30452 37072 45678 53291 55608 60904 91356 106582 111216 121808 159873 182712 213164 319746 365424 426328 639492 852656 1278984 1655393 2557968 3310786 4966179 6621572 9932358 11587751 13243144 19864716 23175502 26486288 34763253 38074039 39729432 46351004 69526506 76148078 79458864 92702008 114222117 139053012 152296156 185404016 228444234 266518273 278106024 304592312 456888468 533036546 547935083 556212048 609184624 799554819 913776936 1066073092 1095870166 1599109638 1643805249 1827553872 2132146184 2191740332 3198219276 3287610498 3835545581 4264292368 4383480664 6396438552 6575220996 7671091162 8766961328 11506636743 12602506909 12792877104 13150441992 15342182324 23013273486 25205013818 26300883984 30684364648 37807520727 46026546972 50410027636 61368729296 75615041454 88217548363 92053093944 100820055272 151230082908 176435096726 184106187888 201640110544 264652645089 302460165816 352870193452 529305290178 604920331632 705740386904 1058610580356 1411480773808 2117221160712 4234442321424