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4214313232024 = 237232229761933
BaseRepresentation
bin111101010100111000101…
…001001010011010011000
3112220212212201211220120011
4331110320221022122120
51023021403141411044
612544010114211304
7613321416265420
oct75247051123230
915825781756504
104214313232024
111385309a52945
12580918b83b34
1324753c5a826c
14107d8c353480
1574955cd7134
hex3d538a4a698

4214313232024 has 96 divisors (see below), whose sum is σ = 9444642671520. Its totient is φ = 1726826669568.

The previous prime is 4214313232007. The next prime is 4214313232033. The reversal of 4214313232024 is 4202323134124.

It is a super-2 number, since 2×42143132320242 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68015362 + ... + 68077294.

It is an arithmetic number, because the mean of its divisors is an integer number (98381694495).

Almost surely, 24214313232024 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 4214313232024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4722321335760).

4214313232024 is an abundant number, since it is smaller than the sum of its proper divisors (5230329439496).

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

4214313232024 is a wasteful number, since it uses less digits than its factorization.

4214313232024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64289 (or 64262 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 4214313232024 its reverse (4202323134124), we get a palindrome (8416636366148).

The spelling of 4214313232024 in words is "four trillion, two hundred fourteen billion, three hundred thirteen million, two hundred thirty-two thousand, twenty-four".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 184 322 529 644 1058 1288 2116 2297 3703 4232 4594 7406 9188 14812 16079 18376 29624 32158 52831 61933 64316 105662 123866 128632 211324 247732 369817 422648 433531 495464 739634 867062 1215113 1424459 1479268 1734124 2430226 2848918 2958536 3468248 4860452 5697836 8505791 9720904 9971213 11395672 17011582 19942426 32762557 34023164 39884852 65525114 68046328 79769704 131050228 142260101 229337899 262100456 284520202 458675798 569040404 917351596 995820707 1138080808 1834703192 1991641414 3271982323 3983282828 6543964646 7966565656 13087929292 22903876261 26175858584 45807752522 75255593429 91615505044 150511186858 183231010088 301022373716 526789154003 602044747432 1053578308006 2107156616012 4214313232024