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4014402214104 = 2332174679700949
BaseRepresentation
bin111010011010101101000…
…001001001100011011000
3112012202212120222222112100
4322122231001021203120
51011232443431322404
612312105123243400
7563013425544402
oct72325501114330
915182776888470
104014402214104
111308553438257
1254a027219560
13231730842909
14dc425dd5b72
156e65558cd39
hex3a6ad0498d8

4014402214104 has 96 divisors (see below), whose sum is σ = 11514365460000. Its totient is φ = 1259149341696.

The previous prime is 4014402214103. The next prime is 4014402214157. The reversal of 4014402214104 is 4014122044104.

It is a happy number.

4014402214104 is a `hidden beast` number, since 4 + 0 + 1 + 440 + 2 + 214 + 1 + 0 + 4 = 666.

It is a super-2 number, since 2×40144022141042 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4014402214103) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 5376622 + ... + 6077570.

It is an arithmetic number, because the mean of its divisors is an integer number (119941306875).

Almost surely, 24014402214104 is an apocalyptic number.

It is an amenable number.

4014402214104 is an abundant number, since it is smaller than the sum of its proper divisors (7499963245896).

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

4014402214104 is a wasteful number, since it uses less digits than its factorization.

4014402214104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705657 (or 705650 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 4014402214104 its reverse (4014122044104), we get a palindrome (8028524258208).

The spelling of 4014402214104 in words is "four trillion, fourteen billion, four hundred two million, two hundred fourteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 4679 9358 14037 18716 28074 37432 42111 56148 79543 84222 112296 159086 168444 238629 318172 336888 477258 636344 700949 715887 954516 1401898 1431774 1909032 2102847 2803796 2863548 4205694 5607592 5727096 6308541 8411388 11916133 12617082 16822776 23832266 25234164 35748399 47664532 50468328 71496798 95329064 107245197 142993596 214490394 285987192 428980788 857961576 3279740371 6559480742 9839221113 13118961484 19678442226 26237922968 29517663339 39356884452 55755586307 59035326678 78713768904 111511172614 118070653356 167266758921 223022345228 236141306712 334533517842 446044690456 501800276763 669067035684 1003600553526 1338134071368 2007201107052 4014402214104