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14021322023304 = 23321916576185579
BaseRepresentation
bin1100110000001001011111…
…1010110010000110001000
31211122102111001001222001100
43030002113322302012020
53314211131414221204
645453150104021400
72645002300511601
oct314022772620610
954572431058040
1014021322023304
114516455824352
1216a5514461860
137a92884a7b9b
143668c8168da8
15194ad7c59a39
hexcc097eb2188

14021322023304 has 96 divisors (see below), whose sum is σ = 39997197396000. Its totient is φ = 4425113016576.

The previous prime is 14021322023297. The next prime is 14021322023311. The reversal of 14021322023304 is 40332022312041.

14021322023304 is a `hidden beast` number, since 1 + 4 + 0 + 2 + 1 + 322 + 0 + 2 + 330 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (14021322023297) and next prime (14021322023311).

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 23 ways as a sum of consecutive naturals, for example, 826014 + ... + 5359565.

It is an arithmetic number, because the mean of its divisors is an integer number (416637472875).

Almost surely, 214021322023304 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 14021322023304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19998598698000).

14021322023304 is an abundant number, since it is smaller than the sum of its proper divisors (25975875372696).

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

14021322023304 is a wasteful number, since it uses less digits than its factorization.

14021322023304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6187267 (or 6187260 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 14021322023304 its reverse (40332022312041), we get a palindrome (54353344335345).

The spelling of 14021322023304 in words is "fourteen trillion, twenty-one billion, three hundred twenty-two million, twenty-three thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1368 1657 3314 4971 6628 9942 13256 14913 19884 29826 31483 39768 59652 62966 94449 119304 125932 188898 251864 283347 377796 566694 755592 1133388 2266776 6185579 12371158 18556737 24742316 37113474 49484632 55670211 74226948 111340422 117526001 148453896 222680844 235052002 352578003 445361688 470104004 705156006 940208008 1057734009 1410312012 2115468018 2820624024 4230936036 8461872072 10249504403 20499008806 30748513209 40998017612 61497026418 81996035224 92245539627 122994052836 184491079254 194740583657 245988105672 368982158508 389481167314 584221750971 737964317016 778962334628 1168443501942 1557924669256 1752665252913 2336887003884 3505330505826 4673774007768 7010661011652 14021322023304