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14223213792 = 25352963073
BaseRepresentation
bin11010011111100010…
…10000010011100000
31100201020111010100000
431033301100103200
5213112120320132
610311204500000
71012315215414
oct151761202340
940636433300
1014223213792
1160396a7047
12290b3aa600
131458933348
1498cdbcd44
15583a2587c
hex34fc504e0

14223213792 has 144 divisors (see below), whose sum is σ = 43392389040. Its totient is φ = 4577513472.

The previous prime is 14223213769. The next prime is 14223213827. The reversal of 14223213792 is 29731232241.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 193968 + ... + 257040.

It is an arithmetic number, because the mean of its divisors is an integer number (301336035).

Almost surely, 214223213792 is an apocalyptic number.

14223213792 is a gapful number since it is divisible by the number (12) 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 14223213792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21696194520).

14223213792 is an abundant number, since it is smaller than the sum of its proper divisors (29169175248).

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

14223213792 is an equidigital number, since it uses as much as digits as its factorization.

14223213792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63127 (or 63107 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The spelling of 14223213792 in words is "fourteen billion, two hundred twenty-three million, two hundred thirteen thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 72 81 87 96 108 116 144 162 174 216 232 243 261 288 324 348 432 464 486 522 648 696 783 864 928 972 1044 1296 1392 1566 1944 2088 2349 2592 2784 3132 3888 4176 4698 6264 7047 7776 8352 9396 12528 14094 18792 25056 28188 37584 56376 63073 75168 112752 126146 189219 225504 252292 378438 504584 567657 756876 1009168 1135314 1513752 1702971 1829117 2018336 2270628 3027504 3405942 3658234 4541256 5108913 5487351 6055008 6811884 7316468 9082512 10217826 10974702 13623768 14632936 15326739 16462053 18165024 20435652 21949404 27247536 29265872 30653478 32924106 40871304 43898808 49386159 54495072 58531744 61306956 65848212 81742608 87797616 98772318 122613912 131696424 148158477 163485216 175595232 197544636 245227824 263392848 296316954 395089272 444475431 490455648 526785696 592633908 790178544 888950862 1185267816 1580357088 1777901724 2370535632 3555803448 4741071264 7111606896 14223213792