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22314113201424 = 24311107394968019
BaseRepresentation
bin1010001001011011010001…
…10010100111010100010000
32221000012121220201022002210
411010231220302213110100
510411043300434421144
6115242543451112120
74462066345465212
oct504555062472420
987005556638083
1022314113201424
1171233a91a1250
12260475b442640
13c5b29a56c165
1457201a3925b2
1528a694566ab9
hex144b68ca7510

22314113201424 has 80 divisors (see below), whose sum is σ = 63472940686080. Its totient is φ = 6698657585280.

The previous prime is 22314113201399. The next prime is 22314113201437. The reversal of 22314113201424 is 42410231141322.

It is a happy number.

It is a super-3 number, since 3×223141132014243 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22314113201391 and 22314113201400.

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 15 ways as a sum of consecutive naturals, for example, 197427514 + ... + 197540505.

It is an arithmetic number, because the mean of its divisors is an integer number (793411758576).

Almost surely, 222314113201424 is an apocalyptic number.

22314113201424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22314113201424 is an abundant number, since it is smaller than the sum of its proper divisors (41158827484656).

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

22314113201424 is a wasteful number, since it uses less digits than its factorization.

22314113201424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394968148 (or 394968142 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 22314113201424 its reverse (42410231141322), we get a palindrome (64724344342746).

The spelling of 22314113201424 in words is "twenty-two trillion, three hundred fourteen billion, one hundred thirteen million, two hundred one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 107 132 176 214 264 321 428 528 642 856 1177 1284 1712 2354 2568 3531 4708 5136 7062 9416 14124 18832 28248 56496 394968019 789936038 1184904057 1579872076 2369808114 3159744152 4344648209 4739616228 6319488304 8689296418 9479232456 13033944627 17378592836 18958464912 26067889254 34757185672 42261578033 52135778508 69514371344 84523156066 104271557016 126784734099 169046312132 208543114032 253569468198 338092624264 464877358363 507138936396 676185248528 929754716726 1014277872792 1394632075089 1859509433452 2028555745584 2789264150178 3719018866904 5578528300356 7438037733808 11157056600712 22314113201424