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22070140045317 = 34731361998717
BaseRepresentation
bin1010000010010100110101…
…10110111000100000000101
32220010212220000011211120000
411001022122312320200011
510343044121322422232
6114534514331431513
74435341434046000
oct501123266704005
986125800154500
1022070140045317
117039991763021
1225854112b5599
13c41288cb75b0
145642b417a537
152841658d927c
hex14129adb8805

22070140045317 has 160 divisors (see below), whose sum is σ = 41472616416000. Its totient is φ = 11622468041856.

The previous prime is 22070140045253. The next prime is 22070140045339. The reversal of 22070140045317 is 71354004107022.

22070140045317 is a `hidden beast` number, since 2 + 207 + 0 + 1 + 400 + 45 + 3 + 1 + 7 = 666.

It is not a de Polignac number, because 22070140045317 - 26 = 22070140045253 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22070140045367) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 223520443 + ... + 223619159.

It is an arithmetic number, because the mean of its divisors is an integer number (259203852600).

Almost surely, 222070140045317 is an apocalyptic number.

22070140045317 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

22070140045317 is a deficient number, since it is larger than the sum of its proper divisors (19402476370683).

22070140045317 is an equidigital number, since it uses as much as digits as its factorization.

22070140045317 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99382 (or 99359 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 22070140045317 in words is "twenty-two trillion, seventy billion, one hundred forty million, forty-five thousand, three hundred seventeen".

Divisors: 1 3 7 9 13 21 27 39 49 63 81 91 117 147 189 273 343 351 441 567 619 637 819 1029 1053 1323 1857 1911 2457 3087 3969 4333 4459 5571 5733 7371 8047 9261 12999 13377 16713 17199 24141 27783 30331 38997 40131 50139 51597 56329 72423 90993 98717 116991 120393 168987 212317 217269 272979 296151 350973 361179 394303 506961 636951 651807 691019 818937 888453 1182909 1283321 1520883 1910853 2073057 2456811 2665359 2760121 3548727 3849963 4562649 4837133 5732559 6219171 7996077 8280363 8983247 10646181 11549889 14511399 17197677 18657513 24841089 26949741 31938543 33859931 34649667 43534197 55972539 61105823 62882729 74523267 80849223 101579793 103949001 130602591 183317469 188648187 223569801 242547669 304739379 391807773 427740761 440179103 549952407 565944561 727643007 794375699 914218137 1283222283 1320537309 1649857221 1697833683 2383127097 2742654411 2994185327 3849666849 3961611927 4949571663 5093501049 5560629893 7149381291 8982555981 11549000547 11884835781 16681889679 20959297289 21448143873 26947667943 34647001641 35654507343 38924409251 50045669037 62877891867 64344431619 80843003829 116773227753 150137007111 188633675601 242529011487 272470864757 350319683259 450411021333 565901026803 817412594271 1050959049777 1697703080409 2452237782813 3152877149331 7356713348439 22070140045317