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350445142035030 = 235731365914712167
BaseRepresentation
bin100111110101110100101111…
…0001101000100101001010110
31200221211020011111101012111010
41033223221132031010221112
5331413143122330110110
63241200135320153050
7133546553212114620
oct11753513615045126
91627736144335433
10350445142035030
11a1731a4a657a79
123337a749008786
1312070ab1917953
1462778c7685c10
152a7ad38010020
hex13eba5e344a56

350445142035030 has 128 divisors (see below), whose sum is σ = 992499330908160. Its totient is φ = 77496628648320.

The previous prime is 350445142035017. The next prime is 350445142035047. The reversal of 350445142035030 is 30530241544053.

It is a super-3 number, since 3×3504451420350303 (a number of 45 digits) contains 333 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 350445142035030.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16464007 + ... + 31176173.

It is an arithmetic number, because the mean of its divisors is an integer number (7753901022720).

Almost surely, 2350445142035030 is an apocalyptic number.

350445142035030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 350445142035030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496249665454080).

350445142035030 is an abundant number, since it is smaller than the sum of its proper divisors (642054188873130).

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

350445142035030 is a wasteful number, since it uses less digits than its factorization.

350445142035030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14715874.

The product of its (nonzero) digits is 432000, while the sum is 39.

Adding to 350445142035030 its reverse (30530241544053), we get a palindrome (380975383579083).

The spelling of 350445142035030 in words is "three hundred fifty trillion, four hundred forty-five billion, one hundred forty-two million, thirty-five thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 31 35 42 62 70 93 105 155 186 210 217 310 434 465 651 930 1085 1302 2170 3255 3659 6510 7318 10977 18295 21954 25613 36590 51226 54885 76839 109770 113429 128065 153678 226858 256130 340287 384195 567145 680574 768390 794003 1134290 1588006 1701435 2382009 3402870 3970015 4764018 7940030 11910045 14712167 23820090 29424334 44136501 73560835 88273002 102985169 147121670 205970338 220682505 308955507 441365010 456077177 514925845 617911014 912154354 1029851690 1368231531 1544777535 2280385885 2736463062 3089555070 3192540239 4560771770 6385080478 6841157655 9577620717 13682315310 15962701195 19155241434 31925402390 47888103585 53831819053 95776207170 107663638106 161495457159 269159095265 322990914318 376822733371 538318190530 753645466742 807477285795 1130468200113 1614954571590 1668786390643 1884113666855 2260936400226 3337572781286 3768227333710 5006359171929 5652341000565 8343931953215 10012718343858 11304682001130 11681504734501 16687863906430 23363009469002 25031795859645 35044514203503 50063591719290 58407523672505 70089028407006 116815047345010 175222571017515 350445142035030