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350145113141355 = 3571131391024720719
BaseRepresentation
bin100111110011101001000001…
…1000101101011000001101011
31200220202112201222002020001220
41033213102003011223001223
5331343234142431010410
63240410235551513123
7133516102213442160
oct11747220305530153
91626675658066056
10350145113141355
11a1626788116504
1233330575b287a3
131204b708b107bc
146267184782067
152a73128045070
hex13e748316b06b

350145113141355 has 128 divisors (see below), whose sum is σ = 650673296179200. Its totient is φ = 157485482993664.

The previous prime is 350145113141323. The next prime is 350145113141363. The reversal of 350145113141355 is 553141311541053.

It is not a de Polignac number, because 350145113141355 - 25 = 350145113141323 is a prime.

It is a super-2 number, since 2×3501451131413552 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16899700686 + ... + 16899721404.

It is an arithmetic number, because the mean of its divisors is an integer number (5083385126400).

Almost surely, 2350145113141355 is an apocalyptic number.

350145113141355 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

350145113141355 is a deficient number, since it is larger than the sum of its proper divisors (300528183037845).

350145113141355 is a wasteful number, since it uses less digits than its factorization.

350145113141355 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31233.

The product of its (nonzero) digits is 270000, while the sum is 42.

The spelling of 350145113141355 in words is "three hundred fifty trillion, one hundred forty-five billion, one hundred thirteen million, one hundred forty-one thousand, three hundred fifty-five".

Divisors: 1 3 5 7 15 21 35 105 113 139 339 417 565 695 791 973 1695 2085 2373 2919 3955 4865 10247 11865 14595 15707 20719 30741 47121 51235 62157 71729 78535 103595 109949 145033 153705 215187 235605 310785 329847 358645 435099 549745 725165 1075935 1157911 1424333 1649235 2175495 2341247 2879941 3473733 4272999 5789555 7023741 7121665 8105377 8639823 9970331 11706235 14399705 16388729 17368665 20159587 21364995 24316131 29910993 35118705 40526885 43199115 49166187 49851655 60478761 81943645 100797935 121580655 149554965 160949629 212307593 245830935 302393805 325433333 482848887 636922779 804748145 976299999 1061537965 1126647403 1486153151 1627166665 2278033331 2414244435 3184613895 3379942209 4458459453 4881499995 5633237015 6834099993 7430765755 11390166655 16899711045 22292297265 23990758009 29510755427 34170499965 71972274027 88532266281 119953790045 147553777135 167935306063 206575287989 359861370135 442661331405 503805918189 619725863967 839676530315 1032876439945 2519029590945 3098629319835 3334715363251 10004146089753 16673576816255 23343007542757 50020730448765 70029022628271 116715037713785 350145113141355