Search a number
-
+
350355106404114 = 23753359438418471
BaseRepresentation
bin100111110101001010110011…
…1101010011001011100010010
31200221111121202202110020221020
41033222111213222121130102
5331410204224214412424
63241050525224140310
7133540215100641060
oct11752254752313422
91627447682406836
10350355106404114
11a16a784790a949
1233365200307696
13120654635cb6b6
1462733c5b51030
152a78818996079
hex13ea567a99712

350355106404114 has 64 divisors (see below), whose sum is σ = 818194089185280. Its totient is φ = 97939178850240.

The previous prime is 350355106404071. The next prime is 350355106404119. The reversal of 350355106404114 is 411404601553053.

It is a super-2 number, since 2×3503551064041142 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (350355106404119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218410102 + ... + 220008369.

It is an arithmetic number, because the mean of its divisors is an integer number (12784282643520).

Almost surely, 2350355106404114 is an apocalyptic number.

350355106404114 is an abundant number, since it is smaller than the sum of its proper divisors (467838982781166).

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

350355106404114 is a wasteful number, since it uses less digits than its factorization.

350355106404114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438418895.

The product of its (nonzero) digits is 432000, while the sum is 42.

Adding to 350355106404114 its reverse (411404601553053), we get a palindrome (761759707957167).

The spelling of 350355106404114 in words is "three hundred fifty trillion, three hundred fifty-five billion, one hundred six million, four hundred four thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 53 106 159 318 359 371 718 742 1077 1113 2154 2226 2513 5026 7539 15078 19027 38054 57081 114162 133189 266378 399567 799134 438418471 876836942 1315255413 2630510826 3068929297 6137858594 9206787891 18413575782 23236178963 46472357926 69708536889 139417073778 157392231089 162653252741 314784462178 325306505482 472176693267 487959758223 944353386534 975919516446 1101745617623 2203491235246 3305236852869 6610473705738 8341788247717 16683576495434 25025364743151 50050729486302 58392517734019 116785035468038 175177553202057 350355106404114