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3413114341404 = 2231921091722167
BaseRepresentation
bin110001101010101101011…
…101111100100000011100
3110002021211210210012211020
4301222231131330200130
5421410024232411104
611131544005324140
7501406104135435
oct61525535744034
913067753705736
103413114341404
1110a654807a959
12471599106650
131b9b17135371
14bb2a4aaa48c
155dbb26282d9
hex31aad77c81c

3413114341404 has 72 divisors (see below), whose sum is σ = 8412864340608. Its totient is φ = 1076836165920.

The previous prime is 3413114341379. The next prime is 3413114341421. The reversal of 3413114341404 is 4041434113143.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4365129 + ... + 5087295.

It is an arithmetic number, because the mean of its divisors is an integer number (116845338064).

Almost surely, 23413114341404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3413114341404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4206432170304).

3413114341404 is an abundant number, since it is smaller than the sum of its proper divisors (4999749999204).

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

3413114341404 is a wasteful number, since it uses less digits than its factorization.

3413114341404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723303 (or 723282 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 3413114341404 its reverse (4041434113143), we get a palindrome (7454548454547).

The spelling of 3413114341404 in words is "three trillion, four hundred thirteen billion, one hundred fourteen million, three hundred forty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 361 722 1083 1091 1444 2166 2182 3273 4332 4364 6546 13092 20729 41458 62187 82916 124374 248748 393851 722167 787702 1181553 1444334 1575404 2166501 2363106 2888668 4333002 4726212 8666004 13721173 27442346 41163519 54884692 82327038 164654076 260702287 521404574 782106861 787884197 1042809148 1564213722 1575768394 2363652591 3128427444 3151536788 4727305182 9454610364 14969799743 29939599486 44909399229 59879198972 89818798458 179637596916 284426195117 568852390234 853278585351 1137704780468 1706557170702 3413114341404