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3343445434144 = 251737997166609
BaseRepresentation
bin110000101001110100111…
…000001001111100100000
3102211122000110110000210201
4300221310320021330200
5414234334012343034
611035542503034544
7463361460164644
oct60516470117440
912748013400721
103343445434144
111079a46869752
1245bb9513ba54
131b3393483c9a
14b7b7603cc24
155be86119014
hex30a74e09f20

3343445434144 has 96 divisors (see below), whose sum is σ = 7165199003760. Its totient is φ = 1529317490688.

The previous prime is 3343445434103. The next prime is 3343445434157. The reversal of 3343445434144 is 4414345443433.

It can be written as a sum of positive squares in 8 ways, for example, as 2364176857744 + 979268576400 = 1537588^2 + 989580^2 .

It is a super-2 number, since 2×33434454341442 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3343445434094 and 3343445434103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19984312 + ... + 20150920.

Almost surely, 23343445434144 is an apocalyptic number.

3343445434144 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3343445434144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3582599501880).

3343445434144 is an abundant number, since it is smaller than the sum of its proper divisors (3821753569616).

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

3343445434144 is a wasteful number, since it uses less digits than its factorization.

3343445434144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167670 (or 167662 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 46.

The spelling of 3343445434144 in words is "three trillion, three hundred forty-three billion, four hundred forty-five million, four hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 37 68 74 136 148 272 296 544 592 629 997 1184 1258 1994 2516 3988 5032 7976 10064 15952 16949 20128 31904 33898 36889 67796 73778 135592 147556 166609 271184 295112 333218 542368 590224 627113 666436 1180448 1254226 1332872 2508452 2665744 2832353 5016904 5331488 5664706 6164533 10033808 11329412 12329066 20067616 22658824 24658132 45317648 49316264 90635296 98632528 104797061 166109173 197265056 209594122 332218346 419188244 664436692 838376488 1328873384 1676752976 2657746768 2823855941 3353505952 5315493536 5647711882 6146039401 11295423764 12292078802 22590847528 24584157604 45181695056 49168315208 90363390112 98336630416 104482669817 196673260832 208965339634 417930679268 835861358536 1671722717072 3343445434144