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3444145427220 = 223583299689113
BaseRepresentation
bin110010000111100111000…
…100001001001100010100
3110012020221102020201000220
4302013213010021030110
5422412102212132340
611154115113234340
7503555064045411
oct62074704111424
913166842221026
103444145427220
111108721339a23
124775b94029b0
131bca20ccc8c4
14bc9aa035108
155e8cba23ed0
hex321e7109314

3444145427220 has 48 divisors (see below), whose sum is σ = 9643736961600. Its totient is φ = 918426422016.

The previous prime is 3444145427201. The next prime is 3444145427231. The reversal of 3444145427220 is 227245414443.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4653384 + ... + 5342496.

It is an arithmetic number, because the mean of its divisors is an integer number (200911186700).

Almost surely, 23444145427220 is an apocalyptic number.

3444145427220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3444145427220 is an abundant number, since it is smaller than the sum of its proper divisors (6199591534380).

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

3444145427220 is a wasteful number, since it uses less digits than its factorization.

3444145427220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772424 (or 772422 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 42.

The spelling of 3444145427220 in words is "three trillion, four hundred forty-four billion, one hundred forty-five million, four hundred twenty-seven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83299 166598 249897 333196 416495 499794 689113 832990 999588 1249485 1378226 1665980 2067339 2498970 2756452 3445565 4134678 4997940 6891130 8269356 10336695 13782260 20673390 41346780 57402423787 114804847574 172207271361 229609695148 287012118935 344414542722 574024237870 688829085444 861036356805 1148048475740 1722072713610 3444145427220