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2141314103440 = 24529922980217
BaseRepresentation
bin11111001010010000010…
…001000011100010010000
321120201002212021002202001
4133022100101003202100
5240040402402302230
64315412304403344
7310463521364521
oct37122021034220
97521085232661
102141314103440
11756142a95326
122a7001916554
13126c0445b865
14758d6830848
153aa792780ca
hex1f290443890

2141314103440 has 40 divisors (see below), whose sum is σ = 5150229616440. Its totient is φ = 826990273536.

The previous prime is 2141314103417. The next prime is 2141314103441. The reversal of 2141314103440 is 443014131412.

It can be written as a sum of positive squares in 4 ways, for example, as 403219920016 + 1738094183424 = 634996^2 + 1318368^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 2141314103399 and 2141314103408.

It is not an unprimeable number, because it can be changed into a prime (2141314103441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 461487789 + ... + 461492428.

It is an arithmetic number, because the mean of its divisors is an integer number (128755740411).

Almost surely, 22141314103440 is an apocalyptic number.

2141314103440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2141314103440 is an abundant number, since it is smaller than the sum of its proper divisors (3008915513000).

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

2141314103440 is a wasteful number, since it uses less digits than its factorization.

2141314103440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922980259 (or 922980253 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 2141314103440 its reverse (443014131412), we get a palindrome (2584328234852).

The spelling of 2141314103440 in words is "two trillion, one hundred forty-one billion, three hundred fourteen million, one hundred three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 922980217 1845960434 3691920868 4614901085 7383841736 9229802170 14767683472 18459604340 26766426293 36919208680 53532852586 73838417360 107065705172 133832131465 214131410344 267664262930 428262820688 535328525860 1070657051720 2141314103440