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2331314401040 = 245291004876897
BaseRepresentation
bin100001111011001101001…
…010101010111100010000
322020212112022100021100022
4201323031022222330100
5301144012441313130
64542554022243012
7330301100306312
oct41731512527420
98225468307308
102331314401040
11819783225069
123179a8586468
1313bac3b65b61
1480b9c8297b2
154099989c7e5
hex21ecd2aaf10

2331314401040 has 40 divisors (see below), whose sum is σ = 5607213090840. Its totient is φ = 900369698816.

The previous prime is 2331314401027. The next prime is 2331314401081. The reversal of 2331314401040 is 401044131332.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 166225813264 + 2165088587776 = 407708^2 + 1471424^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 502436129 + ... + 502440768.

It is an arithmetic number, because the mean of its divisors is an integer number (140180327271).

Almost surely, 22331314401040 is an apocalyptic number.

2331314401040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2331314401040 is an abundant number, since it is smaller than the sum of its proper divisors (3275898689800).

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

2331314401040 is a wasteful number, since it uses less digits than its factorization.

2331314401040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004876939 (or 1004876933 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 2331314401040 its reverse (401044131332), we get a palindrome (2732358532372).

The spelling of 2331314401040 in words is "two trillion, three hundred thirty-one billion, three hundred fourteen million, four hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 1004876897 2009753794 4019507588 5024384485 8039015176 10048768970 16078030352 20097537940 29141430013 40195075880 58282860026 80390151760 116565720052 145707150065 233131440104 291414300130 466262880208 582828600260 1165657200520 2331314401040