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1434123033040 = 24596329186097
BaseRepresentation
bin10100110111101000011…
…001001101100111010000
312002002201111111110220101
4110313220121031213100
5141444040444024130
63014454345422144
7205416622435255
oct24675031154720
95062644443811
101434123033040
11503232079045
121b1b38a9a954
13a5311239c99
144d5aa47342c
1527488c131ca
hex14de864d9d0

1434123033040 has 40 divisors (see below), whose sum is σ = 3334388583240. Its totient is φ = 573640175616.

The previous prime is 1434123033037. The next prime is 1434123033041. The reversal of 1434123033040 is 403303214341.

It can be written as a sum of positive squares in 4 ways, for example, as 87232803904 + 1346890229136 = 295352^2 + 1160556^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1434123033041) 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, 7613272 + ... + 7799368.

It is an arithmetic number, because the mean of its divisors is an integer number (83359714581).

Almost surely, 21434123033040 is an apocalyptic number.

1434123033040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1434123033040 is an abundant number, since it is smaller than the sum of its proper divisors (1900265550200).

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

1434123033040 is a wasteful number, since it uses less digits than its factorization.

1434123033040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282439 (or 282433 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 1434123033040 its reverse (403303214341), we get a palindrome (1837426247381).

The spelling of 1434123033040 in words is "one trillion, four hundred thirty-four billion, one hundred twenty-three million, thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 96329 186097 192658 372194 385316 481645 744388 770632 930485 963290 1488776 1541264 1860970 1926580 2977552 3721940 3853160 7443880 7706320 14887760 17926537913 35853075826 71706151652 89632689565 143412303304 179265379130 286824606608 358530758260 717061516520 1434123033040