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2413313230440 = 233572872991941
BaseRepresentation
bin100011000111100100101…
…011011000011001101000
322112201011221121101210210
4203013210223120121220
5304014431141333230
65044354421541120
7336233102666010
oct43074453303150
98481157541723
102413313230440
11850531449272
1232b8718747a0
13146761125258
1484b3ac36c40
1542b9859beb0
hex231e4ad8668

2413313230440 has 64 divisors (see below), whose sum is σ = 8274216792960. Its totient is φ = 551614452480.

The previous prime is 2413313230357. The next prime is 2413313230451. The reversal of 2413313230440 is 440323133142.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2413313230398 and 2413313230407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1436495131 + ... + 1436496810.

It is an arithmetic number, because the mean of its divisors is an integer number (129284637390).

Almost surely, 22413313230440 is an apocalyptic number.

2413313230440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2413313230440 is an abundant number, since it is smaller than the sum of its proper divisors (5860903562520).

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

2413313230440 is a wasteful number, since it uses less digits than its factorization.

2413313230440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2872991962 (or 2872991958 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 2413313230440 its reverse (440323133142), we get a palindrome (2853636363582).

The spelling of 2413313230440 in words is "two trillion, four hundred thirteen billion, three hundred thirteen million, two hundred thirty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 2872991941 5745983882 8618975823 11491967764 14364959705 17237951646 20110943587 22983935528 28729919410 34475903292 40221887174 43094879115 57459838820 60332830761 68951806584 80443774348 86189758230 100554717935 114919677640 120665661522 160887548696 172379516460 201109435870 241331323044 301664153805 344759032920 402218871740 482662646088 603328307610 804437743480 1206656615220 2413313230440