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2400401130320 = 245139215863411
BaseRepresentation
bin100010111011100011000…
…011101000001101010000
322111110212002012202022102
4202323203003220031100
5303312010142132240
65034421250455532
7335265114646154
oct42734303501520
98443762182272
102400401130320
11846005950346
123292695945a8
1314548401b61b
148427402d064
154268ec0e815
hex22ee30e8350

2400401130320 has 40 divisors (see below), whose sum is σ = 5621083248480. Its totient is φ = 953252818560.

The previous prime is 2400401130319. The next prime is 2400401130467. The reversal of 2400401130320 is 230311040042.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2400401130292 and 2400401130301.

It is a congruent number.

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, 107920586 + ... + 107942825.

It is an arithmetic number, because the mean of its divisors is an integer number (140527081212).

Almost surely, 22400401130320 is an apocalyptic number.

2400401130320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400401130320 is an abundant number, since it is smaller than the sum of its proper divisors (3220682118160).

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

2400401130320 is a wasteful number, since it uses less digits than its factorization.

2400401130320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215863563 (or 215863557 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 2400401130320 its reverse (230311040042), we get a palindrome (2630712170362).

The spelling of 2400401130320 in words is "two trillion, four hundred billion, four hundred one million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 139 278 556 695 1112 1390 2224 2780 5560 11120 215863411 431726822 863453644 1079317055 1726907288 2158634110 3453814576 4317268220 8634536440 17269072880 30005014129 60010028258 120020056516 150025070645 240040113032 300050141290 480080226064 600100282580 1200200565160 2400401130320