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400141311312 = 24356916019151
BaseRepresentation
bin1011101001010100100…
…01111101110101010000
31102020211112110201200010
411310222101331311100
523023442133430222
6503453344554520
740623606012231
oct5645221756520
91366745421603
10400141311312
1114477637a706
1265672622a40
132b96b9b74c2
141551cc69088
15a61e00d80c
hex5d2a47dd50

400141311312 has 80 divisors (see below), whose sum is σ = 1036275102720. Its totient is φ = 133048320000.

The previous prime is 400141311289. The next prime is 400141311329. The reversal of 400141311312 is 213113141004.

It is a super-2 number, since 2×4001413113122 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43721937 + ... + 43731087.

It is an arithmetic number, because the mean of its divisors is an integer number (12953438784).

Almost surely, 2400141311312 is an apocalyptic number.

It is an amenable number.

400141311312 is an abundant number, since it is smaller than the sum of its proper divisors (636133791408).

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

400141311312 is a wasteful number, since it uses less digits than its factorization.

400141311312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11332 (or 11326 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 400141311312 its reverse (213113141004), we get a palindrome (613254452316).

The spelling of 400141311312 in words is "four hundred billion, one hundred forty-one million, three hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 569 1138 1601 1707 2276 3202 3414 4552 4803 6404 6828 9104 9151 9606 12808 13656 18302 19212 25616 27312 27453 36604 38424 54906 73208 76848 109812 146416 219624 439248 910969 1821938 2732907 3643876 5206919 5465814 7287752 10413838 10931628 14575504 14650751 15620757 20827676 21863256 29301502 31241514 41655352 43726512 43952253 58603004 62483028 83310704 87904506 117206008 124966056 175809012 234412016 249932112 351618024 703236048 8336277319 16672554638 25008831957 33345109276 50017663914 66690218552 100035327828 133380437104 200070655656 400141311312