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400142313240 = 233523144979099
BaseRepresentation
bin1011101001010100101…
…01110010011100011000
31102020211121100122001120
411310222111302130120
523023442413010430
6503453422245240
740623620354265
oct5645225623430
91366747318046
10400142313240
111447769a444a
1265672a26820
132b96bc78567
141551d04a26c
15a61e15a610
hex5d2a572718

400142313240 has 64 divisors (see below), whose sum is σ = 1252619424000. Its totient is φ = 102065284992.

The previous prime is 400142313211. The next prime is 400142313247. The reversal of 400142313240 is 42313241004.

It is a super-2 number, since 2×4001423132402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 400142313240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400142313247) by changing a digit.

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, 72486790 + ... + 72492309.

It is an arithmetic number, because the mean of its divisors is an integer number (19572178500).

Almost surely, 2400142313240 is an apocalyptic number.

400142313240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400142313240 is an abundant number, since it is smaller than the sum of its proper divisors (852477110760).

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

400142313240 is a wasteful number, since it uses less digits than its factorization.

400142313240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144979136 (or 144979132 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 400142313240 its reverse (42313241004), we get a palindrome (442455554244).

The spelling of 400142313240 in words is "four hundred billion, one hundred forty-two million, three hundred thirteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 144979099 289958198 434937297 579916396 724895495 869874594 1159832792 1449790990 1739749188 2174686485 2899581980 3334519277 3479498376 4349372970 5799163960 6669038554 8698745940 10003557831 13338077108 16672596385 17397491880 20007115662 26676154216 33345192770 40014231324 50017789155 66690385540 80028462648 100035578310 133380771080 200071156620 400142313240