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400011412215540 = 223519733841913047
BaseRepresentation
bin101101011110011101110101…
…0001000011001011011110100
31221110022201101002100201210110
41122330323222020121123310
5404412241333011344130
63534430412250223020
7150153604460104626
oct13274735210313364
91843281332321713
10400011412215540
11106501983a13094
1238a44a84724a70
1314227bb69a2b08
1470ac92717cc16
15313a334e95ab0
hex16bceea2196f4

400011412215540 has 48 divisors (see below), whose sum is σ = 1125717395628672. Its totient is φ = 106128239312256.

The previous prime is 400011412215497. The next prime is 400011412215689. The reversal of 400011412215540 is 45512214110004.

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 = 400011412215498 and 400011412215507.

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, 16920944704 + ... + 16920968343.

It is an arithmetic number, because the mean of its divisors is an integer number (23452445742264).

Almost surely, 2400011412215540 is an apocalyptic number.

It is an amenable number.

400011412215540 is an abundant number, since it is smaller than the sum of its proper divisors (725705983413132).

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

400011412215540 is a wasteful number, since it uses less digits than its factorization.

400011412215540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33841913256 (or 33841913254 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

Adding to 400011412215540 its reverse (45512214110004), we get a palindrome (445523626325544).

The spelling of 400011412215540 in words is "four hundred trillion, eleven billion, four hundred twelve million, two hundred fifteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 197 394 591 788 985 1182 1970 2364 2955 3940 5910 11820 33841913047 67683826094 101525739141 135367652188 169209565235 203051478282 338419130470 406102956564 507628695705 676838260940 1015257391410 2030514782820 6666856870259 13333713740518 20000570610777 26667427481036 33334284351295 40001141221554 66668568702590 80002282443108 100002853053885 133337137405180 200005706107770 400011412215540