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412014423440440 = 235171947678503431
BaseRepresentation
bin101110110101110011001010…
…1010110011111110000111000
32000000211012020120120220121001
41131223212111112133300320
5413000421014400043230
64020140451345254344
7152533026334113532
oct13553462526376070
92000735216526531
10412014423440440
1110a30a376924807
123a2631a49343b4
13148b8a411a7182
1473a5866a46852
1532976924260ca
hex176b99559fc38

412014423440440 has 128 divisors (see below), whose sum is σ = 1055208537446400. Its totient is φ = 143821015050240.

The previous prime is 412014423440419. The next prime is 412014423440449. The reversal of 412014423440440 is 44044324410214.

It is a self number, because there is not a number n which added to its sum of digits gives 412014423440440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412014423440449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 338644476 + ... + 339858955.

It is an arithmetic number, because the mean of its divisors is an integer number (8243816698800).

Almost surely, 2412014423440440 is an apocalyptic number.

412014423440440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412014423440440 is an abundant number, since it is smaller than the sum of its proper divisors (643194114005960).

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

412014423440440 is a wasteful number, since it uses less digits than its factorization.

412014423440440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678503525 (or 678503521 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 37.

Adding to 412014423440440 its reverse (44044324410214), we get a palindrome (456058747850654).

The spelling of 412014423440440 in words is "four hundred twelve trillion, fourteen billion, four hundred twenty-three million, four hundred forty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 19 20 34 38 40 47 68 76 85 94 95 136 152 170 188 190 235 323 340 376 380 470 646 680 760 799 893 940 1292 1598 1615 1786 1880 2584 3196 3230 3572 3995 4465 6392 6460 7144 7990 8930 12920 15181 15980 17860 30362 31960 35720 60724 75905 121448 151810 303620 607240 678503431 1357006862 2714013724 3392517155 5428027448 6785034310 11534558327 12891565189 13570068620 23069116654 25783130378 27140137240 31889661257 46138233308 51566260756 57672791635 63779322514 64457825945 92276466616 103132521512 115345583270 127558645028 128915651890 159448306285 219156608213 230691166540 255117290056 257831303780 318896612570 438313216426 461382333080 515662607560 542124241369 605903563883 637793225140 876626432852 1084248482738 1095783041065 1211807127766 1275586450280 1753252865704 2168496965476 2191566082130 2423614255532 2710621206845 3029517819415 4336993930952 4383132164260 4847228511064 5421242413690 6059035638830 8766264328520 10300360586011 10842484827380 12118071277660 20600721172022 21684969654760 24236142555320 41201442344044 51501802930055 82402884688088 103003605860110 206007211720220 412014423440440