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412421120104 = 237235341914419
BaseRepresentation
bin1100000000001100011…
…01101110000001101000
31110102112100002122112011
412000012031232001220
523224114301320404
6513244051525304
741540115452110
oct6000615560150
91412470078464
10412421120104
111499a7a74814
1267b1abb9834
132cb77aca656
1415d65ac2040
15aadc100604
hex600636e068

412421120104 has 128 divisors (see below), whose sum is σ = 941891328000. Its totient is φ = 165469734144.

The previous prime is 412421120101. The next prime is 412421120129. The reversal of 412421120104 is 401021124214.

It is not an unprimeable number, because it can be changed into a prime (412421120101) 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, 28595407 + ... + 28609825.

It is an arithmetic number, because the mean of its divisors is an integer number (7358526000).

Almost surely, 2412421120104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412421120104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470945664000).

412421120104 is an abundant number, since it is smaller than the sum of its proper divisors (529470207896).

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

412421120104 is a wasteful number, since it uses less digits than its factorization.

412421120104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14927 (or 14923 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 412421120104 its reverse (401021124214), we get a palindrome (813442244318).

The spelling of 412421120104 in words is "four hundred twelve billion, four hundred twenty-one million, one hundred twenty thousand, one hundred four".

Divisors: 1 2 4 7 8 14 23 28 46 53 56 92 106 161 184 212 322 371 419 424 644 742 838 1219 1288 1484 1676 2438 2933 2968 3352 4876 5866 8533 9637 9752 11732 14419 17066 19274 22207 23464 28838 34132 38548 44414 57676 67459 68264 77096 88828 100933 115352 134918 155449 177656 201866 269836 310898 331637 403732 510761 539672 621796 663274 764207 807464 1021522 1243592 1326548 1528414 2043044 2321459 2653096 3056828 3575327 4086088 4642918 5349449 6041561 6113656 7150654 9285836 10698898 12083122 14301308 17576761 18571672 21397796 24166244 28602616 35153522 42290927 42795592 48332488 70307044 84581854 123037327 138955903 140614088 169163708 246074654 277911806 320202733 338327416 492149308 555823612 640405466 972691321 984298616 1111647224 1280810932 1945382642 2241419131 2561621864 3890765284 4482838262 7364662859 7781530568 8965676524 14729325718 17931353048 29458651436 51552640013 58917302872 103105280026 206210560052 412421120104