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414000121002 = 231321792280917
BaseRepresentation
bin1100000011001000101…
…01001000010010101010
31110120121101021012112220
412001210111020102222
523240333012333002
6514104455214510
741624210652216
oct6014425102252
91416541235486
10414000121002
1114a638303536
126829b977436
1330069c90300
14160756ab946
15ab80a527bc
hex60645484aa

414000121002 has 48 divisors (see below), whose sum is σ = 901601267040. Its totient is φ = 126672950976.

The previous prime is 414000120997. The next prime is 414000121021. The reversal of 414000121002 is 200121000414.

It is a super-2 number, since 2×4140001210022 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 958953 + ... + 1321964.

It is an arithmetic number, because the mean of its divisors is an integer number (18783359730).

Almost surely, 2414000121002 is an apocalyptic number.

414000121002 is an abundant number, since it is smaller than the sum of its proper divisors (487601146038).

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

414000121002 is a wasteful number, since it uses less digits than its factorization.

414000121002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2281127 (or 2281114 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 414000121002 its reverse (200121000414), we get a palindrome (614121121416).

The spelling of 414000121002 in words is "four hundred fourteen billion, one hundred twenty-one thousand, two".

Divisors: 1 2 3 6 13 26 39 78 169 179 338 358 507 537 1014 1074 2327 4654 6981 13962 30251 60502 90753 181506 2280917 4561834 6842751 13685502 29651921 59303842 88955763 177911526 385474973 408284143 770949946 816568286 1156424919 1224852429 2312849838 2449704858 5307693859 10615387718 15923081577 31846163154 69000020167 138000040334 207000060501 414000121002