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411212242212114 = 237171442339931187
BaseRepresentation
bin101110101111111101100111…
…1100111111101010100010010
31222220222111200012002021212010
41131133323033213331110102
5412344300133001241424
64014324143545443350
7152421050463144330
oct13537731747752422
91886874605067763
10411212242212114
1110a0301504a1982
123a15382baa0556
131485b1c036c465
147378ac8b2cb50
1532818928c4229
hex175fecf9fd512

411212242212114 has 64 divisors (see below), whose sum is σ = 995271763470336. Its totient is φ = 110570412382464.

The previous prime is 411212242212089. The next prime is 411212242212179.

411212242212114 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4112122422121142 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9667572 + ... + 30263615.

It is an arithmetic number, because the mean of its divisors is an integer number (15551121304224).

Almost surely, 2411212242212114 is an apocalyptic number.

411212242212114 is an abundant number, since it is smaller than the sum of its proper divisors (584059521258222).

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

411212242212114 is a wasteful number, since it uses less digits than its factorization.

411212242212114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39945639.

The product of its digits is 4096, while the sum is 30.

The spelling of 411212242212114 in words is "four hundred eleven trillion, two hundred twelve billion, two hundred forty-two million, two hundred twelve thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 238 357 714 14423 28846 43269 86538 100961 201922 245191 302883 490382 605766 735573 1471146 1716337 3432674 5149011 10298022 39931187 79862374 119793561 239587122 279518309 559036618 678830179 838554927 1357660358 1677109854 2036490537 4072981074 4751811253 9503622506 14255433759 28510867518 575927510101 1151855020202 1727782530303 3455565060606 4031492570707 8062985141414 9790767671717 12094477712121 19581535343434 24188955424242 29372303015151 58744606030302 68535373702019 137070747404038 205606121106057 411212242212114