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214412010204432 = 243172207119057461
BaseRepresentation
bin110000110000000110101111…
…101101000010110100010000
31001010011120212122102222112010
4300300012233231002310100
5211100411244103020212
62040003303453102520
763106520330643435
oct6060065755026420
91033146778388463
10214412010204432
1162355694061717
122006a598487a40
139283c72b495b1
143ad384d36bb8c
1519bc535e7003c
hexc301afb42d10

214412010204432 has 80 divisors (see below), whose sum is σ = 586745651446272. Its totient is φ = 67236033730560.

The previous prime is 214412010204383. The next prime is 214412010204439. The reversal of 214412010204432 is 234402010214412.

It is a self number, because there is not a number n which added to its sum of digits gives 214412010204432.

It is not an unprimeable number, because it can be changed into a prime (214412010204439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57727819 + ... + 61329642.

Almost surely, 2214412010204432 is an apocalyptic number.

It is an amenable number.

214412010204432 is an abundant number, since it is smaller than the sum of its proper divisors (372333641241840).

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

214412010204432 is a wasteful number, since it uses less digits than its factorization.

214412010204432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119059696 (or 119059690 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 214412010204432 its reverse (234402010214412), we get a palindrome (448814020418844).

The spelling of 214412010204432 in words is "two hundred fourteen trillion, four hundred twelve billion, ten million, two hundred four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 2207 4414 6621 8828 13242 17656 26484 35312 37519 52968 75038 105936 112557 150076 225114 300152 450228 600304 900456 1800912 119057461 238114922 357172383 476229844 714344766 952459688 1428689532 1904919376 2023976837 2857379064 4047953674 5714758128 6071930511 8095907348 12143861022 16191814696 24287722044 32383629392 48575444088 97150888176 262759816427 525519632854 788279449281 1051039265708 1576558898562 2102078531416 3153117797124 4204157062832 4466916879259 6306235594248 8933833758518 12612471188496 13400750637777 17867667517036 26801501275554 35735335034072 53603002551108 71470670068144 107206005102216 214412010204432