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434212242402114 = 233112373435376439
BaseRepresentation
bin110001010111010011110101…
…0011101110010101101000010
32002221102021200202011201121000
41202232213222131302231002
5423403113133023331424
64135254203403312430
7160313541102104301
oct14256475235625502
92087367622151530
10434212242402114
11116398417a45410
12408492a951b716
131583906721b6c7
147931dadcd2438
15352eccbeda3c9
hex18ae9ea772b42

434212242402114 has 128 divisors (see below), whose sum is σ = 1113449122713600. Its totient is φ = 124134530002560.

The previous prime is 434212242402089. The next prime is 434212242402139. The reversal of 434212242402114 is 411204242212434.

434212242402114 is a `hidden beast` number, since 4 + 3 + 4 + 2 + 1 + 2 + 242 + 402 + 1 + 1 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (434212242402089) and next prime (434212242402139).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 216690894 + ... + 218685545.

It is an arithmetic number, because the mean of its divisors is an integer number (8698821271200).

Almost surely, 2434212242402114 is an apocalyptic number.

434212242402114 is an abundant number, since it is smaller than the sum of its proper divisors (679236880311486).

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

434212242402114 is a wasteful number, since it uses less digits than its factorization.

434212242402114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435376557 (or 435376551 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 434212242402114 its reverse (411204242212434), we get a palindrome (845416484614548).

The spelling of 434212242402114 in words is "four hundred thirty-four trillion, two hundred twelve billion, two hundred forty-two million, four hundred two thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 46 54 66 69 73 99 138 146 198 207 219 253 297 414 438 506 594 621 657 759 803 1242 1314 1518 1606 1679 1971 2277 2409 3358 3942 4554 4818 5037 6831 7227 10074 13662 14454 15111 18469 21681 30222 36938 43362 45333 55407 90666 110814 166221 332442 498663 997326 435376439 870752878 1306129317 2612258634 3918387951 4789140829 7836775902 9578281658 10013658097 11755163853 14367422487 20027316194 23510327706 28734844974 30040974291 31782480047 43102267461 60081948582 63564960094 86204534922 90122922873 95347440141 110150239067 129306802383 180245845746 190694880282 220300478134 258613604766 270368768619 286042320423 330450717201 349607280517 540737537238 572084640846 660901434402 699214561034 730997041081 858126961269 991352151603 1048821841551 1461994082162 1716253922538 1982704303206 2097643683102 2192991123243 2974056454809 3146465524653 4385982246486 5948112909618 6292931049306 6578973369729 8040967451891 9439396573959 13157946739458 16081934903782 18878793147918 19736920109187 24122902355673 39473840218374 48245804711346 72368707067019 144737414134038 217106121201057 434212242402114