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201434401314234 = 2321119408291311433
BaseRepresentation
bin101101110011010000011001…
…111011111001010110111010
3222102012221101202202200111200
4231303100121323321112322
5202400300123214023414
61552225404135435030
760300104150314404
oct5563203173712672
9872187352680450
10201434401314234
1159201939181150
121a713405525a76
13885224b06109a
1437a5697015b74
151844b87421109
hexb73419ef95ba

201434401314234 has 96 divisors (see below), whose sum is σ = 501189158059200. Its totient is φ = 57826597351680.

The previous prime is 201434401314197. The next prime is 201434401314247. The reversal of 201434401314234 is 432413104434102.

201434401314234 is a `hidden beast` number, since 2 + 0 + 1 + 4 + 3 + 4 + 401 + 3 + 14 + 234 = 666.

It is a super-2 number, since 2×2014344013142342 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152942982 + ... + 154254414.

It is an arithmetic number, because the mean of its divisors is an integer number (5220720396450).

Almost surely, 2201434401314234 is an apocalyptic number.

201434401314234 is an abundant number, since it is smaller than the sum of its proper divisors (299754756744966).

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

201434401314234 is a wasteful number, since it uses less digits than its factorization.

201434401314234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352300 (or 1352297 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 201434401314234 its reverse (432413104434102), we get a palindrome (633847505748336).

The spelling of 201434401314234 in words is "two hundred one trillion, four hundred thirty-four billion, four hundred one million, three hundred fourteen thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 171 198 209 342 418 627 1254 1881 3762 40829 81658 122487 244974 367461 449119 734922 775751 898238 1311433 1347357 1551502 2327253 2622866 2694714 3934299 4042071 4654506 6981759 7868598 8084142 8533261 11802897 13963518 14425763 17066522 23605794 24917227 25599783 28851526 43277289 49834454 51199566 74751681 76799349 86554578 129831867 149503362 153598698 224255043 259663734 274089497 448510086 548178994 822268491 1644536982 2466805473 4933610946 53544497957 107088995914 160633493871 321266987742 481900481613 588989477527 963800963226 1017345461183 1177978955054 1766968432581 2034690922366 3052036383549 3533936865162 5300905297743 6104072767098 9156109150647 10601810595486 11190800073013 18312218301294 22381600146026 33572400219039 67144800438078 100717200657117 201434401314234